<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019fd847-54c0-72c4-9719-f2a81bba91f4,g:e88a6e4e-05a7-4466-a25f-c713eff05713-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="https://xbrl.org/2023/arcrole/summation-item" xlink:type="simple" xlink:href="https://www.xbrl.org/2023/calculation-1.1.xsd#summation-item"/>
  <link:roleRef roleURI="http://fivestarbank.com/role/CONSOLIDATEDBALANCESHEETSUnaudited" xlink:type="simple" xlink:href="fsbc-20260930.xsd#CONSOLIDATEDBALANCESHEETSUnaudited"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/CONSOLIDATEDBALANCESHEETSUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableNet_019fd847-5885-7aef-a66d-24fe06e40426" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableAllowanceForCreditLosses_019fd847-5885-75ee-a491-6e89dd63cb50" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLosses"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableNet_019fd847-5885-7aef-a66d-24fe06e40426" xlink:to="loc_us-gaap_FinancingReceivableAllowanceForCreditLosses_019fd847-5885-75ee-a491-6e89dd63cb50" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableGross_019fd847-5885-7b34-b659-79299280ed1a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableNet_019fd847-5885-7aef-a66d-24fe06e40426" xlink:to="loc_us-gaap_NotesReceivableGross_019fd847-5885-7b34-b659-79299280ed1a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_019fd847-5885-7514-8804-95247541b633" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_019fd847-5885-798f-8f85-96758c7d47ac" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019fd847-5885-7514-8804-95247541b633" xlink:to="loc_us-gaap_Liabilities_019fd847-5885-798f-8f85-96758c7d47ac" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019fd847-5885-745f-911f-31a93970cd67" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019fd847-5885-7514-8804-95247541b633" xlink:to="loc_us-gaap_StockholdersEquity_019fd847-5885-745f-911f-31a93970cd67" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_019fd847-5885-7273-98dd-074846d75c5a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Deposits_019fd847-5885-7a57-8c89-e9714077d1da" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Deposits"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019fd847-5885-7273-98dd-074846d75c5a" xlink:to="loc_us-gaap_Deposits_019fd847-5885-7a57-8c89-e9714077d1da" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubordinatedDebt_019fd847-5885-75e2-8a1c-9e445a99ab3b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubordinatedDebt"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019fd847-5885-7273-98dd-074846d75c5a" xlink:to="loc_us-gaap_SubordinatedDebt_019fd847-5885-75e2-8a1c-9e445a99ab3b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_019fd847-5885-716d-929c-3ae7510e80b3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019fd847-5885-7273-98dd-074846d75c5a" xlink:to="loc_us-gaap_OperatingLeaseLiability_019fd847-5885-716d-929c-3ae7510e80b3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPayableCurrentAndNoncurrent_019fd847-5885-79b3-87d8-42ab8336de6a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestPayableCurrentAndNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019fd847-5885-7273-98dd-074846d75c5a" xlink:to="loc_us-gaap_InterestPayableCurrentAndNoncurrent_019fd847-5885-79b3-87d8-42ab8336de6a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue_019fd847-5885-7d2c-b54b-a23ab982922e" xlink:href="fsbc-20260930.xsd#fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndDueFromBanks_019fd847-5885-7dbc-b004-d976b3371123" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndDueFromBanks"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue_019fd847-5885-7d2c-b54b-a23ab982922e" xlink:to="loc_us-gaap_CashAndDueFromBanks_019fd847-5885-7dbc-b004-d976b3371123" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDepositsInBanks_019fd847-5885-7773-9511-5f7ec17681a0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDepositsInBanks"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue_019fd847-5885-7d2c-b54b-a23ab982922e" xlink:to="loc_us-gaap_InterestBearingDepositsInBanks_019fd847-5885-7773-9511-5f7ec17681a0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019fd847-5885-77db-b6ba-ca212e745bd1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_019fd847-5885-74ba-b06f-3a98c9adb6cc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019fd847-5885-77db-b6ba-ca212e745bd1" xlink:to="loc_us-gaap_PreferredStockValue_019fd847-5885-74ba-b06f-3a98c9adb6cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_019fd847-5885-773e-b208-62d63f2e5eee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019fd847-5885-77db-b6ba-ca212e745bd1" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_019fd847-5885-773e-b208-62d63f2e5eee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_019fd847-5885-7f93-bccc-992019da4ca2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019fd847-5885-77db-b6ba-ca212e745bd1" xlink:to="loc_us-gaap_CommonStockValue_019fd847-5885-7f93-bccc-992019da4ca2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_019fd847-5885-775b-9018-67bc1159152b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019fd847-5885-77db-b6ba-ca212e745bd1" xlink:to="loc_us-gaap_CommitmentsAndContingencies_019fd847-5885-775b-9018-67bc1159152b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_019fd847-5885-7164-bb29-16ea93a01274" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019fd847-5885-77db-b6ba-ca212e745bd1" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_019fd847-5885-7164-bb29-16ea93a01274" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Deposits_019fd847-5885-783f-a554-e623c9d56730" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Deposits"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestBearingDepositLiabilities_019fd847-5885-7998-85d1-76db8ebf3cff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestBearingDepositLiabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Deposits_019fd847-5885-783f-a554-e623c9d56730" xlink:to="loc_us-gaap_NoninterestBearingDepositLiabilities_019fd847-5885-7998-85d1-76db8ebf3cff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5885-71ba-b162-140d5b653537" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDepositLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Deposits_019fd847-5885-783f-a554-e623c9d56730" xlink:to="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5885-71ba-b162-140d5b653537" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue_019fd847-5885-73ae-a5d2-03a00bc7148a" xlink:href="fsbc-20260930.xsd#fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_fsbc_CashAndCashEquivalentsLessTimeDepositsAtCarryingValue_019fd847-5885-73ae-a5d2-03a00bc7148a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TimeDepositsAtCarryingValue_019fd847-5885-7a9a-9df0-ee46207fb52e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositsAtCarryingValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_TimeDepositsAtCarryingValue_019fd847-5885-7a9a-9df0-ee46207fb52e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5885-704f-b8c8-6725fb24d6d6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5885-704f-b8c8-6725fb24d6d6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5885-760e-a21b-a0d944