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Equity-based compensation - Stock Options and Restricted Stock Units (Details) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2022
Sep. 30, 2022
Dec. 31, 2021
Stock Options      
Shares Underlying Options      
Outstanding, beginning of period (in shares)   53,929  
Granted   34,680  
Forfeited   (777)  
Outstanding, end of period (in shares) 87,833 87,833 53,929
Exercisable, end of period (in shares) 18,652 18,652  
Weighted Average Exercise Price      
Outstanding, beginning of period (in dollars per share)   $ 54.50  
Granted   15.00  
Forfeited   143.50  
Outstanding, end of period (in dollars per share) $ 38.00 38.00 $ 54.50
Exercisable, end of period $ 58.5 $ 58.5  
Weighted Average Remaining Contractual Term (Years)      
Outstanding, end of period (in years)   9 years 1 month 6 days 9 years 7 months 6 days
Exercisable, end of period (in years)   8 years 9 months 18 days  
Aggregate intrinsic value $ 300 $ 300  
Restricted Stock Units      
Shares Underlying Options      
Granted 0 9,000  
Vested   (3,750)  
Outstanding, end of period (in shares) 5,250 5,250  
Weighted Average Exercise Price      
Granted   $ 15.50  
Vested   15.50  
Outstanding, end of period (in dollars per share) $ 15.50 $ 15.50  
Weighted Average Remaining Contractual Term (Years)      
Outstanding, end of period (in years)   7 months 6 days  
Granted (in years)   1 year  
Aggregate intrinsic value $ 81,376 $ 81,376  
Aggregate intrinsic value, Granted $ 139,500 $ 139,500