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Common Stock and Stockholders' Equity - Common Stock and At-the-Market Offering Agreement (Details) - USD ($)					1 Months Ended		3 Months Ended	9 Months Ended
	May 29, 2026	May 13, 2026	Apr. 23, 2026	May 16, 2023	May 31, 2026	Apr. 30, 2026	Jun. 30, 2026	Jun. 30, 2026	Jun. 30, 2025	Sep. 30, 2025	Mar. 11, 2025	Mar. 10, 2025
Common Stock and Stockholders' Equity
Common stock, shares authorized							260,000,000	260,000,000		260,000,000	260,000,000	60,000,000
Payment of fees and other issuance costs								$ 1,930,539	$ 448,045
H.C. Wainwright ATM
Common Stock and Stockholders' Equity
Aggregate maximum offering price		$ 100,000,000
Common stock sale commission (as a percent)		3.00%
Termination notice period		5 days
Common stock issued (in shares)							17,005,831
Net proceeds							$ 14,131,114
Payment of fees and other issuance costs							$ 492,506
BTIG ATM
Common Stock and Stockholders' Equity
Aggregate maximum offering price				$ 100,000,000
Common stock sale commission (as a percent)				3.00%
Common stock issued (in shares)							0	15,227,166
Net proceeds							$ 0	$ 17,356,537
Payment of fees and other issuance costs								536,800
Amount reclassified on additional paid in capital				$ 353,688
Deferred costs							$ 259,560	$ 259,560
May 2026 Offering
Common Stock and Stockholders' Equity
Common stock issued (in shares)	8,539,709
Payment of fees and other issuance costs					$ 148,097
April 2026 Offering
Common Stock and Stockholders' Equity
Common stock issued (in shares)			16,129,033
Net proceeds			$ 4,113,550
Payment of fees and other issuance costs						$ 886,450