c2db91" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5885-760e-a21b-a0d944c2db91" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableNet_019fd847-5885-778e-b6ed-e20c19badd03" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_NotesReceivableNet_019fd847-5885-778e-b6ed-e20c19badd03" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FederalHomeLoanBankStock_019fd847-5885-72f3-bd2c-e8fc130d7b95" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankStock"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_FederalHomeLoanBankStock_019fd847-5885-72f3-bd2c-e8fc130d7b95" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_019fd847-5885-7651-8df4-bd8295306db9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_019fd847-5885-7651-8df4-bd8295306db9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BankOwnedLifeInsurance_019fd847-5885-73ef-a7f7-3ce853a2f8d6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankOwnedLifeInsurance"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_BankOwnedLifeInsurance_019fd847-5885-73ef-a7f7-3ce853a2f8d6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestReceivableAndOtherAssets_019fd847-5885-7cfb-bd7e-64e929212c3f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestReceivableAndOtherAssets"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_InterestReceivableAndOtherAssets_019fd847-5885-7cfb-bd7e-64e929212c3f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_019fd847-5885-72df-a9db-d811b4158654" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019fd847-5885-7bf0-b01b-bfc57055fe42" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_019fd847-5885-72df-a9db-d811b4158654" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/CONSOLIDATEDSTATEMENTSOFINCOMEUnaudited" xlink:type="simple" xlink:href="fsbc-20260930.xsd#CONSOLIDATEDSTATEMENTSOFINCOMEUnaudited"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/CONSOLIDATEDSTATEMENTSOFINCOMEUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019fd847-5885-78c7-a959-f155d188d5c1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019fd847-5885-7cbf-be02-c0f4458f3b77" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_019fd847-5885-78c7-a959-f155d188d5c1" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019fd847-5885-7cbf-be02-c0f4458f3b77" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_019fd847-5885-7b1b-8555-a3ad34e0bcf6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_019fd847-5885-78c7-a959-f155d188d5c1" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_019fd847-5885-7b1b-8555-a3ad34e0bcf6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019fd847-5885-7d02-ae3e-2feb035db097" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_019fd847-5885-7ca5-ab94-4a8c48348a1e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019fd847-5885-7d02-ae3e-2feb035db097" xlink:to="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_019fd847-5885-7ca5-ab94-4a8c48348a1e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncome_019fd847-5885-7f14-94e4-0b17b8505d81" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019fd847-5885-7d02-ae3e-2feb035db097" xlink:to="loc_us-gaap_NoninterestIncome_019fd847-5885-7f14-94e4-0b17b8505d81" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpense_019fd847-5885-7fe3-a4a4-faefc8de0561" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestExpense"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019fd847-5885-7d02-ae3e-2feb035db097" xlink:to="loc_us-gaap_NoninterestExpense_019fd847-5885-7fe3-a4a4-faefc8de0561" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestIncome"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_ServiceChargesOnDepositAccounts_019fd847-5885-7508-ac7a-0082dafbc286" xlink:href="fsbc-20260930.xsd#fsbc_ServiceChargesOnDepositAccounts"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:to="loc_fsbc_ServiceChargesOnDepositAccounts_019fd847-5885-7508-ac7a-0082dafbc286" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_LoanRelatedFees_019fd847-5885-776b-9c98-5c9e45db9bb5" xlink:href="fsbc-20260930.xsd#fsbc_LoanRelatedFees"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:to="loc_fsbc_LoanRelatedFees_019fd847-5885-776b-9c98-5c9e45db9bb5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BankOwnedLifeInsuranceIncome_019fd847-5885-7cfe-b6fe-6d50f987ef9b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankOwnedLifeInsuranceIncome"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:to="loc_us-gaap_BankOwnedLifeInsuranceIncome_019fd847-5885-7cfe-b6fe-6d50f987ef9b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_FederalHomeLoanBankStockDividends_019fd847-5885-79d5-bfc5-78c464ec7d83" xlink:href="fsbc-20260930.xsd#fsbc_FederalHomeLoanBankStockDividends"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:to="loc_fsbc_FederalHomeLoanBankStockDividends_019fd847-5885-79d5-bfc5-78c464ec7d83" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSaleOfLoansAndLeases_019fd847-5885-75be-9af3-2d1b5d0c577b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainLossOnSaleOfLoansAndLeases"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:to="loc_us-gaap_GainLossOnSaleOfLoansAndLeases_019fd847-5885-75be-9af3-2d1b5d0c577b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncomeOtherOperatingIncome_019fd847-5885-7daa-b776-b279f7066693" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestIncomeOtherOperatingIncome"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_019fd847-5885-7ea7-8571-cb60628b0510" xlink:to="loc_us-gaap_NoninterestIncomeOtherOperatingIncome_019fd847-5885-7daa-b776-b279f7066693" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOperating_019fd847-5885-727d-ac52-04f8209f8268" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseOperating"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDeposits_019fd847-5885-7f75-b715-5f6241d44a91" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDeposits"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseOperating_019fd847-5885-727d-ac52-04f8209f8268" xlink:to="loc_us-gaap_InterestExpenseDeposits_019fd847-5885-7f75-b715-5f6241d44a91" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseSubordinatedNotesAndDebentures_019fd847-5885-74a5-a931-6bb23d282526" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseSubordinatedNotesAndDebentures"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseOperating_019fd847-5885-727d-ac52-04f8209f8268" xlink:to="loc_us-gaap_InterestExpenseSubordinatedNotesAndDebentures_019fd847-5885-74a5-a931-6bb23d282526" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_019fd847-5885-7293-9263-f4b3d44bdc8f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_019fd847-5885-7b3d-ae0f-032fcadae503" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_019fd847-5885-7293-9263-f4b3d44bdc8f" xlink:to="loc_us-gaap_InterestIncomeExpenseNet_019fd847-5885-7b3d-ae0f-032fcadae503" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForLoanLeaseAndOtherLosses_019fd847-5885-7c14-b6b5-1c3fdd8fe27e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProvisionForLoanLeaseAndOtherLosses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_019fd847-5885-7293-9263-f4b3d44bdc8f" xlink:to="loc_us-gaap_ProvisionForLoanLeaseAndOtherLosses_019fd847-5885-7c14-b6b5-1c3fdd8fe27e