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Equity-based compensation - Legacy Stock Options Warrants (Details) - Stock options and warrants - $ / shares
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Legacy BioPharmXOptions    
Shares Underlying Options    
Outstanding, end of period (in shares) 316  
Weighted Average Exercise Price    
Outstanding, end of period (in dollars per share) $ 3,763.55  
Weighted Average Remaining Contractual Term (Years)    
Weighted Average Remaining Contractual Life (in Years) 7 months 6 days  
Legacy BioPharmXWarrants    
Shares Underlying Options    
Outstanding, beginning of period (in shares) 4,280  
Shares Underlying Options and Warrants, Expired (44)  
Outstanding, end of period (in shares) 4,235 4,280
Weighted Average Exercise Price    
Outstanding, beginning of period (in dollars per share) $ 4,360.50  
Weighted Average Exercise Prices, Expired 11,250.00  
Outstanding, end of period (in dollars per share) $ 4,288.50 $ 4,360.50
Weighted Average Remaining Contractual Term (Years)    
Weighted Average Remaining Contractual Life (in Years) 1 year 14 days 1 year 9 months 18 days