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The cash outflow for cost incurred directly with the issuance of an equity security.

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Stockholders' Equity - Common Stock Offering (Details)				9 Months Ended
Stockholders' Equity - Common Stock Offering (Details)	Aug. 19, 2024 USD ($) $ / shares shares	May 16, 2024 USD ($) $ / shares shares	Mar. 09, 2024 USD ($) $ / shares shares	Sep. 30, 2024 USD ($) $ / shares
Issuance of common stock (in shares)			50,000
Average price of common stock \| $ / shares			$ 30.00
Issuance of common stock from public offering \| $	$ 13,100,000		$ 1,200,000	$ 22,001,799
Discount and other offering cost \| $				$ 2,219,868
Common warrants and prefunded warrants \| Estimated volatility of future stock price
Fair value measurement input		1.14
Common warrants and prefunded warrants \| Risk free interest rate
Fair value measurement input		4.4
Common warrants and prefunded warrants \| Expected term
Fair value measurement input		5.0
Common warrants and prefunded warrants \| Expected dividend rate
Fair value measurement input		0
Common warrants \| Stock price
Fair value measurement input		0.8
Prefunded warrants
Weighted-average exercise price \| $ / shares				$ 0.0002
Prefunded warrants \| Stock price
Fair value measurement input		0.0998
May Offering
Underwriting option period		45 days
Maximum number of shares and warrants available for issuance		45,000
May Offering \| Units
Average price of common stock \| $ / shares		$ 20.00
Number of units issued		149,100
Number of shares for each unit		1
May Offering \| Pre-Funded Units
Average price of common stock \| $ / shares		$ 19.96
Number of units issued		150,900
May Offering \| Common warrants
Number of shares for each unit		1
Weighted-average exercise price \| $ / shares		$ 24.00
Percentage of exercise price to the offering price per unit		120.00%
Warrants term		5 years
Number of shares for each warrant		1
Number of warrants for each unit		1
Proceeds from offering \| $		$ 6,000,000.0
May Offering \| Common warrants \| Pre-Funded Units
Weighted-average exercise price \| $ / shares		$ 0.0002
Number of shares for each warrant		1
May Offering \| Prefunded warrants
Number of warrants for each unit		1
August Offering
Issuance of common stock (in shares)	2,428,000
Average price of common stock \| $ / shares	$ 1.00
Proceeds from offering \| $	$ 14,400,000
Discount and other offering cost \| $	$ 1,300,000
August Offering \| Prefunded warrants
Weighted-average exercise price \| $ / shares	$ 0.0002
Number of shares for each warrant	1
Number of warrants issued	11,947,000
Purchase price per Warrant \| $ / shares	$ 0.9998
August Offering \| Prefunded warrants \| Maximum
Warrants to purchase common stock (in shares)	11,947,000
August Offering \| Option Prefunded Warrants
Weighted-average exercise price \| $ / shares	$ 0.0002
Number of shares for each warrant	1
Number of warrants issued	1,875,000
August Offering \| Option Prefunded Warrants \| Maximum
Warrants to purchase common stock (in shares)	1,875,000