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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019ed0a7-7ac6-751f-ae2f-b5ff2cfc07b8,g:5a747f70-559d-44f1-a55a-acb80302a9d1-->
<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://providentfinancial.com/role/StatementsofNetAssetsAvailableforBenefits" xlink:type="simple" xlink:href="pfs-20260629.xsd#StatementsofNetAssetsAvailableforBenefits"/>
  <link:calculationLink xlink:role="http://providentfinancial.com/role/StatementsofNetAssetsAvailableforBenefits" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_019ed0a7-7ac7-7a17-9d95-a0188082afa1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_019ed0a7-7ac7-7839-aa1a-7a7a687d0e1e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_019ed0a7-7ac7-7a17-9d95-a0188082afa1" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_019ed0a7-7ac7-7839-aa1a-7a7a687d0e1e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustContractValue_019ed0a7-7ac7-726b-9b55-39e68abee260" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustContractValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_019ed0a7-7ac7-7a17-9d95-a0188082afa1" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustContractValue_019ed0a7-7ac7-726b-9b55-39e68abee260" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant_019ed0a7-7ac7-715f-825e-0a75d38e4178" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_019ed0a7-7ac7-7a17-9d95-a0188082afa1" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant_019ed0a7-7ac7-715f-825e-0a75d38e4178" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionReceivable_019ed0a7-7ac7-7525-b1da-0be48ab6a9e9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanEmployerContributionReceivable"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_019ed0a7-7ac7-7a17-9d95-a0188082afa1" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionReceivable_019ed0a7-7ac7-7525-b1da-0be48ab6a9e9" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://providentfinancial.com/role/StatementsofChangesinNetAssetsAvailableforBenefits" xlink:type="simple" xlink:href="pfs-20260629.xsd#StatementsofChangesinNetAssetsAvailableforBenefits"/>
  <link:calculationLink xlink:role="http://providentfinancial.com/role/StatementsofChangesinNetAssetsAvailableforBenefits" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_019ed0a7-7ac7-7f1d-a543-ac01aba76c51" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_019ed0a7-7ac7-7d6b-acd8-92d83eef5c79" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_019ed0a7-7ac7-7f1d-a543-ac01aba76c51" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_019ed0a7-7ac7-7d6b-acd8-92d83eef5c79" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForDividendIncomeOnInvestment_019ed0a7-7ac7-7273-bf79-b9c0185890ef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForDividendIncomeOnInvestment"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_019ed0a7-7ac7-7f1d-a543-ac01aba76c51" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForDividendIncomeOnInvestment_019ed0a7-7ac7-7273-bf79-b9c0185890ef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnInvestment_019ed0a7-7ac7-761c-a4e9-f2e7359c7ae9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnInvestment"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_019ed0a7-7ac7-7f1d-a543-ac01aba76c51" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnInvestment_019ed0a7-7ac7-761c-a4e9-f2e7359c7ae9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_019ed0a7-7ac7-782b-bb58-cec3e5370798" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_019ed0a7-7ac7-7167-8f81-7428818d6910" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_019ed0a7-7ac7-782b-bb58-cec3e5370798" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_019ed0a7-7ac7-7167-8f81-7428818d6910" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant_019ed0a7-7ac7-7755-80bf-9eefeb54220b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_019ed0a7-7ac7-782b-bb58-cec3e5370798" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant_019ed0a7-7ac7-7755-80bf-9eefeb54220b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_019ed0a7-7ac7-7c06-b0c0-57cbe5fbdb6d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_019ed0a7-7ac7-782b-bb58-cec3e5370798" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_019ed0a7-7ac7-7c06-b0c0-57cbe5fbdb6d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers_019ed0a7-7ac7-763a-a136-f6f347cfd02e" xlink:href="pfs-20260629.xsd#pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_019ed0a7-7ac7-7a0f-bb21-132ed3cbc1b3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers_019ed0a7-7ac7-763a-a136-f6f347cfd02e" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