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    <periodOfReport>2023-04-06</periodOfReport>

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    <issuer>
        <issuerCik>0001776909</issuerCik>
        <issuerName>CuriosityStream Inc.</issuerName>
        <issuerTradingSymbol>CURI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001259263</rptOwnerCik>
            <rptOwnerName>HENDRICKS JOHN S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>8484 GEORGIA AVE., SUITE 700</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SILVER SPRING</rptOwnerCity>
            <rptOwnerState>MD</rptOwnerState>
            <rptOwnerZipCode>20910</rptOwnerZipCode>
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        </reportingOwnerAddress>
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    </reportingOwner>

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                <value>Common Stock</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Hendricks Factual Media LLC</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
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    <footnotes>
        <footnote id="F1">The sales reported in this Form 4 were effected pursuant to a Rule 10b5-1 trading plan adopted by the reporting person on December 16, 2022.</footnote>
        <footnote id="F2">The reported securities are owned directly by Hendricks Factual Media LLC (&quot;HFM&quot;), and indirectly by John Hendricks, as a manager of HFM. John Hendricks disclaims beneficial ownership of the reported securities except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/   Tia Cudahy as attorney-in-fact for John Hendricks</signatureName>
        <signatureDate>2023-04-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
