<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-06-16</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001819989</issuerCik>
        <issuerName>Cipher Mining Inc.</issuerName>
        <issuerTradingSymbol>CIFR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001884407</rptOwnerCik>
            <rptOwnerName>Bitfury Top HoldCo B.V.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>STRAWINSKYLAAN 3051</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>AMSTERDAM</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode>1077 ZX</rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001887845</rptOwnerCik>
            <rptOwnerName>V3 Holding Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4TH FLOOR HARBOUR PLACE, 103 SOUTH</rptOwnerStreet1>
            <rptOwnerStreet2>CHURCH STREET, PO BOX 10240</rptOwnerStreet2>
            <rptOwnerCity>GEORGE TOWN, GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-1002</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001887853</rptOwnerCik>
            <rptOwnerName>Bitfury Holding B.V.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>STRAWINSKYLAAN 3051</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>AMSTERDAM</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode>NL 1077 ZX</rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001887811</rptOwnerCik>
            <rptOwnerName>Vavilovs Valerijis</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>STRAWINSKYLAAN 3051</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>AMSTERDAM</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode>1077 ZX</rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001887872</rptOwnerCik>
            <rptOwnerName>Bitfury Group Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6TH FLOOR ONE LONDON WALL</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LONDON</rptOwnerCity>
            <rptOwnerState>X0</rptOwnerState>
            <rptOwnerZipCode>EC2Y 5EB</rptOwnerZipCode>
            <rptOwnerStateDescription>UNITED KINGDOM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-06-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1178440</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>1.89</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>201931387</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Reflects the transfer by the reporting persons, through a series of direct and indirect distributions and transfers, of 1,178,440 shares of common stock, par value $0.001 per share, of Cipher Mining Inc. (&quot;Common Stock&quot;), initially held by Bitfury Holding B.V. (&quot;Bitfury Holding&quot;), to unaffiliated transferees, based on a price equal to $1.89 per share of Common Stock, in partial satisfaction of certain debt owed to such transferees.</footnote>
        <footnote id="F2">Bitfury Holding is the record holder of 4,821,560 shares of Common Stock. Bitfury Top HoldCo B.V. (&quot;Bitfury Top HoldCo&quot;) is the record holder of 197,109,827 shares of Common Stock and is the sole owner of Bitfury Holding. As a result, Bitfury Top HoldCo may be deemed to share beneficial ownership of the shares of Common Stock held by Bitfury Holding. Valerijs Vavilovs is the sole owner of V3 Holding Limited (&quot;V3&quot;), which is the majority owner of Bitfury Group Limited (&quot;BGL&quot;). BGL is the sole owner of Bitfury Top HoldCo. As a result of the foregoing relationships, each of Mr. Vavilovs, V3 and BGL may be deemed to share beneficial ownership of the Common Stock beneficially owned by Bitfury Top HoldCo.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Olegs Blinkovs, Managing Director of Bitfury Top HoldCo B.V., By: /s/ Olegs Blinkovs</signatureName>
        <signatureDate>2022-06-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Olegs Blinkovs, Managing Director of Bitfury Holding B.V., By: /s/ Olegs Blinkovs</signatureName>
        <signatureDate>2022-06-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Valerijs Vavilovs, Director of Bitfury Group Limited, By: /s/ Valerijs Vavilovs</signatureName>
        <signatureDate>2022-06-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Valerijs Vavilovs, Director of V3 Holding Limited, By: /s/ Valerijs Vavilovs</signatureName>
        <signatureDate>2022-06-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Valerijs Vavilovs, By: /s/ Valerijs Vavilovs</signatureName>
        <signatureDate>2022-06-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