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LaborAndRelatedExpense_019fd847-5885-7d57-ac97-9b2799c6486a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LaborAndRelatedExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_LaborAndRelatedExpense_019fd847-5885-7d57-ac97-9b2799c6486a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OccupancyNet_019fd847-5885-71ca-af63-0a7aff00b8e1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OccupancyNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_OccupancyNet_019fd847-5885-71ca-af63-0a7aff00b8e1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InformationTechnologyAndDataProcessing_019fd847-5885-799a-aaf3-8b30d3610186" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InformationTechnologyAndDataProcessing"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_InformationTechnologyAndDataProcessing_019fd847-5885-799a-aaf3-8b30d3610186" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FederalDepositInsuranceCorporationPremiumExpense_019fd847-5885-7f3c-b607-1a82d8f61d03" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalDepositInsuranceCorporationPremiumExpense"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_FederalDepositInsuranceCorporationPremiumExpense_019fd847-5885-7f3c-b607-1a82d8f61d03" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfessionalFees_019fd847-5885-7e4c-b7af-864fda9bde24" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProfessionalFees"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_ProfessionalFees_019fd847-5885-7e4c-b7af-864fda9bde24" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdvertisingExpense_019fd847-5885-7419-96f3-d61f9f97c218" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdvertisingExpense"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_AdvertisingExpense_019fd847-5885-7419-96f3-d61f9f97c218" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_LoanRelatedExpenses_019fd847-5885-7e47-8c94-b791437e281b" xlink:href="fsbc-20260930.xsd#fsbc_LoanRelatedExpenses"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_fsbc_LoanRelatedExpenses_019fd847-5885-7e47-8c94-b791437e281b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoninterestExpense_019fd847-5885-74d3-9175-f78ea946ef82" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherNoninterestExpense"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_019fd847-5885-770e-a24c-55a0857d3b71" xlink:to="loc_us-gaap_OtherNoninterestExpense_019fd847-5885-74d3-9175-f78ea946ef82" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e3c-8935-3fd947f4e6bd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndDividendIncomeOperating"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndFeeIncomeLoansAndLeases_019fd847-5885-71ce-9a0a-15b7a6e648fd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndFeeIncomeLoansAndLeases"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e3c-8935-3fd947f4e6bd" xlink:to="loc_us-gaap_InterestAndFeeIncomeLoansAndLeases_019fd847-5885-71ce-9a0a-15b7a6e648fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeSecuritiesTaxable_019fd847-5885-78f0-96cc-7016b102d476" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeSecuritiesTaxable"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e3c-8935-3fd947f4e6bd" xlink:to="loc_us-gaap_InterestIncomeSecuritiesTaxable_019fd847-5885-78f0-96cc-7016b102d476" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeSecuritiesTaxExempt_019fd847-5885-7bc9-9553-9f71ac3fdd1d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeSecuritiesTaxExempt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e3c-8935-3fd947f4e6bd" xlink:to="loc_us-gaap_InterestIncomeSecuritiesTaxExempt_019fd847-5885-7bc9-9553-9f71ac3fdd1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeDepositsWithFinancialInstitutions_019fd847-5885-7039-b0ca-3b63fb6ed3a6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeDepositsWithFinancialInstitutions"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e3c-8935-3fd947f4e6bd" xlink:to="loc_us-gaap_InterestIncomeDepositsWithFinancialInstitutions_019fd847-5885-7039-b0ca-3b63fb6ed3a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_019fd847-5885-79ab-b4f1-14c358664b0a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e90-adc2-7a1e8d4164e9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndDividendIncomeOperating"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseNet_019fd847-5885-79ab-b4f1-14c358664b0a" xlink:to="loc_us-gaap_InterestAndDividendIncomeOperating_019fd847-5885-7e90-adc2-7a1e8d4164e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOperating_019fd847-5885-714c-a407-e0aa395f3096" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseOperating"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseNet_019fd847-5885-79ab-b4f1-14c358664b0a" xlink:to="loc_us-gaap_InterestExpenseOperating_019fd847-5885-714c-a407-e0aa395f3096" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/CONSOLIDATEDSTATEMENTSOFCOMPREHENSIVEINCOMEUnaudited" xlink:type="simple" xlink:href="fsbc-20260930.xsd#CONSOLIDATEDSTATEMENTSOFCOMPREHENSIVEINCOMEUnaudited"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/CONSOLIDATEDSTATEMENTSOFCOMPREHENSIVEINCOMEUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_019fd847-5885-7ef9-80d7-94a99c274037" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019fd847-5885-7fef-ae4c-82b4965c527d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_019fd847-5885-7ef9-80d7-94a99c274037" xlink:to="loc_us-gaap_NetIncomeLoss_019fd847-5885-7fef-ae4c-82b4965c527d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_019fd847-5885-7181-a33c-d4d23b878302" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_019fd847-5885-7ef9-80d7-94a99c274037" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_019fd847-5885-7181-a33c-d4d23b878302" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_019fd847-5885-71a4-89c9-d4823513b9b2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1_019fd847-5885-7365-b308-3354b2cb227a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_019fd847-5885-71a4-89c9-d4823513b9b2" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1_019fd847-5885-7365-b308-3354b2cb227a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax_019fd847-5885-7113-ba39-39c5fc069f68" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_019fd847-5885-71a4-89c9-d4823513b9b2" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeReclassificationAdjustmentsAndTax_019fd847-5885-7113-ba39-39c5fc069f68" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWSUnaudited" xlink:type="simple" xlink:href="fsbc-20260930.xsd#CONSOLIDATEDSTATEMENTSOFCASHFLOWSUnaudited"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWSUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019fd847-5885-7b73-974b-7b1d443113dd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-7d03-a2fb-078461a3f88f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019fd847-5885-7b73-974b-7b1d443113dd" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-7d03-a2fb-078461a3f88f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-780e-980b-20f3764ae063" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019fd847-5885-7b73-974b-7b1d443113dd" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-780e-980b-20f3764ae063" