Share-Based Compensation - Restricted stock units related to the plan 2019 (Details) - USD ($)	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Shareholders' Equity and Share-Based Payments
Share-based compensation expense	$ 1,336,000	$ 345,000	$ 341,000
Restricted Stock Units
Shareholders' Equity and Share-Based Payments
Number of securities called by each award vested	1
Restricted stock units outstanding (in shares)	101,968	7,886	0
Restricted Stock Units | Chief Executive Officer
Shareholders' Equity and Share-Based Payments
Vesting period	3 years
Restricted Stock Units | Chief Financial Officer
Shareholders' Equity and Share-Based Payments
Vesting period	4 years
Forfeiture period	11,503
Restricted Stock Units | 2019 Plan
Shareholders' Equity and Share-Based Payments
Restricted stock units outstanding (in shares)	101,968	32,897	25,396
Unrecognized compensation expense	$ 659,000
Restricted Stock Units | 2019 Plan | Non-employee directors
Shareholders' Equity and Share-Based Payments
Share-based compensation expense	212,000	$ 178,000	$ 160,000
Restricted Stock Units | 2019 Plan | Employee
Shareholders' Equity and Share-Based Payments
Share-based compensation expense	$ 368,000	$ 3,000	$ 0