Share-Based Compensation - Summary of restricted stock units (Details) - Restricted Stock Units - $ / shares	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Non-vested Stock Awards
Balance at the beginning of the period (in shares)	7,886	0
Balance at the end of the period (in shares)	101,968	7,886
2019 Plan
Non-vested Stock Awards
Balance at the beginning of the period (in shares)	32,897	25,396
Granted (in shares)	133,554	38,986
Issued (in shares)	(64,483)	(27,425)
Cancelled (in shares)		(4,059)
Balance at the end of the period (in shares)	101,968	32,897
Weighted Average Share Price
Balance at the beginning of the period (in dollars per share)	$ 7.84	$ 6.51	$ 6.30
Granted (in dollars per share)	8.00	6.52
Issued (in dollars per share)	7.51	6.32
Cancelled (in dollars per share)		6.57
Balance at the end of the period (in dollars per share)	$ 7.84	$ 6.51