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019fd847-5885-72d8-8141-dc234e381c9a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019fd847-5885-7b73-974b-7b1d443113dd" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019fd847-5885-72d8-8141-dc234e381c9a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxesPaidNet_019fd847-5885-78d3-a4df-acadeece6037" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxesPaidNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidFederalAfterRefundReceived_019fd847-5885-7052-8362-872566ad1f44" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidFederalAfterRefundReceived"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxesPaidNet_019fd847-5885-78d3-a4df-acadeece6037" xlink:to="loc_us-gaap_IncomeTaxPaidFederalAfterRefundReceived_019fd847-5885-7052-8362-872566ad1f44" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived_019fd847-5885-78ef-9844-71deee9b32a8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxesPaidNet_019fd847-5885-78d3-a4df-acadeece6037" xlink:to="loc_us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived_019fd847-5885-78ef-9844-71deee9b32a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_IncomeTaxPaidFederalEnergyRelatedTaxCredits_01a19d97-839a-777b-b601-cd5abff038f8" xlink:href="fsbc-20260930.xsd#fsbc_IncomeTaxPaidFederalEnergyRelatedTaxCredits"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxesPaidNet_019fd847-5885-78d3-a4df-acadeece6037" xlink:to="loc_fsbc_IncomeTaxPaidFederalEnergyRelatedTaxCredits_01a19d97-839a-777b-b601-cd5abff038f8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_019fd847-5885-75e1-a7fc-a6fd88316f60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_019fd847-5885-75e1-a7fc-a6fd88316f60" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_01a163e3-b4a2-7f1b-9bd5-3aec688f6bae" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_01a163e3-b4a2-7f1b-9bd5-3aec688f6bae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_PaymentsForCapitalCallForEquityInvestment_019fd847-5885-7f07-9b1f-e2a69fec0a26" xlink:href="fsbc-20260930.xsd#fsbc_PaymentsForCapitalCallForEquityInvestment"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_fsbc_PaymentsForCapitalCallForEquityInvestment_019fd847-5885-7f07-9b1f-e2a69fec0a26" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfEquityMethodInvestments_019fd847-5885-7ca2-a66d-00f04e6b923d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleOfEquityMethodInvestments"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_ProceedsFromSaleOfEquityMethodInvestments_019fd847-5885-7ca2-a66d-00f04e6b923d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_ProceedsFromPaymentsForLowIncomeHousingCredits_019fd847-5885-788e-97fb-0454b7f9577b" xlink:href="fsbc-20260930.xsd#fsbc_ProceedsFromPaymentsForLowIncomeHousingCredits"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_fsbc_ProceedsFromPaymentsForLowIncomeHousingCredits_019fd847-5885-788e-97fb-0454b7f9577b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForInInterestBearingDepositsInBanks_019fd847-5885-7ece-b972-ce37a8921977" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromPaymentsForInInterestBearingDepositsInBanks"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_ProceedsFromPaymentsForInInterestBearingDepositsInBanks_019fd847-5885-7ece-b972-ce37a8921977" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_PaymentsForOriginationOfLoansNetOfProceedsFromRepayments_019fd847-5885-72ef-9f3b-0870ec4c130d" xlink:href="fsbc-20260930.xsd#fsbc_PaymentsForOriginationOfLoansNetOfProceedsFromRepayments"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_fsbc_PaymentsForOriginationOfLoansNetOfProceedsFromRepayments_019fd847-5885-72ef-9f3b-0870ec4c130d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_019fd847-5885-7898-a352-0e1f22a8c00d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_019fd847-5885-7898-a352-0e1f22a8c00d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireLifeInsurancePolicies_019fd847-5885-70a3-b106-2e741899a1c2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireLifeInsurancePolicies"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_PaymentsToAcquireLifeInsurancePolicies_019fd847-5885-70a3-b106-2e741899a1c2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfOtherRealEstate_019fd847-5885-74e6-9d7d-9fb554ea0184" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleOfOtherRealEstate"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019fd847-5885-7e40-9e94-4e0a5630a19c" xlink:to="loc_us-gaap_ProceedsFromSaleOfOtherRealEstate_019fd847-5885-74e6-9d7d-9fb554ea0184" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019fd847-5885-7b7b-9297-b9f474a56377" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_NetIncomeLoss_019fd847-5885-7b7b-9297-b9f474a56377" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForLoanLeaseAndOtherLosses_019fd847-5885-7099-a2b5-956aa5048922" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProvisionForLoanLeaseAndOtherLosses"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_ProvisionForLoanLeaseAndOtherLosses_019fd847-5885-7099-a2b5-956aa5048922" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_DepreciationDepletionAndAmortizationNonproductionNetting_019fd847-5885-7abe-a58f-44ae6d826f40" xlink:href="fsbc-20260930.xsd#fsbc_DepreciationDepletionAndAmortizationNonproductionNetting"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_fsbc_DepreciationDepletionAndAmortizationNonproductionNetting_019fd847-5885-7abe-a58f-44ae6d826f40" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfDeferredLoanOriginationFeesNet_019fd847-5885-7dab-ad52-1ede038c44dc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfDeferredLoanOriginationFeesNet"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_AmortizationOfDeferredLoanOriginationFeesNet_019fd847-5885-7dab-ad52-1ede038c44dc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_019fd847-5885-758e-8e79-efa2a1809169" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_019fd847-5885-758e-8e79-efa2a1809169" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_019fd847-5885-7e51-ad3c-5d16601d89f2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_019fd847-5885-7e51-ad3c-5d16601d89f2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationMethodQualifiedAffordableHousingProjectInvestmentsAmortization_019fd847-5885-7114-a8bb-3e7ed4339630" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationMethodQualifiedAffordableHousingProjectInvestmentsAmortization"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_AmortizationMethodQualifiedAffordableHousingProjectInvestmentsAmortization_019fd847-5885-7114-a8bb-3e7ed4339630" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_019fd847-5885-7d74-bfbe-c548afa56510" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_ShareBasedCompensation_019fd847-5885-7d74-bfbe-c548afa56510" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BankOwnedLifeInsuranceIncome_019fd847-5885-7bcb-a45b-687c586480cb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankOwnedLifeInsuranceIncome"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_BankOwnedLifeInsuranceIncome_019fd847-5885-7bcb-a45b-687c586480cb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_PaymentsForTransferableTaxCredits_019fd847-5885-79ef-abba-35f18cccf5cd" xlink:href="fsbc-20260930.xsd#fsbc_PaymentsForTransferableTaxCredits"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_fsbc_PaymentsForTransferableTaxCredits_019fd847-5885-79ef-abba-35f18cccf5cd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForOriginationAndPurchasesOfLoansHeldForSale_019fd847-5885-7104-a23f-019ad94ef788" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForOriginationAndPurchasesOfLoansHeldForSale"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_PaymentsForOriginationAndPurchasesOfLoansHeldForSale_019fd847-5885-7104-a23f-019ad94ef788" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSalesOfLoansNet_019fd847-5885-7e9f-ac3c-76072c90b905" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainLossOnSalesOfLoansNet"/>
