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Shareholders' Equity and Share-Based Payments (Details) - USD ($) | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Jun. 30, 2022 | Jun. 30, 2021 | Jun. 30, 2022 | Jun. 30, 2021 | Sep. 30, 2021
Share-Based compensation |  |  |  |  |
Common stock, shares authorized | 75,000,000 |  | 75,000,000 |  | 75,000,000
Preferred stock, shares authorized | 10,000,000 |  | 10,000,000 |  | 10,000,000
Share-based compensation expense | $ 58,419 | $ 45,084 | $ 308,599 | $ 295,249 |
2019 Plan |  |  |  |  |
Share-Based compensation |  |  |  |  |
Common stock, shares authorized | 139,691 |  | 139,691 |  |
Share-based compensation expense | $ 58,419 | 45,084 | $ 308,599 | 295,249 |
Number of shares of common stock reserved for awards | 661,722 |  | 661,722 |  |
Unrecognized compensation cost, related to non-vested stock options | $ 28,739 |  | $ 28,739 |  |
2019 Plan | Maximum |  |  |  |  |
Share-Based compensation |  |  |  |  |
Number of shares of common stock reserved for awards | 750,000 |  | 750,000 |  |
2019 Plan | Employee |  |  |  |  |
Share-Based compensation |  |  |  |  |
Share-based compensation expense | $ 45,088 | 45,084 | $ 135,273 | 135,269 |
Number of shares of common stock reserved for awards | 300,000 |  | 300,000 |  |
2019 Plan | Non Employee Director |  |  |  |  |
Share-Based compensation |  |  |  |  |
Share-based compensation expense | $ 13,331 | $ 0 | $ 173,326 | $ 159,980 |

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