<?xml version="1.0" encoding="utf-8"?>
<xbrl
  xmlns="http://www.xbrl.org/2003/instance"
  xmlns:dei="http://xbrl.sec.gov/dei/2025"
  xmlns:ffd="http://xbrl.sec.gov/ffd/2025"
  xmlns:iso4217="http://www.xbrl.org/2003/iso4217"
  xmlns:link="http://www.xbrl.org/2003/linkbase"
  xmlns:xbrldi="http://xbrl.org/2006/xbrldi"
  xmlns:xlink="http://www.w3.org/1999/xlink"
  xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
    <link:schemaRef
      xlink:href="https://xbrl.sec.gov/ffd/2025/ffd-2025.xsd"
      xlink:type="simple"/>
    <context id="c_offering_1">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0002070542</identifier>
            <segment>
                <xbrldi:typedMember dimension="ffd:OfferingAxis">
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                </xbrldi:typedMember>
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        <period>
            <startDate>2026-05-29</startDate>
            <endDate>2026-05-29</endDate>
        </period>
    </context>
    <context id="c_offering_2">
        <entity>
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                <xbrldi:typedMember dimension="ffd:OfferingAxis">
                    <dei:lineNo>2</dei:lineNo>
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        <period>
            <startDate>2026-05-29</startDate>
            <endDate>2026-05-29</endDate>
        </period>
    </context>
    <context id="c_offering_3">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0002070542</identifier>
            <segment>
                <xbrldi:typedMember dimension="ffd:OfferingAxis">
                    <dei:lineNo>3</dei:lineNo>
                </xbrldi:typedMember>
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        </entity>
        <period>
            <startDate>2026-05-29</startDate>
            <endDate>2026-05-29</endDate>
        </period>
    </context>
    <context id="c_offering_4">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0002070542</identifier>
            <segment>
                <xbrldi:typedMember dimension="ffd:OfferingAxis">
                    <dei:lineNo>4</dei:lineNo>
                </xbrldi:typedMember>
            </segment>
        </entity>
        <period>
            <startDate>2026-05-29</startDate>
            <endDate>2026-05-29</endDate>
        </period>
    </context>
    <context id="c_offering_5">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0002070542</identifier>
            <segment>
                <xbrldi:typedMember dimension="ffd:OfferingAxis">
                    <dei:lineNo>5</dei:lineNo>
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        </entity>
        <period>
            <startDate>2026-05-29</startDate>
            <endDate>2026-05-29</endDate>
        </period>
    </context>
    <context id="c_report">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0002070542</identifier>
        </entity>
        <period>
            <startDate>2026-05-29</startDate>
            <endDate>2026-05-29</endDate>
        </period>
    </context>
    <unit id="USD">
        <measure>iso4217:USD</measure>
    </unit>
    <unit id="pure">
        <measure>pure</measure>
    </unit>
    <ffd:SubmissnTp contextRef="c_report" id="fee_001">S-1</ffd:SubmissnTp>
    <ffd:FeeExhibitTp contextRef="c_report" id="fee_002">EX-FILING FEES</ffd:FeeExhibitTp>
    <dei:EntityCentralIndexKey contextRef="c_report" id="fee_003">0002070542</dei:EntityCentralIndexKey>
    <ffd:OfferingTableNa contextRef="c_report" id="fee_004" xsi:nil="true"/>
    <ffd:OffsetTableNa contextRef="c_report" id="fee_005">N/A</ffd:OffsetTableNa>
    <ffd:CombinedProspectusTableNa contextRef="c_report" id="fee_006">N/A</ffd:CombinedProspectusTableNa>
    <ffd:FormTp contextRef="c_report" id="fee_007">S-1</ffd:FormTp>
    <dei:EntityRegistrantName contextRef="c_report" id="fee_008">BlockchAIn Digital Infrastructure, Inc.</dei:EntityRegistrantName>
    <ffd:PrevslyPdFlg contextRef="c_offering_1" id="fee_009">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_1" id="fee_010">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_1" id="fee_011">Common stock, par value $0.0001 per share</ffd:OfferingSctyTitl>