    <link:calculationArc order="12" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_GainLossOnSalesOfLoansNet_019fd847-5885-7e9f-ac3c-76072c90b905" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfLoansHeldForSale_019fd847-5885-7913-9685-97c2dfdf4622" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleOfLoansHeldForSale"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_ProceedsFromSaleOfLoansHeldForSale_019fd847-5885-7913-9685-97c2dfdf4622" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions_019fd847-5885-71fa-b626-49425596dacb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions"/>
    <link:calculationArc order="14" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions_019fd847-5885-71fa-b626-49425596dacb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_019fd847-5885-7c64-8cba-ab85b81bc64a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet"/>
    <link:calculationArc order="15" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_019fd847-5885-7c64-8cba-ab85b81bc64a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInterestPayableNet_019fd847-5885-71d9-893b-5bcc5070b035" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInInterestPayableNet"/>
    <link:calculationArc order="16" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_IncreaseDecreaseInInterestPayableNet_019fd847-5885-71d9-893b-5bcc5070b035" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_019fd847-5885-701b-9de5-c0296068e83f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInOperatingLeaseLiability"/>
    <link:calculationArc order="17" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_019fd847-5885-701b-9de5-c0296068e83f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_019fd847-5885-7c15-b2aa-370265d1c54e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="18" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019fd847-5885-78de-b86b-a0299b0b54b9" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_019fd847-5885-7c15-b2aa-370265d1c54e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019fd847-5885-7bd0-807c-974741600e7f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDeposits_019fd847-5885-798e-b22b-d03c33269308" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDeposits"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019fd847-5885-7bd0-807c-974741600e7f" xlink:to="loc_us-gaap_IncreaseDecreaseInDeposits_019fd847-5885-798e-b22b-d03c33269308" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividends_019fd847-5885-7d79-968d-a6d694aedc79" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfDividends"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019fd847-5885-7bd0-807c-974741600e7f" xlink:to="loc_us-gaap_PaymentsOfDividends_019fd847-5885-7d79-968d-a6d694aedc79" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_01a1302f-3b49-72aa-bcd6-299564b846a7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019fd847-5885-7bd0-807c-974741600e7f" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_01a1302f-3b49-72aa-bcd6-299564b846a7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofSecuritiesHeldtoMaturityDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InvestmentSecuritiesAmortizedCostandFairValueofSecuritiesHeldtoMaturityDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofSecuritiesHeldtoMaturityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5885-753a-beb8-09020314af05" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5885-7ada-b4e9-0354ca308616" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5885-753a-beb8-09020314af05" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5885-7ada-b4e9-0354ca308616" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain_019fd847-5885-71ac-8457-3d1bf6e1dfbc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5885-753a-beb8-09020314af05" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain_019fd847-5885-71ac-8457-3d1bf6e1dfbc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_019fd847-5885-71c3-869f-19dd5778b588" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5885-753a-beb8-09020314af05" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_019fd847-5885-71c3-869f-19dd5778b588" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofSecuritiesAvailableforSaleDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InvestmentSecuritiesAmortizedCostandFairValueofSecuritiesAvailableforSaleDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofSecuritiesAvailableforSaleDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7658-aaca-1f9d518355ba" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_019fd847-5886-7549-951b-f980e5372e98" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7658-aaca-1f9d518355ba" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_019fd847-5886-7549-951b-f980e5372e98" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_019fd847-5886-77f5-b37b-3e49043de3d8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7658-aaca-1f9d518355ba" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_019fd847-5886-77f5-b37b-3e49043de3d8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7331-ba32-2500f169920f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7658-aaca-1f9d518355ba" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7331-ba32-2500f169920f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofInvestmentDebtSecuritiesbyContractualMaturityDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InvestmentSecuritiesAmortizedCostandFairValueofInvestmentDebtSecuritiesbyContractualMaturityDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofInvestmentDebtSecuritiesbyContractualMaturityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7495-807f-a8249aa7c847" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_019fd847-5886-756b-8483-b6b8768104cc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7495-807f-a8249aa7c847" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_019fd847-5886-756b-8483-b6b8768104cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_019fd847-5886-788b-b792-4fa750bcbc12" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7495-807f-a8249aa7c847" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_019fd847-5886-788b-b792-4fa750bcbc12" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_019fd847-5886-78e1-9bc2-151e90165481" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7495-807f-a8249aa7c847" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_019fd847-5886-78e1-9bc2-151e90165481" