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Stock-Based Compensation - Stock incentive plan and other information (Details) - USD ($) |  |  | 3 Months Ended | 9 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | ---
Sep. 05, 2019 | Nov. 02, 2010 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2024 | Sep. 30, 2023 | Dec. 31, 2022 | Sep. 17, 2020
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Share-based payment award, options, grants in period, gross |  |  | 420 | 0 | 420 | 0 |  |
Share-Based Payment Arrangement, Grantee Status [Extensible Enumeration] |  |  | Share-Based Payment Arrangement, Employee [Member] |  | Share-Based Payment Arrangement, Employee [Member] |  |  |
Aggregate grant date fair value |  |  | $ 1,500 |  | $ 1,500 |  |  |
Unrecognized stock-based compensation expense |  |  | 758,000 |  | 758,000 |  |  |
General and Administrative Expenses and Research and Development Expense | Employees |  |  |  |  |  |  |  |
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Allocated share-based compensation expense |  |  | 123,000 | $ 90,000 | 347,000 | $ 274,000 |  |
Consultant | General and Administrative Expenses and Research and Development Expense |  |  |  |  |  |  |  |
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Allocated share-based compensation expense |  |  | $ 54,000 | $ 45,000 | $ 161,000 | $ 133,000 |  |
2010 Stock Plan |  |  |  |  |  |  |  |
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Share-based payment award, options, outstanding, number |  | 343 | 7,843 |  | 7,843 |  |  |
Share-based payment award, options, issued, number |  |  | 7,843 |  | 7,843 |  |  |
Share-based compensation arrangement by share-based payment award, number of shares authorized | 16,000 |  |  |  |  |  |  |
Shares available |  |  | 0 |  | 0 |  |  |
2010 Stock Plan | Minimum |  |  |  |  |  |  |  |
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Share-based payment award, options, grants, expired period |  | 5 years |  |  |  |  |  |
2010 Stock Plan | Maximum |  |  |  |  |  |  |  |
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Share-based payment award, options, grants, expired period |  | 10 years |  |  |  |  |  |
2020 Stock Plan |  |  |  |  |  |  |  |
Stock-Based Compensation and Warrants |  |  |  |  |  |  |  |
Share-based payment award, options, outstanding, number |  |  | 167,364 |  | 167,364 |  |  | 16,000
Share-based payment award, options, issued, number |  |  | 167,364 |  | 167,364 |  |  |
Share-based compensation arrangement by share-based payment award, number of shares authorized |  |  |  |  |  |  | 280,000 |

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