Stock-Based Compensation - Expense (Details) - USD ($)	3 Months Ended
	Dec. 31, 2024	Dec. 31, 2023
Share-based Compensation
Stock-based compensation expense	$ 3,672,420	$ 1,272,611
Research and development
Share-based Compensation
Stock-based compensation expense	110,029	231,416
General and administrative
Share-based Compensation
Stock-based compensation expense	$ 3,562,391	$ 1,041,195