Common Stock and Stockholders' Equity - Common Stock (Details) - USD ($)					1 Months Ended	3 Months Ended		9 Months Ended
	Apr. 15, 2024	Mar. 18, 2024	May 16, 2023	Mar. 26, 2021	Dec. 31, 2022	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023	Mar. 07, 2024	Mar. 06, 2024	Sep. 30, 2023
Common Stock and Stockholders' Equity
Common stock, shares authorized						60,000,000		60,000,000		60,000,000	21,250,000	60,000,000
Common stock issuable on exercise of warrants (in shares)						14,207,622		14,207,622
Proceeds from issuance of stock								$ 60,448,635	$ 27,596,910
Warrants related expenses						$ 3,392,444		$ 37,490,012
Private placement
Common Stock and Stockholders' Equity
Common stock issued (in shares)		8,571,423
Common stock issuable on exercise of warrants (in shares)		12,857,133
Shares issued price (in dollars per share)		$ 7.00
Common stock issuable by each warrants (in shares)		1.5
Proceeds from issuance of stock		$ 55,498,311
Warrants related expenses		$ 34,097,568
Private placement | GMS Ventures & Investments
Common Stock and Stockholders' Equity
Common stock issued (in shares)		2,305,714
Common stock issuable on exercise of warrants (in shares)		3,458,571
Exercise price per share		$ 7.70
Syntone Private Placement
Common Stock and Stockholders' Equity
Common stock issued (in shares)	714,286
Common stock issuable on exercise of warrants (in shares)	1,071,429
Proceeds from issuance of stock	$ 4,835,371
Exercise price per share	$ 7.70
Warrants related expenses		$ 3,392,444
Direct registered offering
Common Stock and Stockholders' Equity
Common stock issued (in shares)					1,423,041
Shares issued price (in dollars per share)					$ 17.568
Proceeds from issuance of stock					$ 23,208,679
Direct registered offering | GMS Ventures & Investments
Common Stock and Stockholders' Equity
Common stock issued (in shares)					711,520
Underwriter
Common Stock and Stockholders' Equity
Common stock issuable on exercise of warrants (in shares)					25,787
Exercise price per share					$ 21.00
Warrants exercise term					3 years
Wainwright ATM offering
Common Stock and Stockholders' Equity
Common stock issued (in shares)							0		44,769
Proceeds from issuance of stock									$ 1,089,105
Aggregate maximum offering price				$ 40,000,000
Amount reclassified on additional paid in capital				$ 197,654
Payment of fees to sales agent									$ 38,799
Common stock sale commission (as a percent)				3.00%
BTIG ATM
Common Stock and Stockholders' Equity
Common stock issued (in shares)						0	101,863	0	101,863
Proceeds from issuance of stock							$ 3,429,104		$ 3,429,104
Aggregate maximum offering price			$ 100,000,000
Amount reclassified on additional paid in capital			$ 353,688
Payment of fees to sales agent							$ 106,055		$ 106,055
Deferred costs						$ 331,512		$ 331,512
Common stock sale commission (as a percent)								3.00%