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Summary of Significant Accounting Policies (Tables) | 6 Months Ended | 12 Months Ended
--- | --- | ---
Jun. 30, 2025 | Dec. 31, 2024
Summary of Significant Accounting Policies |  |
Schedule of potentially dilutive outstanding instruments which were not included in the computation of diluted EPS | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | As of June 30, | ​
​ |  | 2025 |  | 2024 |
Common stock purchase warrants | ​ | 1,467,581 | ​ | 1,150,834 | ​
Stock options |  | 300,467 |  | 56,699 |
Convertible debt |  | — |  | 100,947 |
Total |  | 1,768,048 |  | 1,308,480 |
| ​
​ | ​ | ​ | ​ | ​
​ | ​ | December 31, | ​ | December 31,
​ |  | 2024 |  | 2023
Common stock purchase warrants | ​ | 1,467,581 | ​ | 408,640
Stock options |  | 229,919 |  | 56,609
Convertible debt |  | 360,335 |  | 273,973
Total |  | 2,057,835 |  | 739,222
Schedule of impact of the correction on the Company's condensed consolidated balance sheet | The accompanying results of operations for the three and six-month periods ended June 30, 2025, appropriately reflect the accrual, timing and recognition of costs related to product development. ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Impact of correction of error
​ |  | ​ | As previously reported |  | ​ | Adjustments |  | ​ | As restated
As of March 31, 2025: (unaudited) | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Accrued expenses | ​ | $ | 3,404,332 | ​ | $ | (285,495) | ​ | $ | 3,118,837
Total liabilities | ​ | $ | 4,133,682 | ​ | $ | (285,495) | ​ | $ | 3,848,187
Total liabilities and shareholder’s equity | ​ | $ | 7,746,120 | ​ | $ | — | ​ | $ | 7,746,120
For the three months ended March 31, 2025: (unaudited) | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Research and development expenses | ​ | $ | 2,227,175 | ​ | $ | (285,495) | ​ | $ | 1,941,680
Total operating expenses | ​ | $ | 3,312,003 | ​ | $ | (285,495) | ​ | $ | 3,026,508
Loss from operations | ​ | $ | (3,312,003) | ​ | $ | 285,495 | ​ | $ | (3,026,508)
Net loss applicable to common stockholders | ​ | $ | (3,236,763) | ​ | $ | 285,495 | ​ | $ | (2,951,268)
Basic and diluted net loss per share | ​ | $ | (1.06) | ​ | $ | 0.09 | ​ | $ | (0.97)
​ |

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- Definition Tabular disclosure of securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) in the future that were not included in the computation of diluted EPS because to do so would increase EPS amounts or decrease loss per share amounts for the period presented, by antidilutive securities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482662/260-10-50-1 + Details
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- Definition Tabular disclosure of prior period adjustments to previously issued financial statements including (1) the effect of the correction on each financial statement line item and any per-share amounts affected for each prior period presented (2) the cumulative effect of the change on retained earnings or other appropriate components of equity or net assets in the statement of financial position, as of the beginning of the earliest period presented, and (3) the effect of the prior period adjustments (both gross and net of applicable income tax) on the net income of each prior period presented in the entity's annual report for the year in which the adjustments are made. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 250 -SubTopic 10 -Section 50 -Paragraph 8 -Publisher FASB -URI https://asc.fasb.org/1943274/2147483443/250-10-50-8 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 250 -SubTopic 10 -Section 50 -Paragraph 7 -Publisher FASB -URI https://asc.fasb.org/1943274/2147483443/250-10-50-7 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 250 -SubTopic 10 -Section 50 -Paragraph 9 -Publisher FASB -URI https://asc.fasb.org/1943274/2147483443/250-10-50-9 + Details
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