Share-Based Compensation - Summary of restricted stock units (Details) - Restricted Stock Units - $ / shares	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Non-vested Stock Awards
Balance at the beginning of the period (in shares)	101,968	32,897
Balance at the end of the period (in shares)	242,080	101,968
2019 Plan
Non-vested Stock Awards
Balance at the beginning of the period (in shares)	101,968	32,897
Granted (in shares)	207,226	133,554
Issued (in shares)	(55,611)	(64,483)
Cancelled (in shares)	(11,503)
Balance at the end of the period (in shares)	242,080	101,968
Weighted Average Share Price
Balance at the beginning of the period (in dollars per share)	$ 7.49	$ 7.84	$ 6.51
Granted (in dollars per share)	7.34	8
Issued (in dollars per share)	7.63	7.51
Cancelled (in dollars per share)	7.33
Balance at the end of the period (in dollars per share)	$ 7.49	$ 7.84