v3.25.0.1

Warrants (Tables) | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2024 | Dec. 31, 2023
Schedule of warrant activity | ​
​ | ​ | ​
​ |  | Shares
Balance December 31, 2023 | ​ | 268,937
Issued | ​ | —
Exercised | ​ | (187,415)
Cancelled | ​ | (90)
Balance September 30, 2024 | ​ | 81,432
| ​
​ |  | Shares | ​
Balance December 31, 2021 |  | 2,398 | ​
Issued |  | 2,504 | (1)
Exercised |  | (1,459) | (2)
Cancelled |  | (107) | ​
Balance December 31, 2022 | ​ | 3,336 | ​
Issued | ​ | 619,185 | (3)
Exercised | ​ | (353,581) | (4)
Cancelled | ​ | (3) | ​
Balance December 31, 2023 | ​ | 268,937 | ​
(1) | Warrants issued in 2022 includes: 1,289 reload warrants, 995 common stock purchase warrants, 50 representative’s warrants, and 170 pre-funded warrants.
(2) | Warrants exercised in 2022 includes: 1,289 reload warrants at an exercise price of $1,933.14 per share, and 170 pre-funded warrants at an exercise price of $2.90 per share.
(3) | Warrants issued in 2023 includes: 472,672 common stock purchase warrants, of which 37,921 are classifies as liability warrants, 136,713 pre-funded warrants, and 9,800 representative’s warrants.
(4) | Warrants exercised in 2023 includes: 188,000 common stock purchase warrants at an exercise price range of $19.14 per share and $13.34 per share, 28,869 common stock purchase warrants (liability warrants) exercised with the alternative cash less option, 136,712 pre-funded warrants at an exercise price range of $0.06 and $0.01 per share.
Schedule of changes in the fair value of warrant liabilities | ​
​ | ​ | ​ | ​
​ | ​ | Common Stock
​ | ​ | Purchase Warrants
Fair value as of December 31, 2023 | ​ | $ | 72
Gain on changes in fair value of liability warrants | ​ | ​ | (46)
Fair value as of September 30, 2024 | ​ | $ | 26
| ​
​ | ​ | ​ | ​
​ | ​ | Common Stock
​ | ​ | Purchase Warrants
Fair value as of February 8, 2023 (issuance date) | ​ | $ | 10,363
Fair value of liability warrants in excess of proceeds, at issuance | ​ | ​ | (164)
Exercises of liability warrants | ​ | ​ | (6,249)
Gain on changes in fair value of liability warrants | ​ | ​ | (3,878)
Fair value as of December 31, 2023 | ​ | $ | 72
Black-Scholes model |  |
Schedule of Warrant Assumptions Used to Calculate Fair Value | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Cash Exercise |  | Cashless Exercise |
Stock Price | ​ | $ | 5.905 | ​ | $ | 5.905 | ​
Exercise Price | ​ | $ | 16.00 | ​ | $ | 0.00 | ​
Term (years) | ​ | ​ | 5.00 | ​ | ​ | 5.00 | ​
Volatility | ​ | ​ | 96.50 | % | ​ | 96.50 | %
Risk Free Rate | ​ | ​ | 3.784 | % | ​ | 3.784 | %
Dividend Yield | ​ | ​ | 0 | % | ​ | 0 | %
| ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Warrants |  | ​ | Strike Price |  | Volatility | ​ | Expected Term |  | Risk Free Rate | ​
Pre-funded warrants - February 2023 | ​ | 1,552 | ​ | $ | 0.01 | ​ | 96.5 | % | 5.0 | ​ | 3.78 | %
Representative’s warrants - February 2023 | ​ | 1,265 | ​ | $ | 510.40 | ​ | 96.5 | % | 5.0 | ​ | 3.79 | %
Common stock warrants - April 2023 | ​ | 13,806 | ​ | $ | 178.06 | ​ | 88.4 | % | 5.5 | ​ | 3.56 | %
Pre-funded warrants - April 2023 | ​ | 8,782 | ​ | $ | 0.01 | ​ | 88.4 | % | 5.5 | ​ | 3.56 | %
Representative’s warrants - April 2023 | ​ | 691 | ​ | $ | 196.04 | ​ | 96.3 | % | 5.0 | ​ | 3.57 | %
Common stock warrants - October 2023 | ​ | 235,345 | ​ | $ | 19.14 | ​ | 89.1 | % | 5.0 | ​ | 4.74 | %
Pre-funded warrants - October 2023 | ​ | 126,380 | ​ | $ | 0.06 | ​ | 89.1 | % | 5.0 | ​ | 4.74 | %
Representative’s warrants - October 2023 | ​ | 7,845 | ​ | $ | 21.05 | ​ | 89.2 | % | 5.0 | ​ | 4.74 | %
