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Equity Transactions - Additional Information (Details) - USD ($) |  |  | 1 Months Ended | 3 Months Ended
--- | --- | --- | --- | ---
Jul. 01, 2025 | Apr. 15, 2024 | Aug. 31, 2025 | Sep. 30, 2025 | Sep. 30, 2024
Equity Transactions |  |  |  |  |
Common shares issued as compensation and for services |  |  |  | $ 38,250 | $ 45,750
ATM Offering |  |  |  |  |
Equity Transactions |  |  |  |  |
Aggregate offering price |  | $ 50,000,000 |  |  |
Issuance of shares |  |  |  | 824,535 |
Average price |  |  |  | $ 1.45 |
Net proceeds |  | $ 1,245,000 |  |  |
Warrants |  |  |  |  |
Equity Transactions |  |  |  |  |
Number of fully vested warrants granted to purchase shares of common stock |  |  | 286 |  |
Exercise price (in dollars per share) |  |  | $ 1.79 |  |
Non-cash compensation expense recognized |  |  |  | $ 135 |
Founder, Chairman and President |  |  |  |  |
Equity Transactions |  |  |  |  |
Employment agreement extension term (in years) | 1 year |  |  |  |
Director |  |  |  |  |
Equity Transactions |  |  |  |  |
Number of shares authorized |  |  |  | 7,504 |
Stock-based compensation expense |  |  |  | $ 11,250 |
Consulting services |  |  |  |  |
Equity Transactions |  |  |  |  |
Number of shares authorized |  |  |  | 117,208 |
Stock-based compensation expense |  |  |  | $ 173,850 |
Series A Preferred Stock | Employees |  |  |  |  |
Equity Transactions |  |  |  |  |
Shares granted |  |  |  | 387 |
Series A Preferred Stock | Share-based payment arrangement, nonemployee |  |  |  |  |
Equity Transactions |  |  |  |  |
Common shares issued as compensation and for services |  |  |  | $ 1,619 |
Series A Preferred Stock | Founder, Chairman and President |  |  |  |  |
Equity Transactions |  |  |  |  |
Shares granted | 10,204 |  |  |  |
Number of shares vest on quarterly installments | 2,551 |  |  |  |
Non-cash compensation expense |  |  |  | $ 10,013 |
Balance amount of non-cash compensation expense | $ 30,039 |  |  |  |
Remaining balance of shares vest and service for non-cash compensation expense | 7,653 |  |  |  |

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