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Venture Loan and Security Agreement, Warrant and Debt Discount (Details) (Details) | 3 Months Ended | 6 Months Ended | 9 Months Ended |
--- | --- | --- | --- | ---
Jun. 30, 2024 USD ($) | Jun. 30, 2023 USD ($) | Jun. 30, 2024 USD ($) | Jun. 30, 2023 USD ($) | Sep. 30, 2022 USD ($) | Aug. 31, 2022 $ / shares shares
Venture Loan and Security Agreement [Abstract] |  |  |  |  |  |
Number of shares of common stock that can be purchased with warrants (in shares) | shares |  |  |  |  |  | 381,625
Exercise price of warrants (in dollars per share) | $ / shares |  |  |  |  |  | $ 3.6685
Term of warrants | 10 years |  | 10 years |  |  |
Debt issuance costs |  |  |  |  | $ 449,329 |
Unamortized debt discount | $ 1,710,639 |  | $ 1,710,639 |  |  |
Interest expense | 1,184,294 | $ 961,753 | 2,355,053 | $ 1,952,272 |  |
Amortization of debt discount | $ 283,774 | $ 121,997 | $ 554,010 | $ 233,523 |  |
Minimum [Member] |  |  |  |  |  |
Venture Loan and Security Agreement [Abstract] |  |  |  |  |  |
Percentage of voting power disposed off |  |  | 50.00% |  |  |
Expected Term [Member] |  |  |  |  |  |
Venture Loan and Security Agreement [Abstract] |  |  |  |  |  |
Term of warrants | 10 years |  | 10 years |  |  |
Risk-free Rate [Member] |  |  |  |  |  |
Venture Loan and Security Agreement [Abstract] |  |  |  |  |  |
Warrants measurement input | 0.0311 |  | 0.0311 |  |  |
Expected Volatility [Member] |  |  |  |  |  |
Venture Loan and Security Agreement [Abstract] |  |  |  |  |  |
Warrants measurement input | 0.938 |  | 0.938 |  |  |
Estimated Dividend Yield [Member] |  |  |  |  |  |
Venture Loan and Security Agreement [Abstract] |  |  |  |  |  |
Warrants measurement input | 0 |  | 0 |  |  |

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- Definition Amount of noncash expense included in interest expense to amortize debt discount and premium associated with the related debt instruments. Excludes amortization of financing costs. Alternate captions include noncash interest expense. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 45 -Paragraph 28 -Subparagraph (b) -SubTopic 10 -Topic 230 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482740/230-10-45-28 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 220 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03(8)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 470 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1F -Subparagraph (b)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147481139/470-20-50-1F Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 835 -SubTopic 30 -Name Accounting Standards Codification -Section 45 -Paragraph 3 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482925/835-30-45-3 + Details
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