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Short-term Investments and Fair Value Measurements - Summary of Available-for-sale Securities (Details) - USD ($)
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Debt Securities, Available-for-sale [Abstract]    
Cost $ 272,645,074 $ 331,712,413
Gross Unrealized Gains 14,668 107,195
Gross Unrealized Losses (12,764,844) (1,648,668)
Fair Market Value 259,894,898 330,170,940
Mutual funds    
Debt Securities, Available-for-sale [Abstract]    
Cost 148,919,794 192,966,772
Gross Unrealized Gains 0 87,069
Gross Unrealized Losses (12,168,368) (1,614,411)
Fair Market Value $ 136,751,426 $ 191,439,430
U.S. treasury securities    
Debt Securities, Available-for-sale [Line Items]    
Contractual Maturity (in years) 1 year 1 year
Debt Securities, Available-for-sale [Abstract]    
Cost $ 119,296,713 $ 94,193,441
Gross Unrealized Gains 512 0
Gross Unrealized Losses (229,625) (9,921)
Fair Market Value $ 119,067,600 $ 94,183,520
Commercial paper    
Debt Securities, Available-for-sale [Line Items]    
Contractual Maturity (in years)   1 year
Debt Securities, Available-for-sale [Abstract]    
Cost   $ 39,967,853
Gross Unrealized Gains   0
Gross Unrealized Losses   0
Fair Market Value   $ 39,967,853
Certificates of deposit    
Debt Securities, Available-for-sale [Line Items]    
Contractual Maturity (in years) 1 year 1 year
Debt Securities, Available-for-sale [Abstract]    
Cost $ 2,977,223 $ 2,976,210
Gross Unrealized Gains 14,156 15,618
Gross Unrealized Losses (325) (338)
Fair Market Value 2,991,054 2,991,490
U.S. agency mortgage-backed securities    
Debt Securities, Available-for-sale [Abstract]    
Cost 1,451,344 1,608,137
Gross Unrealized Gains 0 4,508
Gross Unrealized Losses (366,526) (23,998)
Fair Market Value $ 1,084,818 $ 1,588,647