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Cash Exercise | ​ | Cashless Exercise |
Stock Price | ​ | $ | 342.49 | ​ | $ | 342.49 | ​
Exercise Price | ​ | $ | 928.00 | ​ | $ | 0.00 | ​
Term (years) | ​ | ​ | 5.00 | ​ | ​ | 5.00 | ​
Volatility | ​ | ​ | 96.50 | % | ​ | 96.50 | %
Risk Free Rate | ​ | ​ | 3.784 | % | ​ | 3.784 | %
Dividend Yield | ​ | ​ | 0 | % | ​ | 0 | %
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Warrants |  | ​ | Strike Price |  | Volatility | ​ |  | Expected Term |  | Risk Free Rate | ​
Reload warrants - June 2022 | ​ | 1,290 | ​ | $ | 1,933.14 | ​ | 64.8 | % | ​ | 7.5 | ​ | 3.32 | %
Reload warrants - November 2022 | ​ | 995 | ​ | $ | 870.00 | ​ | 84.3 | % | ​ | 5.5 | ​ | 4.21 | %
Representative’s warrants | ​ | 50 | ​ | $ | 870.00 | ​ | 84.3 | % | ​ | 5.0 | ​ | 4.23 | %
Pre-funded warrants | ​ | 170 | ​ | $ | 2.90 | ​ | 84.3 | % | ​ | 5.5 | ​ | 4.21 | %
​
Monte Carlo Simulation Model |  |
Schedule of Warrant Assumptions Used to Calculate Fair Value |  | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Warrants |  | ​ | Strike Price |  | Volatility |  | ​ | Expected Term |  | Risk Free Rate | ​
Common stock warrants - November 2023 | ​ | 185,604 | ​ | $ | 13.34 | ​ | 86.9 | % | ​ | 5.5 | ​ | 4.40 | %

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- Definition Tabular disclosure of warrant assumptions used to calculate fair value. + References No definition available. + Details
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- Definition Tabular disclosure of the fair value measurement of liabilities using significant unobservable inputs (Level 3), a reconciliation of the beginning and ending balances, separately presenting changes attributable to the following: (1) total gains or losses for the period (realized and unrealized), segregating those gains or losses included in earnings (or changes in net assets), and gains or losses recognized in other comprehensive income (loss) and a description of where those gains or losses included in earnings (or changes in net assets) are reported in the statement of income (or activities); (2) purchases, sales, issues, and settlements (each type disclosed separately); and (3) transfers in and transfers out of Level 3 (for example, transfers due to changes in the observability of significant inputs) by class of liability. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-3 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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- Definition Tabular disclosure of warrants or rights issued. Warrants and rights outstanding are derivative securities that give the holder the right to purchase securities (usually equity) from the issuer at a specific price within a certain time frame. Warrants are often included in a new debt issue to entice investors by a higher return potential. The main difference between warrants and call options is that warrants are issued and guaranteed by the company, whereas options are exchange instruments and are not issued by the company. Also, the lifetime of a warrant is often measured in years, while the lifetime of a typical option is measured in months. Disclose the title of issue of securities called for by warrants and rights outstanding, the aggregate amount of securities called for by warrants and rights outstanding, the date from which the warrants or rights are exercisable, and the price at which the warrant or right is exercisable. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-1 + Details
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