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Equity-based compensation - Legacy Stock Options Warrants (Details) - Stock options and warrants - $ / shares
6 Months Ended 12 Months Ended
Jun. 30, 2022
Dec. 31, 2021
Legacy BioPharmXOptions    
Shares Underlying Options    
Outstanding, end of period (in shares) 15,781  
Weighted Average Exercise Price    
Outstanding, end of period (in dollars per share) $ 75.27  
Weighted Average Remaining Contractual Term (Years)    
Weighted Average Remaining Contractual Life (in Years) 10 months 24 days  
Legacy BioPharmXWarrants    
Shares Underlying Options    
Outstanding, beginning of period (in shares) 213,992  
Shares Underlying Options and Warrants, Expired (2,222)  
Outstanding, end of period (in shares) 211,770 213,992
Weighted Average Exercise Price    
Outstanding, beginning of period (in dollars per share) $ 87.21  
Weighted Average Exercise Prices, Expired 225.00  
Outstanding, end of period (in dollars per share) $ 85.77 $ 87.21
Weighted Average Remaining Contractual Term (Years)    
Weighted Average Remaining Contractual Life (in Years) 1 year 3 months 18 days 1 year 9 months 18 days