Stock-Based Compensation - Option Assumptions (Details) - USD ($)	3 Months Ended
Dec. 31, 2025	Dec. 31, 2024
Stock-Based Compensation
Stock-based compensation expense	$ 881,150	$ 3,672,420
Employee Stock Option
Stock-Based Compensation
Risk-free interest rate	3.70%	3.50%
Expected term (years)	5 years 6 months	5 years 6 months
Expected volatility	132.00%	134.00%
Expected dividend yield	0.00%	0.00%
Unrecognized compensation expense	$ 4,311,636
Unrecognized compensation exercise period	1 year
Performance-based stock options
Stock-Based Compensation
Stock-based compensation expense	$ 0

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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Amount of cost to be recognized for option under share-based payment arrangement.

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The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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The risk-free interest rate assumption that is used in valuing an option on its own shares.

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