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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