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_019fd847-5886-75a4-aca0-460a9a5cb8bf" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7495-807f-a8249aa7c847" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_019fd847-5886-75a4-aca0-460a9a5cb8bf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_019fd847-5886-7804-be35-952e71f6ae98" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019fd847-5886-7495-807f-a8249aa7c847" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_019fd847-5886-7804-be35-952e71f6ae98" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7aa7-9de7-eb782403e991" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_019fd847-5886-704a-9935-ad433c2f6c93" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7aa7-9de7-eb782403e991" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_019fd847-5886-704a-9935-ad433c2f6c93" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_019fd847-5886-7be0-a4d8-56459f1b7c89" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7aa7-9de7-eb782403e991" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_019fd847-5886-7be0-a4d8-56459f1b7c89" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019fd847-5886-7c2e-a879-cb09a7f9d172" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7aa7-9de7-eb782403e991" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019fd847-5886-7c2e-a879-cb09a7f9d172" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_019fd847-5886-749a-a060-53f8da2627f8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7aa7-9de7-eb782403e991" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_019fd847-5886-749a-a060-53f8da2627f8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_019fd847-5886-766e-b05a-49dd260e11aa" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019fd847-5886-7aa7-9de7-eb782403e991" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_019fd847-5886-766e-b05a-49dd260e11aa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5886-7803-89a5-c0219543e3f2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_019fd847-5886-7d9d-bea7-c304cec95ab3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5886-7803-89a5-c0219543e3f2" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_019fd847-5886-7d9d-bea7-c304cec95ab3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_019fd847-5886-7c56-960f-64e228fe1c27" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5886-7803-89a5-c0219543e3f2" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_019fd847-5886-7c56-960f-64e228fe1c27" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount_019fd847-5886-7d13-afb0-d5f7d97f9cf2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5886-7803-89a5-c0219543e3f2" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount_019fd847-5886-7d13-afb0-d5f7d97f9cf2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount_019fd847-5886-72cb-8e3b-62e23db068f1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5886-7803-89a5-c0219543e3f2" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount_019fd847-5886-72cb-8e3b-62e23db068f1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount_019fd847-5886-7504-a9c3-0e8fb45b207b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_019fd847-5886-7803-89a5-c0219543e3f2" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount_019fd847-5886-7504-a9c3-0e8fb45b207b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5886-713d-951d-74b3f9a4f8a3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_019fd847-5886-7862-a16d-a1be3a6569ab" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5886-713d-951d-74b3f9a4f8a3" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_019fd847-5886-7862-a16d-a1be3a6569ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_019fd847-5886-7747-ba59-1912f1687635" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5886-713d-951d-74b3f9a4f8a3" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_019fd847-5886-7747-ba59-1912f1687635" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019fd847-5886-78c7-9b89-3bc5cf37c12e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5886-713d-951d-74b3f9a4f8a3" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019fd847-5886-78c7-9b89-3bc5cf37c12e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_019fd847-5886-7628-856c-88e001f5c71a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5886-713d-951d-74b3f9a4f8a3" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_019fd847-5886-7628-856c-88e001f5c71a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_019fd847-5886-7bdc-ad86-00657be887f7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019fd847-5886-713d-951d-74b3f9a4f8a3" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_019fd847-5886-7bdc-ad86-00657be887f7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InvestmentSecuritiesAvailableforSaleSecuritiesinaContinuousUnrealizedLossPositionDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InvestmentSecuritiesAvailableforSaleSecuritiesinaContinuousUnrealizedLossPositionDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InvestmentSecuritiesAvailableforSaleSecuritiesinaContinuousUnrealizedLossPositionDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_019fd847-5886-7484-aa15-67472b7261f7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_019fd847-5886-7583-921e-f32d24cb7548" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_019fd847-5886-7484-aa15-67472b7261f7" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_019fd847-5886-7583-921e-f32d24cb7548" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_019fd847-5886-7a71-897d-430bc8699a60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_019fd847-5886-7484-aa15-67472b7261f7" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_019fd847-5886-7a71-897d-430bc8699a60" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValue_019fd847-5886-7c42-b9d5-b1854a4f3c47" xlink:href="fsbc-20260930.xsd#fsbc_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_019fd847-5886-7e1e-acec-18c8fbaf54c8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_fsbc_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValue_019fd847-5886-7c42-b9d5-b1854a4f3c47" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_019fd847-5886-7e1e-acec-18c8fbaf54c8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerFairValue_019fd847-5886-70c7-a5b1-4bcb0027bd95" xlink:href="fsbc-20260930.xsd#fsbc_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_fsbc_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValue_019fd847-5886-7c42-b9d5-b1854a4f3c47" xlink:to="loc_fsbc_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerFairValue_019fd847-5886-70c7-a5b1-4bcb0027bd95" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/LoansandAllowanceforCreditLossesBalanceofEachMajorProductTypeDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#LoansandAllowanceforCreditLossesBalanceofEachMajorProductTypeDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/LoansandAllowanceforCreditLossesBalanceofEachMajorProductTypeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableGross_019fd847-5886-7f22-b7e3-2be284eed3a6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableUnamortizedLoanCommitmentOriginationFeeAndPremiumDiscount_019fd847-5886-79b1-83f1-ad8b35049609" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableUnamortizedLoanCommitmentOriginationFeeAndPremiumDiscount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-7f22-b7e3-2be284eed3a6" xlink:to="loc_us-gaap_FinancingReceivableUnamortizedLoanCommitmentOriginationFeeAndPremiumDiscount_019fd847-5886-79b1-83f1-ad8b35049609" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableBeforeAllowanceForCreditLossAndFee_019fd847-5886-71eb-83fd-bb8dd6d9be5c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableBeforeAllowanceForCreditLossAndFee"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-7f22-b7e3-2be284eed3a6" xlink:to="loc_us-gaap_FinancingReceivableBeforeAllowanceForCreditLossAndFee_019fd847-5886-71eb-83fd-bb8dd6d9be5c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/LoansandAllowanceforCreditLossesCreditQualityIndicatorsRelatedtotheCompanysLoansbyClassDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#LoansandAllowanceforCreditLossesCreditQualityIndicatorsRelatedtotheCompanysLoansbyClassDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/LoansandAllowanceforCreditLossesCreditQualityIndicatorsRelatedtotheCompanysLoansbyClassDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear_019fd847-5886-7662-8690-9ff5b9d7d076" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear_019fd847-5886-7662-8690-9ff5b9d7d076" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableRevolving_019fd847-5886-7ccd-8756-d74ea63fc72d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolving"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableRevolving_019fd847-5886-7ccd-8756-d74ea63fc72d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear_019fd847-5886-7745-91a7-d1cf0fc52308" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear_019fd847-5886-7745-91a7-d1cf0fc52308" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableRevolvingConvertedToTermLoan_019fd847-5886-7b2f-a95a-59ac5b5efee2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolvingConvertedToTermLoan"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableRevolvingConvertedToTermLoan_019fd847-5886-7b2f-a95a-59ac5b5efee2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear_019fd847-5886-7322-b2ed-deb82d5fa1a6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear_019fd847-5886-7322-b2ed-deb82d5fa1a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear_019fd847-5886-73b5-b1fd-c405ddd14c8f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear_019fd847-5886-73b5-b1fd-c405ddd14c8f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_019fd847-5886-713f-81a2-1292808934c7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_019fd847-5886-713f-81a2-1292808934c7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_019fd847-5886-770c-bce7-6a484f1bc47e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NotesReceivableGross_019fd847-5886-72fc-a717-454e9291532a" xlink:to="loc_us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_019fd847-5886-770c-bce7-6a484f1bc47e" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/LoansandAllowanceforCreditLossesGrossChargeoffsbyOriginationYearandClassDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#LoansandAllowanceforCreditLossesGrossChargeoffsbyOriginationYearandClassDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/LoansandAllowanceforCreditLossesGrossChargeoffsbyOriginationYearandClassDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableYearOneOriginatedCurrentFiscalYearWriteoff_019fd847-5886-7441-9468-d1894e76a141" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearOneOriginatedCurrentFiscalYearWriteoff"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableYearOneOriginatedCurrentFiscalYearWriteoff_019fd847-5886-7441-9468-d1894e76a141" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableYearTwoOriginatedFiscalYearBeforeCurrentFiscalYearWriteoff_019fd847-5886-7736-90db-379ac68d8bbd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearTwoOriginatedFiscalYearBeforeCurrentFiscalYearWriteoff"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableYearTwoOriginatedFiscalYearBeforeCurrentFiscalYearWriteoff_019fd847-5886-7736-90db-379ac68d8bbd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableYearThreeOriginatedTwoYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-7fe4-a627-329a068a3342" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearThreeOriginatedTwoYearsBeforeCurrentFiscalYearWriteoff"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableYearThreeOriginatedTwoYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-7fe4-a627-329a068a3342" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableYearFourOriginatedThreeYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-79a8-8903-2a4e9a6034da" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearFourOriginatedThreeYearsBeforeCurrentFiscalYearWriteoff"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableYearFourOriginatedThreeYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-79a8-8903-2a4e9a6034da" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableYearFiveOriginatedFourYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-71b4-b7cb-10a8fedd9420" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearFiveOriginatedFourYearsBeforeCurrentFiscalYearWriteoff"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableYearFiveOriginatedFourYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-71b4-b7cb-10a8fedd9420" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-77d5-9c73-b43ecf6f1120" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff_019fd847-5886-77d5-9c73-b43ecf6f1120" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableRevolvingWriteoff_019fd847-5886-73b0-8622-c39d01607be1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolvingWriteoff"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableRevolvingWriteoff_019fd847-5886-73b0-8622-c39d01607be1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff_019fd847-5886-7f17-8fe0-d264ab99bf7c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_019fd847-5886-74f2-96ab-94a904a087f0" xlink:to="loc_us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff_019fd847-5886-7f17-8fe0-d264ab99bf7c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InterestBearingDepositsInterestBearingDepositsDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InterestBearingDepositsInterestBearingDepositsDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InterestBearingDepositsInterestBearingDepositsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5886-7338-a6c3-5134aa255325" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDepositLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDomesticDepositSavings_019fd847-5886-7968-a182-07f5c128c289" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositSavings"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5886-7338-a6c3-5134aa255325" xlink:to="loc_us-gaap_InterestBearingDomesticDepositSavings_019fd847-5886-7968-a182-07f5c128c289" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDomesticDepositMoneyMarket_019fd847-5886-77ea-8232-9323272c54e9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositMoneyMarket"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5886-7338-a6c3-5134aa255325" xlink:to="loc_us-gaap_InterestBearingDomesticDepositMoneyMarket_019fd847-5886-77ea-8232-9323272c54e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDomesticDepositChecking_019fd847-5886-7813-b098-73399b669bf8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositChecking"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5886-7338-a6c3-5134aa255325" xlink:to="loc_us-gaap_InterestBearingDomesticDepositChecking_019fd847-5886-7813-b098-73399b669bf8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_InterestBearingDomesticDepositTimeDeposits250000OrMore_019fd847-5886-759d-bb1a-e5b6d8ed7880" xlink:href="fsbc-20260930.xsd#fsbc_InterestBearingDomesticDepositTimeDeposits250000OrMore"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5886-7338-a6c3-5134aa255325" xlink:to="loc_fsbc_InterestBearingDomesticDepositTimeDeposits250000OrMore_019fd847-5886-759d-bb1a-e5b6d8ed7880" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDomesticDepositOtherTimeDeposit_019fd847-5886-7f4b-9726-faf0685a9857" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositOtherTimeDeposit"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDepositLiabilities_019fd847-5886-7338-a6c3-5134aa255325" xlink:to="loc_us-gaap_InterestBearingDomesticDepositOtherTimeDeposit_019fd847-5886-7f4b-9726-faf0685a9857" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InterestBearingDepositsMaturitiesofTimeDepositsDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InterestBearingDepositsMaturitiesofTimeDepositsDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InterestBearingDepositsMaturitiesofTimeDepositsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDomesticDepositTimeDeposits_019fd847-5886-7d63-a3ec-71864176256d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositTimeDeposits"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TimeDepositMaturitiesRemainderOfFiscalYear_019fd847-5886-7d8e-a6aa-6e397e03ab74" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDomesticDepositTimeDeposits_019fd847-5886-7d63-a3ec-71864176256d" xlink:to="loc_us-gaap_TimeDepositMaturitiesRemainderOfFiscalYear_019fd847-5886-7d8e-a6aa-6e397e03ab74" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TimeDepositMaturitiesYearOne_019fd847-5886-7fb3-8c07-8673ad6a3c60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearOne"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDomesticDepositTimeDeposits_019fd847-5886-7d63-a3ec-71864176256d" xlink:to="loc_us-gaap_TimeDepositMaturitiesYearOne_019fd847-5886-7fb3-8c07-8673ad6a3c60" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TimeDepositMaturitiesYearThree_019fd847-5886-7ef6-a57f-b0febfb21de5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDomesticDepositTimeDeposits_019fd847-5886-7d63-a3ec-71864176256d" xlink:to="loc_us-gaap_TimeDepositMaturitiesYearThree_019fd847-5886-7ef6-a57f-b0febfb21de5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TimeDepositMaturitiesYearFour_019fd847-5886-72ed-b18b-a6bf6989f556" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearFour"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDomesticDepositTimeDeposits_019fd847-5886-7d63-a3ec-71864176256d" xlink:to="loc_us-gaap_TimeDepositMaturitiesYearFour_019fd847-5886-72ed-b18b-a6bf6989f556" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TimeDepositMaturitiesYearTwo_019fd847-5886-75b1-b495-a873b6e69cdb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearTwo"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestBearingDomesticDepositTimeDeposits_019fd847-5886-7d63-a3ec-71864176256d" xlink:to="loc_us-gaap_TimeDepositMaturitiesYearTwo_019fd847-5886-75b1-b495-a873b6e69cdb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/InterestBearingDepositsInterestExpenseRecognizedonInterestBearingDepositsDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#InterestBearingDepositsInterestExpenseRecognizedonInterestBearingDepositsDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/InterestBearingDepositsInterestExpenseRecognizedonInterestBearingDepositsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDeposits_019fd847-5886-78f8-8423-ae950ad67df1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDeposits"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesSavings_019fd847-5886-7528-b947-2e34c5d0117d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDomesticDepositLiabilitiesSavings"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseDeposits_019fd847-5886-78f8-8423-ae950ad67df1" xlink:to="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesSavings_019fd847-5886-7528-b947-2e34c5d0117d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesMoneyMarket_019fd847-5886-7b8b-adc2-a14fb0e57be2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDomesticDepositLiabilitiesMoneyMarket"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseDeposits_019fd847-5886-78f8-8423-ae950ad67df1" xlink:to="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesMoneyMarket_019fd847-5886-7b8b-adc2-a14fb0e57be2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesChecking_019fd847-5886-7762-9a43-d88eb965d821" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDomesticDepositLiabilitiesChecking"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseDeposits_019fd847-5886-78f8-8423-ae950ad67df1" xlink:to="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesChecking_019fd847-5886-7762-9a43-d88eb965d821" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_fsbc_InterestExpenseDomesticDepositLiabilitiesTimeDeposit250000OrMore_019fd847-5886-74ab-bf47-98a89bcc1f9b" xlink:href="fsbc-20260930.xsd#fsbc_InterestExpenseDomesticDepositLiabilitiesTimeDeposit250000OrMore"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseDeposits_019fd847-5886-78f8-8423-ae950ad67df1" xlink:to="loc_fsbc_InterestExpenseDomesticDepositLiabilitiesTimeDeposit250000OrMore_019fd847-5886-74ab-bf47-98a89bcc1f9b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesOtherTimeDeposit_019fd847-5886-7560-94f4-7d541a36f8c5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDomesticDepositLiabilitiesOtherTimeDeposit"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpenseDeposits_019fd847-5886-78f8-8423-ae950ad67df1" xlink:to="loc_us-gaap_InterestExpenseDomesticDepositLiabilitiesOtherTimeDeposit_019fd847-5886-7560-94f4-7d541a36f8c5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://fivestarbank.com/role/ShareholdersEquityEarningsPerShareDetails" xlink:type="simple" xlink:href="fsbc-20260930.xsd#ShareholdersEquityEarningsPerShareDetails"/>
  <link:calculationLink xlink:role="http://fivestarbank.com/role/ShareholdersEquityEarningsPerShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019fd847-5917-72e8-8ddf-569c6befc098" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_019fd847-5917-7776-b156-08bf2fc96784" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019fd847-5917-72e8-8ddf-569c6befc098" xlink:to="loc_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_019fd847-5917-7776-b156-08bf2fc96784" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019fd847-5917-773c-8931-cf8a1a06c807" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019fd847-5917-72e8-8ddf-569c6befc098" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019fd847-5917-773c-8931-cf8a1a06c807" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