    <ffd:Rule457oFlg contextRef="c_offering_1" id="fee_012">true</ffd:Rule457oFlg>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_013"
      unitRef="USD">69000000.00</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_014"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_015"
      unitRef="USD">9528.90</ffd:FeeAmt>
    <ffd:PrevslyPdFlg contextRef="c_offering_2" id="fee_016">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_2" id="fee_017">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_2" id="fee_018">Pre-funded warrants</ffd:OfferingSctyTitl>
    <ffd:Rule457oFlg contextRef="c_offering_2" id="fee_019">true</ffd:Rule457oFlg>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_020"
      unitRef="USD">0.00</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_021"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_022"
      unitRef="USD">0.00</ffd:FeeAmt>
    <ffd:PrevslyPdFlg contextRef="c_offering_3" id="fee_023">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_3" id="fee_024">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_3" id="fee_025">Shares of common stock issuable upon exercise of pre-funded warrants</ffd:OfferingSctyTitl>
    <ffd:Rule457oFlg contextRef="c_offering_3" id="fee_026">true</ffd:Rule457oFlg>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_3"
      decimals="INF"
      id="fee_027"
      unitRef="USD">0.00</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_3"
      decimals="INF"
      id="fee_028"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_3"
      decimals="INF"
      id="fee_029"
      unitRef="USD">0.00</ffd:FeeAmt>
    <ffd:PrevslyPdFlg contextRef="c_offering_4" id="fee_030">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_4" id="fee_031">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_4" id="fee_032">Representative's Warrants</ffd:OfferingSctyTitl>
    <ffd:Rule457oFlg contextRef="c_offering_4" id="fee_033">true</ffd:Rule457oFlg>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_4"
      decimals="INF"
      id="fee_034"
      unitRef="USD">0.00</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_4"
      decimals="INF"
      id="fee_035"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_4"
      decimals="INF"
      id="fee_036"
      unitRef="USD">0.00</ffd:FeeAmt>
    <ffd:PrevslyPdFlg contextRef="c_offering_5" id="fee_037">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_5" id="fee_038">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_5" id="fee_039">Shares of common stock issuable upon exercise of Representative Warrants</ffd:OfferingSctyTitl>
    <ffd:Rule457oFlg contextRef="c_offering_5" id="fee_040">true</ffd:Rule457oFlg>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_5"
      decimals="INF"
      id="fee_041"
      unitRef="USD">3036000.00</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_5"
      decimals="INF"
      id="fee_042"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_5"
      decimals="INF"
      id="fee_043"
      unitRef="USD">419.27</ffd:FeeAmt>
    <ffd:TtlOfferingAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_044"
      unitRef="USD">72036000.00</ffd:TtlOfferingAmt>
    <ffd:TtlFeeAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_045"
      unitRef="USD">9948.17</ffd:TtlFeeAmt>
    <ffd:TtlOffsetAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_046"
      unitRef="USD">0.00</ffd:TtlOffsetAmt>
    <ffd:NetFeeAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_047"
      unitRef="USD">9948.17</ffd:NetFeeAmt>
    <ffd:OfferingNote contextRef="c_offering_1" id="fee_048">Estimated solely for the purpose of calculating the registration fee pursuant Rule 457(o) under the Securities Act of 1933, as amended (the &#x201c;Securities Act&#x201d;).&lt;br/&gt;&lt;br/&gt;Pursuant to Rule 416(a) under the Securities Act, this registration statement shall also cover an indeterminate number of shares that may be issued and resold resulting from stock splits, stock dividends or similar transactions.&lt;br/&gt;&lt;br/&gt;Includes the price of additional shares of common stock that may be issued upon exercise of the option granted to the underwriters to cover over-allotments, if any.&lt;br/&gt;</ffd:OfferingNote>
