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Stock-Based Compensation - Expense (Details) - USD ($)
3 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Stock-Based Compensation    
Stock-based compensation expense $ 881,150 $ 3,672,420
Research and development    
Stock-Based Compensation    
Stock-based compensation expense 97,818 110,029
General and administrative    
Stock-Based Compensation    
Stock-based compensation expense $ 783,332 $ 3,562,391