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Summary of Significant Accounting Policies - Changes in our Level 3 fair value measurements (Detail) - USD ($) | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | ---
Sep. 30, 2023 | Sep. 30, 2023 | Dec. 31, 2023 | Dec. 31, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Change in fair value | $ (1,859,147) | $ (1,574,658) | $ (8,302,866) | $ (9,914,545)
Level 3 [Member] |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Beginning Balance |  | 58,971,415 | 58,971,415 | 33,701,188
Change in fair value |  |  | 8,302,866 | 9,914,545
Issuance of new instrument |  |  | 7,332,266 | 9,974,094
Issuance of new funding |  |  | 4,633 | 5,381,588
Warrants exercised |  |  | (184,600) |
Debt conversion to equity |  |  | (179,095) |
Ending Balance |  |  | 74,247,485 | 58,971,415
Level 3 [Member] | 37N Note embedded derivative |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Beginning Balance |  |  |  | 0
Change in fair value |  |  | 457,690 | 0
Issuance of new instrument |  |  | 423,696 | 0
Issuance of new funding |  |  | 0 | 0
Warrants exercised |  |  | 0 |
Debt conversion to equity |  |  | (179,095) |
Ending Balance |  |  | 702,291 |
Level 3 [Member] | Put option liability |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Beginning Balance |  |  |  | 0
Change in fair value |  |  | 1,121,155 | 0
Issuance of new instrument |  |  | 4,516,007 | 0
Issuance of new funding |  |  | 0 | 0
Warrants exercised |  |  | 0 |
Debt conversion to equity |  |  | 0 |
Ending Balance |  |  | 5,637,162 |
Level 3 [Member] | Litigation Financing |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Beginning Balance |  | 45,368,948 | 45,368,948 | 33,701,188
Change in fair value |  |  | 6,742,066 | 6,286,172
Issuance of new instrument |  |  | 0 | 0
Issuance of new funding |  |  | 4,633 | 5,381,588
Warrants exercised |  |  | 0 |
Debt conversion to equity |  |  | 0 |
Ending Balance |  |  | 52,115,647 | 45,368,948
Level 3 [Member] | Warrant liabilities issued with debt (December 2023 warrants) |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Beginning Balance |  |  |  | 0
Change in fair value |  |  | 0 | 0
Issuance of new instrument |  |  | 2,392,563 | 0
Issuance of new funding |  |  | 0 | 0
Warrants exercised |  |  | 0 |
Debt conversion to equity |  |  | 0 |
Ending Balance |  |  | 2,392,563 |
Level 3 [Member] | Warrant liabilities issued with equity (2022 warrants) |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |
Beginning Balance |  | $ 13,602,467 | 13,602,467 | 0
Change in fair value |  |  | (18,045) | 3,628,373
Issuance of new instrument |  |  | 0 | 9,974,094
Issuance of new funding |  |  | 0 | 0
Warrants exercised |  |  | (184,600) |
Debt conversion to equity |  |  | 0 |
Ending Balance |  |  | $ 13,399,822 | $ 13,602,467

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