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Share-Based Compensation - Share-based Compensation Expense By Plan (Details) - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense $ 1,828,245 $ 1,497,661 $ 3,505,453 $ 4,074,848
Research and Development Expense        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense 520,373 301,104 937,351 888,098
General and Administrative Expense        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense 1,307,872 1,196,557 2,568,102 3,186,750
Equity Incentive Plan        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense 1,095,147 191,072 2,055,051 312,984
MoonLake AG Restricted Founder Shares        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense 0 364,218 0 1,574,300
ESPP        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense 733,098 771,313 1,450,402 1,828,267
ESOP        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation expense $ 0 $ 171,058 $ 0 $ 359,297