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Summary of significant accounting policies - Potentially dilutive securities (Details) - shares | 9 Months Ended
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Sep. 30, 2024 | Sep. 30, 2023
Potentially dilutive securities |  |
Total shares of common stock equivalents | 2,993,473 | 634,623
March 2024 Private Placement | Pre-funded Warrants |  |
Potentially dilutive securities |  |
Warrants to purchase of shares | 507,076 |
Convertible preferred stock (as converted) |  |
Potentially dilutive securities |  |
Total shares of common stock equivalents | 28,112 | 28,112
Employee Stock Option |  |
Potentially dilutive securities |  |
Total shares of common stock equivalents | 734,131 | 582,641
Warrants to purchase common stock |  |
Potentially dilutive securities |  |
Total shares of common stock equivalents | 2,194,788 |
Unvested restricted stock units |  |
Potentially dilutive securities |  |
Total shares of common stock equivalents | 36,442 | 23,870

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- Definition Securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) or earnings per unit (EPU) in the future that were not included in the computation of diluted EPS or EPU because to do so would increase EPS or EPU amounts or decrease loss per share or unit amounts for the period presented. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 260 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482662/260-10-50-1 + Details
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- Definition Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 505 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Publisher FASB -URI https://asc.fasb.org/1943274/2147481112/505-10-50-3 + Details
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