Stock-Based Compensation - Expense (Details) - USD ($)	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023
Share-based Compensation
Stock-based compensation expense	$ 5,385,124	$ 5,547,019
Research and development
Share-based Compensation
Stock-based compensation expense	800,956	986,598
General and administrative
Share-based Compensation
Stock-based compensation expense	$ 4,584,168	$ 4,560,421