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Stockholders' Deficit - Common stock (Details) - USD ($) |  |  |  |  |  | 3 Months Ended | 4 Months Ended | 9 Months Ended | 12 Months Ended | 13 Months Ended | 25 Months Ended |  |  |  |
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Aug. 09, 2024 | May 09, 2024 | May 05, 2024 | Aug. 02, 2022 | May 16, 2022 | Sep. 30, 2024 | Jun. 30, 2024 | Sep. 30, 2023 | Jun. 30, 2023 | Mar. 31, 2023 | Dec. 31, 2022 | Sep. 30, 2024 | Sep. 30, 2023 | Dec. 31, 2023 | Sep. 30, 2024 | Sep. 30, 2024 | Oct. 31, 2023 | Aug. 18, 2023 | Aug. 17, 2022 | Jul. 14, 2022
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Financing expense |  |  |  |  |  |  |  |  |  |  |  | $ 3,545,000 |  |  |  |  |  |  |  |
Common stock, shares authorized (in shares) |  |  |  |  |  | 100,000,000 |  |  |  |  |  | 100,000,000 |  | 100,000,000 | 100,000,000 | 100,000,000 |  |  |  |
Proceeds from private placement |  | $ 7,300,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Offering expenses |  |  |  |  |  |  |  |  |  |  |  |  | $ 200,000 |  |  |  |  |  |  |
Fair value loss on warrant liability |  |  |  |  |  | $ (960,000) |  |  |  |  |  | $ (5,654,000) |  |  |  |  |  |  |  |
Remained authorized amount for repurchase |  |  |  |  |  | 0 |  |  |  |  |  | $ 0 |  |  | $ 0 | $ 0 |  |  |  |
Amendment and Restatements May 2024 Private Placement [Member] | Series A Warrant and Series B Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value of warrant liability reclassified to equity | $ 5,200,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issue and sale of share |  |  |  |  |  |  | 1,439,988 | 1,589,655 | 472,674 | 168,164 |  |  |  |  |  |  |  |  |  |
Number of stock repurchased |  |  |  |  |  |  |  |  |  |  |  | 179,866 |  | 78,559 |  |  |  |  |  |
Treasury stock |  |  |  |  |  | 400,000 |  |  |  |  |  | $ 400,000 |  | $ 100,000 | $ 400,000 | $ 400,000 |  |  |  |
Common Stock [Member] | Amendment and Restatements May 2024 Private Placement [Member] | Series A Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted beneficial ownership level result of exercise of warrant to receive pre-funded warrant |  |  | 4.99% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] | Amendment and Restatements May 2024 Private Placement [Member] | Series B Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted beneficial ownership level result of exercise of warrant to receive pre-funded warrant |  |  | 9.99% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Authorized amount of repurchase of stock |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 500,000 |  |  |
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares authorized (in shares) |  |  |  |  | 57,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Maximum value of shares to be issued under agreement |  |  |  | $ 50,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issue and sale of share |  |  |  |  |  |  |  |  |  |  | 266,666 | 0 |  | 410,500 | 150,000 |  |  |  |  |
Period exercisable from the date of issuance |  |  |  |  |  |  |  |  |  |  |  | 36 months |  |  |  |  |  |  |  |
Number of maximum common shares can be resale |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 633,333 |
Initial commitment shares |  |  |  | 32,846 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 32,846
Initial commitment fee paid in cash |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate gross proceeds from sales of common stock |  |  |  | $ 25,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of common stock, net |  |  |  |  |  |  |  |  |  |  | $ 3,200,000 |  |  | $ 1,000,000 |  |  |  |  |  |
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage issuance of common stock |  |  |  |  | 19.99% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
2022 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of maximum common shares can be resale |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,500,000 |  |
Number of shares reserved for issuance and sale |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 600,486 |
2020 Purchase Agreement [Member] | Lincoln Park Capital Fund, LLC [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issue and sale of share |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 527,166 |  |  |  |
May 2024 Private Placement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Financing expense |  |  | $ 3,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value loss on warrant liability |  |  |  |  |  | $ 1,000,000 |  |  |  |  |  | $ 5,700,000 |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of warrants |  |  | $ 10,900,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from private placement |  | 7,300,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Offering expenses |  | $ 400,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of shares issued |  | 3,591,532 | 3,591,532 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant [Member] | Initial Subscription [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrant exercise price (in dollars per share) |  |  | $ 1.772 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Series B Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of shares issued |  | 3,591,532 | 3,591,532 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Series B Warrant [Member] | Additional Subscription [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrant exercise price (in dollars per share) |  |  | $ 1.908 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant and Series B Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrant exercise price (in dollars per share) |  |  | 1.79 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Series A Warrant and Series B Warrant [Member] | Initial Subscription [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Offering price |  |  | 2.04 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Pre-Funded Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of shares issued |  | 2,151,544 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of securities called by warrant or right |  |  |  |  |  | 1,959,430 |  |  |  |  |  | 1,959,430 |  |  | 1,959,430 | 1,959,430 |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Securities Purchase Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrant exercise price (in dollars per share) |  |  | $ 0.001 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issue and sale of share |  |  | 3,591,532 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Private Placement and Pre-Funded Warrant [Member] | Initial Subscription [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of share |  |  | $ 2.022 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
May 2024 Private Placement [Member] | Common Stock [Member] | Private Placement and Pre-Funded Warrant [Member] | Additional Subscription [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of share |  |  | $ 2.158 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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