_019ed0a7-7ac7-7a0f-bb21-132ed3cbc1b3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_019ed0a7-7ac7-7364-8444-6929642d8d20" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers_019ed0a7-7ac7-763a-a136-f6f347cfd02e" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_019ed0a7-7ac7-7364-8444-6929642d8d20" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_019ed0a7-7ac7-7ae3-8dc8-816dec11a1ae" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionExcludingRollover_019ed0a7-7ac7-777d-80df-9df15eab6bce" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionExcludingRollover"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_019ed0a7-7ac7-7ae3-8dc8-816dec11a1ae" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionExcludingRollover_019ed0a7-7ac7-777d-80df-9df15eab6bce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContributionCash_019ed0a7-7ac7-79c9-925d-50a63b49edf5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContributionCash"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_019ed0a7-7ac7-7ae3-8dc8-816dec11a1ae" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContributionCash_019ed0a7-7ac7-79c9-925d-50a63b49edf5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionRollover_019ed0a7-7ac7-7000-8782-74528c0c0dcc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionRollover"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_019ed0a7-7ac7-7ae3-8dc8-816dec11a1ae" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionRollover_019ed0a7-7ac7-7000-8782-74528c0c0dcc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_019ed0a7-7ac7-7854-a847-04d2dde1a9a7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease"/>
    <link:loc xlink:type="locator" xlink:label="loc_pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers_019ed0a7-7ac7-71ed-952b-80f6806940de" xlink:href="pfs-20260629.xsd#pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_019ed0a7-7ac7-7854-a847-04d2dde1a9a7" xlink:to="loc_pfs_EBPChangeInNetAssetAvailableForBenefitIncreaseDecreaseBeforeTransfers_019ed0a7-7ac7-71ed-952b-80f6806940de" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitTransferToFromFundWithinEsop_019ed0a7-7ac7-77c8-87d3-11f9c3ca2d73" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitTransferToFromFundWithinEsop"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_019ed0a7-7ac7-7854-a847-04d2dde1a9a7" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitTransferToFromFundWithinEsop_019ed0a7-7ac7-77c8-87d3-11f9c3ca2d73" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_pfs_EBPChangeInNetAssetAvailableForBenefitTransferToFromFundWithinESOPMerger_019ef494-63db-7c36-bf07-a0420af992d7" xlink:href="pfs-20260629.xsd#pfs_EBPChangeInNetAssetAvailableForBenefitTransferToFromFundWithinESOPMerger"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_019ed0a7-7ac7-7854-a847-04d2dde1a9a7" xlink:to="loc_pfs_EBPChangeInNetAssetAvailableForBenefitTransferToFromFundWithinESOPMerger_019ef494-63db-7c36-bf07-a0420af992d7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitTransferToFromExternalPlan_019ef494-63dc-70a8-8f2a-983dd861f2c0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitTransferToFromExternalPlan"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_019ed0a7-7ac7-7854-a847-04d2dde1a9a7" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitTransferToFromExternalPlan_019ef494-63dc-70a8-8f2a-983dd861f2c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_019ed0a7-7ac7-7b61-8a21-88f678d68da8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant_019ed0a7-7ac7-7996-a5e8-5d678409526a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_019ed0a7-7ac7-7b61-8a21-88f678d68da8" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant_019ed0a7-7ac7-7996-a5e8-5d678409526a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_pfs_EBPChangeInNetAssetAvailableForBenefitDecreaseInCorrectiveDistributions_019ed0a7-7ac7-7ed3-aa60-91da08784207" xlink:href="pfs-20260629.xsd#pfs_EBPChangeInNetAssetAvailableForBenefitDecreaseInCorrectiveDistributions"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_019ed0a7-7ac7-7b61-8a21-88f678d68da8" xlink:to="loc_pfs_EBPChangeInNetAssetAvailableForBenefitDecreaseInCorrectiveDistributions_019ed0a7-7ac7-7ed3-aa60-91da08784207" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense_019ed0a7-7ac7-7597-96c8-6825fddc390f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/ebp/elts/us-gaap-ebp-2026.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_019ed0a7-7ac7-7b61-8a21-88f678d68da8" xlink:to="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense_019ed0a7-7ac7-7597-96c8-6825fddc390f" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
