Fair Value Measurements - Assumptions used for the fair value calculations of warrants (Details)	Sep. 30, 2024 USD ($) shares	Dec. 31, 2023 shares USD ($)
Series A warrants | Exercise price
Fair Value Measurements
Warrants outstanding, measurement input		17
Series A warrants | Volatility
Fair Value Measurements
Warrants outstanding, measurement input		85
Series A warrants | Stock price
Fair Value Measurements
Warrants outstanding, measurement input | shares		3.12
Series A warrants | Risk-free rate
Fair Value Measurements
Warrants outstanding, measurement input		5.1
Series A warrants | Expected term (in years)
Fair Value Measurements
Warrants outstanding, measurement input		0.7
Series B warrants | Exercise price
Fair Value Measurements
Warrants outstanding, measurement input	17	17
Series B warrants | Volatility
Fair Value Measurements
Warrants outstanding, measurement input	80	95
Series B warrants | Stock price
Fair Value Measurements
Warrants outstanding, measurement input | shares	2.95	3.12
Series B warrants | Risk-free rate
Fair Value Measurements
Warrants outstanding, measurement input	3.6	3.9
Series B warrants | Expected term (in years)
Fair Value Measurements
Warrants outstanding, measurement input	5	5.7