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Commitments and Contingencies (Details) - USD ($) | 1 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 31, 2021 | Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2015
Commitments and Contingencies |  |  |  |
Payment for each patent issued |  | $ 130,089 | $ 192,668 |
Licensing agreements |  |  |  |
Commitments and Contingencies |  |  |  |
Payable for each patent filing pending |  |  |  | $ 10,000
Payment for each patent issued |  |  |  | $ 20,000
Payment for each patent issue days |  |  |  | 20 days
Other long-term liabilities assumed in non-cash activities | $ 426,937 |  |  |
Intangible assets acquired in non-cash activities | $ 426,937 |  |  |
Long-term liability for estimated present value of future payments under licensing agreement |  | 838,458 | $ 917,100 |
Licensing agreements | Maximum |  |  |  |
Commitments and Contingencies |  |  |  |
Annual payment due |  | $ 100,000 |  |
June 21st | Licensing agreements |  |  |  |
Commitments and Contingencies |  |  |  |
Payment for each patent issue days |  |  |  | 20 days

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