    <ffd:OfferingNote contextRef="c_offering_2" id="fee_049">Estimated solely for the purpose of calculating the registration fee pursuant Rule 457(o) under the Securities Act of 1933, as amended (the &#x201c;Securities Act&#x201d;).&lt;br/&gt;&lt;br/&gt;Pursuant to Rule 416(a) under the Securities Act, this registration statement shall also cover an indeterminate number of shares that may be issued and resold resulting from stock splits, stock dividends or similar transactions.&lt;br/&gt;&lt;br/&gt;Includes the price of additional shares of common stock that may be issued upon exercise of the option granted to the underwriters to cover over-allotments, if any.&lt;br/&gt;&lt;br/&gt;No fee pursuant to Rule 457(g) of the Securities Act.&lt;br/&gt;&lt;br/&gt;The proposed maximum aggregate offering price of the common stock will be reduced on a dollar-for-dollar basis based on the offering price of any pre-funded warrants issued in the offering, and the proposed maximum aggregate offering price of the pre-funded warrants to be issued in the offering will be reduced on a dollar-for-dollar basis based on the offering price of any common stock issued in the offering. Accordingly, the proposed maximum aggregate offering price of the common stock and pre-funded warrants (including the common stock issuable upon exercise of the pre-funded warrants), if any, is $69,000,000.&lt;br/&gt;</ffd:OfferingNote>
    <ffd:OfferingNote contextRef="c_offering_3" id="fee_050">Estimated solely for the purpose of calculating the registration fee pursuant Rule 457(o) under the Securities Act of 1933, as amended (the &#x201c;Securities Act&#x201d;).&lt;br/&gt;&lt;br/&gt;Pursuant to Rule 416(a) under the Securities Act, this registration statement shall also cover an indeterminate number of shares that may be issued and resold resulting from stock splits, stock dividends or similar transactions.&lt;br/&gt;&lt;br/&gt;Includes the price of additional shares of common stock that may be issued upon exercise of the option granted to the underwriters to cover over-allotments, if any.</ffd:OfferingNote>
    <ffd:OfferingNote contextRef="c_offering_4" id="fee_051">Estimated solely for the purpose of calculating the registration fee pursuant Rule 457(o) under the Securities Act of 1933, as amended (the &#x201c;Securities Act&#x201d;).&lt;br/&gt;&lt;br/&gt;Pursuant to Rule 416(a) under the Securities Act, this registration statement shall also cover an indeterminate number of shares that may be issued and resold resulting from stock splits, stock dividends or similar transactions.&lt;br/&gt;&lt;br/&gt;Includes the price of additional shares of common stock that may be issued upon exercise of the option granted to the underwriters to cover over-allotments, if any.&lt;br/&gt;&lt;br/&gt;No fee pursuant to Rule 457(g) of the Securities Act.&lt;br/&gt;</ffd:OfferingNote>
    <ffd:OfferingNote contextRef="c_offering_5" id="fee_052">Estimated solely for the purpose of calculating the registration fee pursuant Rule 457(o) under the Securities Act of 1933, as amended (the &#x201c;Securities Act&#x201d;).&lt;br/&gt;&lt;br/&gt;Pursuant to Rule 416(a) under the Securities Act, this registration statement shall also cover an indeterminate number of shares that may be issued and resold resulting from stock splits, stock dividends or similar transactions.&lt;br/&gt;&lt;br/&gt;Includes the price of additional shares of common stock that may be issued upon exercise of the option granted to the underwriters to cover over-allotments, if any.&lt;br/&gt;&lt;br/&gt;The registrant has agreed to issue upon the closing of this offering, warrants (the &#x201c;Representative Warrants&#x201d;) to the representative of the underwriters entitling it to purchase up to 4% of the aggregate number of shares of common stock and pre-funded warrants sold in this offering. The exercise price of the Representative Warrants is equal to 110% of the public offering price of the securities offered hereby. As estimated solely for the purpose of calculating the registration fee pursuant to Rule 457(o) under the Securities Act, the proposed maximum aggregate offering price of the Representative Warrants is $3,036,000, which is equal to 110% of $2,760,000 (4% of $69,000,000).&lt;br/&gt;</ffd:OfferingNote>
</xbrl>
