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Common, Preferred Stock and Warrants - Assumptions under Black-Scholes option pricing model (Details) | Jul. 23, 2025 $ / shares | Jul. 17, 2025 $ / shares | Jul. 31, 2025
--- | --- | --- | ---
2025 Investor Warrants |  |  |
Common, Preferred Stock and Warrants |  |  |
Market price at grant date | $ 1.68 | $ 1.61 |
Expected term (years) | 2 years 6 months | 2 years 6 months |
Grant date fair value per share | $ 0.9 | $ 0.85 |
2025 Investor Warrants | Volatility |  |  |
Common, Preferred Stock and Warrants |  |  |
Warrants, measurement input | 0.875 | 0.875 |
2025 Investor Warrants | Risk-free interest rate |  |  |
Common, Preferred Stock and Warrants |  |  |
Warrants, measurement input | 0.0379 | 0.0383 |
2025 Underwriter Warrants |  |  |
Common, Preferred Stock and Warrants |  |  |
Market price at grant date | $ 1.68 | $ 1.61 |
Expected term (years) | 2 years 8 months 26 days | 2 years 9 months | 4 years 6 months
Grant date fair value per share | $ 0.85 | $ 0.8 |
2025 Underwriter Warrants | Volatility |  |  |
Common, Preferred Stock and Warrants |  |  |
Warrants, measurement input | 0.85 | 0.85 |
2025 Underwriter Warrants | Risk-free interest rate |  |  |
Common, Preferred Stock and Warrants |  |  |
Warrants, measurement input | 0.0378 | 0.0382 |

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