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Equity and Stock-Based Compensation - Additional Information (Details) - USD ($) $ in Thousands | 12 Months Ended | 84 Months Ended | 120 Months Ended |  |
--- | --- | --- | --- | --- | ---
Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021 | Dec. 31, 2000 | Dec. 31, 2015 | Dec. 31, 2014 | Nov. 30, 2021 | Apr. 30, 2007
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Stock-based compensation expense | $ 1,272 | $ 543 | $ 401 |  |  |  |  |
Compensation cost on non-vested stock options not yet recognized | $ 1,000 |  |  |  |  |  |  |
Compensation cost, expected weighted-average recognition period | 1 year 6 months 7 days |  |  |  |  |  |  |
Shares available to grant | 558,268 |  |  |  |  |  |  |
RSU |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Compensation cost on non-vested RSUs not yet recognized | $ 500 |  |  |  |  |  |  |
2007 Plan | Stock Options |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Shares available to grant |  |  |  |  |  |  |  | 500,000
Number of additional shares authorized |  |  |  |  | 2,500,000 |  |  |
2022 Plan |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Shares available to grant | 558,268 |  |  |  |  |  |  |
2022 Plan | Stock Options |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Shares available to grant |  |  |  |  |  |  | 1,000,000 |
Non-Employee Directors Stock Option Plan | Stock Options |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Number of additional shares authorized |  |  |  |  |  | 400,000 |  |
Share-based compensation, shares issued |  |  |  | 100,000 |  |  |  |

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