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Fair Value Measurements (Tables) | 12 Months Ended
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Dec. 31, 2024
Fair Value Disclosures [Abstract] |
Fair Value Measurement Inputs and Valuation Techniques | The key assumptions used in the Monte Carlo simulation as of December 31, 2024 are presented in the table below:
​ | ​ | ​ | ​
Asset volatility (1) |  | 85.8 | %
Risk-free rate (2) |  | 3.8 | %
Expected term (3) |  | 60 | months
(1) | Asset volatility measures the uncertainty about the realization of expected future returns that was estimated based on the methodologies assuming default risk based on the implied and historical volatility of the share price of peer companies.
(2) | Risk-free rate based on the U.S. Treasury yield in effect at the time of SAFEs consistent with the expected term.
(3) | The simulation considers a total 5-year term. If there are no events occurring within 5 years, then the SAFE holders are expected to receive their principal amount.
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation | The following table presents a reconciliation of the liability measured at fair value on a recurring basis using significant unobservable inputs (Level 3):
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Years Ended December 31,
​ |  | 2024 |  | 2023
Beginning balance | ​ | $ | 46,042 | ​ | $ | 13,340
SAFEs issued during the period | ​ |  | 10,232 | ​ |  | 18,985
Change in fair value during the period (1) | ​ |  | 27,864 | ​ |  | 13,717
Change in fair value upon conversion on SAFEs at Closing | ​ |  | (84,138) | ​ |  | —
Ending balance | ​ | $ | — | ​ | $ | 46,042
(1) | The final measurement of fair value at Closing was calculated using the intrinsic value of the SAFEs upon the conversion to common stock.

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- Definition Tabular disclosure of input and valuation technique used to measure fair value and change in valuation approach and technique for each separate class of asset and liability measured on recurring and nonrecurring basis. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 103 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482078/820-10-55-103 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (bbb)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (bbb)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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- Definition Tabular disclosure of the fair value measurement of liabilities using significant unobservable inputs (Level 3), a reconciliation of the beginning and ending balances, separately presenting changes attributable to the following: (1) total gains or losses for the period (realized and unrealized), segregating those gains or losses included in earnings (or changes in net assets), and gains or losses recognized in other comprehensive income (loss) and a description of where those gains or losses included in earnings (or changes in net assets) are reported in the statement of income (or activities); (2) purchases, sales, issues, and settlements (each type disclosed separately); and (3) transfers in and transfers out of Level 3 (for example, transfers due to changes in the observability of significant inputs) by class of liability. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-3 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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