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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

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