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Shareholders' Equity and Share-Based Payments (Details) - USD ($) | 3 Months Ended | 6 Months Ended |  |
--- | --- | --- | --- | ---
Mar. 31, 2022 | Mar. 31, 2021 | Mar. 31, 2022 | Mar. 31, 2021 | Sep. 30, 2021 | Aug. 27, 2020
Share-Based compensation |  |  |  |  |  |
Common stock, shares authorized | 75,000,000 |  | 75,000,000 |  | 75,000,000 |
Preferred stock, shares authorized | 10,000,000 |  | 10,000,000 |  | 10,000,000 |
Share-based compensation expense | $ 204,589 | $ 204,574 | $ 250,180 | $ 250,165 |  |
2019 Plan |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Common stock, shares authorized | 139,691 |  | 139,691 |  |  |
Share-based compensation expense | $ 204,589 | 204,574 | $ 250,180 | 250,165 |  |
Number of shares of common stock reserved for awards | 663,751 |  | 663,751 |  |  |
Unrecognized compensation cost, related to non-vested stock options | $ 73,828 |  | $ 73,828 |  |  |
2019 Plan | Maximum |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Number of shares of common stock reserved for awards | 750,000 |  | 750,000 |  |  |
2019 Plan | Employee |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | $ 44,594 | 44,594 | $ 90,185 | 90,185 |  |
Number of shares of common stock reserved for awards | 300,000 |  | 300,000 |  |  |
2019 Plan | Chief Financial Officer |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Number of shares of common stock available for awards under the plan |  |  |  |  |  | 100,000
2019 Plan | Non Employee Director |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | $ 159,995 | $ 159,980 | $ 159,995 | $ 159,980 |  |

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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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