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Stock Awards and Stock-Based Compensation - Stock-based compensation expense (Details) - USD ($)
3 Months Ended 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Dec. 31, 2022
Dec. 31, 2021
Stock Awards and Stock-Based Compensation        
Total stock-based compensation expense $ 59,574 $ 287,786 $ 2,399,063 $ 2,780,639
Cost of services        
Stock Awards and Stock-Based Compensation        
Total stock-based compensation expense 494 2,174 21,721 160,504
Research and development expense        
Stock Awards and Stock-Based Compensation        
Total stock-based compensation expense 18,855 59,860 292,084 493,336
Selling, general, and administrative        
Stock Awards and Stock-Based Compensation        
Total stock-based compensation expense $ 40,225 $ 225,752 $ 2,085,258 $ 2,126,799