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Income Taxes - Additional Information (Detail) $ in Thousands, BitCoinUnits in Millions |  |  | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | --- | --- | ---
May 30, 2025 USD ($) | Apr. 24, 2024 USD ($) BitCoinUnits | Sep. 30, 2025 USD ($) | Sep. 30, 2024 USD ($) | Sep. 30, 2025 USD ($) | Sep. 30, 2024 USD ($) | Dec. 31, 2023 USD ($) | Sep. 30, 2023 USD ($)
Income tax (expense) |  |  | $ (3,042) | $ (347) | $ (5,656) | $ (479) |  |
Uncertain tax position |  |  | 1,300 |  | 1,300 |  |  |
Effective income tax expense, change in enacted tax rate, amount |  |  |  |  | 1,500 |  |  |
BT Hold Co LLC [Member] |  |  |  |  |  |  |  |
Income tax (expense) |  |  |  |  | $ (5,600) | $ (500) |  |
Effective income tax rate reconciliation, percent |  |  |  |  | (15.79%) | (16.52%) |  |
Net income (loss) before tax attributable to non controlling interest |  |  |  |  | $ 200 | $ 900 |  |
Tax Receivable Agreement [Member] |  |  |  |  |  |  |  |
Tax receivable agreement liability |  |  |  |  |  |  | $ 900 | $ 700
Tax receivable agreement liability additional adjustment |  | $ 1,300 |  |  |  |  | $ 200 |
Percentage of aggregate tax benefits |  | 85.00% |  |  |  |  |  |
Tax Receivable Agreement [Member] | BT Hold Co LLC [Member] |  |  |  |  |  |  |  |
Tax savings percentage distributable |  |  |  |  | 85.00% |  |  |
Payable as per tax receivable agreement |  |  | $ 2,200 |  | $ 2,200 |  |  |
Aggregate number of units in connection with exchange | BitCoinUnits |  | 2.9 |  |  |  |  |  |
Tax Receivable Agreement [Member] | BT Assets [Member] |  |  |  |  |  |  |  |
Cash payments for termination of agreement | $ 8,400 |  |  |  | $ 9,100 |  |  |

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