Equity and Stock-Based Compensation - Additional Information (Details) - USD ($) $ in Thousands	12 Months Ended				84 Months Ended	120 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022	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	$ 1,530	$ 1,272	$ 543
Compensation cost on non-vested stock options not yet recognized	$ 1,300
Compensation cost, expected weighted-average recognition period	1 year 3 months 29 days
Shares available to grant	22,871
RSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Compensation cost on non-vested RSUs not yet recognized	$ 100
2007 Plan | Employee Stock Option
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	22,871
2022 Plan | Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares available to grant							1,000,000
Non-Employee Directors Stock Option Plan | Employee Stock Option
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