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Fair Value Measurements (Tables) | 3 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 31, 2025 | Dec. 31, 2024
Fair Value Measurements |  |
Schedule of assets and liabilities that are measured at fair value on a recurring basis | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | March 31, 2025
​ |  | (Level 1) |  | (Level 2) |  | (Level 3)
Assets: |  | ​ | ​ |  | ​ | ​ |  | ​ |
Marketable securities held in trust account | ​ | $ | 433,645 | ​ | $ | — | ​ | $ | —
Liabilities: | ​ |  | ​ | ​ |  | ​ | ​ |  |
Public Warrants | ​ | $ | — | ​ | $ | 2,270,100 | ​ | $ | —
Private Placement Warrants | ​ | $ | — | ​ | $ | 2,310,000 | ​ | $ | —
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, 2024
​ |  | (Level 1) |  | (Level 2) |  | (Level 3)
Assets: | ​ |  |  | ​ |  |  | ​ |  |
Marketable securities held in trust account |  | $ | 429,151 |  | $ | — |  | $ | —
Liabilities: | ​ |  | ​ | ​ |  | ​ | ​ |  | ​
Public Warrants |  | $ | — |  | $ | 2,300,000 |  | $ | —
Private Placement Warrants |  | $ | — |  | $ | 2,339,000 |  | $ | —
| ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | December 31, 2024
​ |  | (Level 1) |  | (Level 2) |  | (Level 3)
Assets |  | ​ |  |  | ​ |  |  | ​ |
Marketable securities held in trust account | ​ | $ | 429,151 | ​ | $ | — | ​ | $ | —
Liabilities | ​ |  | ​ | ​ |  | ​ | ​ |  |
Public Warrants | ​ | $ | — | ​ | $ | 2,300,000 | ​ | $ | —
Private Placement Warrants | ​ | $ | — | ​ | $ | 2,339,000 | ​ | $ | —
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | December 31, 2023
​ |  | (Level 1) |  | (Level 2) |  | (Level 3)
Assets | ​ |  |  | ​ |  |  | ​ |  |
Marketable securities held in trust account |  | $ | 44,709,805 |  | $ | — |  | $ | —
Liabilities | ​ |  | ​ | ​ |  | ​ | ​ |  |
Public Warrants |  | $ | 287,500 |  | $ | — |  | $ | —
Private Placement Warrants |  | $ | — |  | $ | 293,000 |  | $ | —
Schedule of fair value hierarchy for liabilities measured at fair value on a recurring basis | ​
​ | ​ | ​ | ​
​ |  | Warrant Liabilities
Level 2 Derivative warrant liabilities as of December 31, 2023 | ​ | $ | 293,000
Change in fair value of Private Placement Warrant liability | ​ |  | 2,046,000
Transfer of Public Warrant liability to Level 2 | ​ |  | 2,300,000
Level 2 Derivative warrant liabilities as of December 31, 2024 | ​ |  | 4,639,000
Change in fair value of warrant liabilities | ​ |  | (58,900)
Level 2 Derivative warrant liabilities as of March 31, 2025 | ​ | $ | 4,580,100
| ​
​ | ​ | ​ | ​
​ |  | Warrant Liabilities
Level 2 Derivative warrant liabilities as of December 31, 2023 | ​ | $ | 293,000
Change in fair value of Private Placement Warrant liability |  | ​ | 2,046,000
Transfer of Public Warrant liability to Level 2 |  | ​ | 2,300,000
Level 2 Derivative warrant liabilities as of December 31, 2024 | ​ | $ | 4,639,000
Schedule of changes in fair value of warrant liabilities | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | For the Three Months Ended March 31, 2025
​ | ​ | ​ | ​ | Private | ​ | ​ | ​
​ | ​ | Public | ​ | Placement | ​ | Warrant
​ |  | Warrants |  | Warrants |  | Liability
Derivative warrant liabilities as of December 31, 2024 | ​ | $ | 2,300,000 | ​ | $ | 2,339,000 | ​ | $ | 4,639,000
Change in fair value |  | ​ | (29,900) | ​ | ​ | (29,000) | ​ | ​ | (58,900)
Derivative warrant liabilities as of March 31, 2025 | ​ | $ | 2,270,100 | ​ | $ | 2,310,000 | ​ | $ | 4,580,100
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | For the Three Months Ended March 31, 2024
​ | ​ | ​ | ​ | Private | ​ | ​ | ​
​ | ​ | Public | ​ | Placement | ​ | Warrant
​ |  | Warrants |  | Warrants |  | Liability
Derivative warrant liabilities as of December 31, 2023 | ​ | $ | 287,500 | ​ | $ | 293,000 | ​ | $ | 580,500
Change in fair value | ​ | ​ | (221,950) | ​ | ​ | (226,000) | ​ | ​ | (447,950)
Derivative warrant liabilities as of March 31, 2024 | ​ | $ | 65,550 | ​ | $ | 67,000 | ​ | $ | 132,550
| ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Private | ​ | ​ | ​ | ​ | Share
​ | ​ | Public | ​ | Placement | ​ | Warrant | ​ | Redemptions
​ |  | Warrants |  | Warrants |  | Liability |  | Payable
Derivative warrant liabilities as of December 31, 2022 | ​ | ​ | 261,050 | ​ | ​ | 266,000 | ​ | ​ | 527,050 | ​ | ​ | —
Establishment of share repurchase liability | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | 197,694,657
Share repurchase payment | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (197,694,657)
Change in fair value |  | ​ | 26,450 |  | ​ | 27,000 | ​ | ​ | 53,450 |  | ​ | —
Derivative warrant liabilities as of December 31, 2023 |  | ​ | 287,500 |  | ​ | 293,000 | ​ | ​ | 580,500 |  | ​ | —
Change in fair value | ​ | ​ | 2,012,500 | ​ | ​ | 2,046,000 | ​ | ​ | 4,058,500 | ​ | ​ | —
Derivative warrant liabilities as of December 31, 2024 | ​ | $ | 2,300,000 | ​ | $ | 2,339,000 | ​ | $ | 4,639,000 | ​ | $ | —
Schedule of quantitative information regarding Level 3 fair value measurements inputs | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | March 31, | ​
Inputs: |  | 2025 |  | 2024 |
Common stock price | ​ | $ | 11.36 | ​ | $ | 10.80 |
Exercise price | ​ | $ | 11.50 | ​ | $ | 11.50 | ​
Risk-free rate of interest | ​ |  | 3.94 | % |  | 4.16 | %
Volatility | ​ |  | 0.00 | % |  | 0.00 | %
Term | ​ |  | 5.24 | ​ |  | 5.71 | ​
Warrant to buy one share | ​ | $ | 0.01 | ​ | $ | 0.01 | ​
Dividend yield | ​ |  | 0.00 | % |  | 0.00 | %
| ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | December 31, | ​
Inputs: |  | ​ | 2024 |  | ​ | 2023 |
Common stock price | ​ | $ | 11.14 | ​ | $ | 10.64 |
Exercise price | ​ | $ | 11.50 | ​ | $ | 11.50 | ​
Risk-free rate of interest | ​ |  | 4.37 | % |  | 3.81 | %
Volatility | ​ |  | 0.00 | % |  | 0.00 | %
Term | ​ |  | 5.75 | ​ |  | 5.21 | ​
Warrant to buy one share (adjusted for the probability of dissolution) | ​ | $ | 0.20 | ​ | $ | 0.03 | ​
Dividend yield | ​ |  | 0.00 | % |  | 0.00 | %
Schedule of quantitative information regarding Level 3 fair value measurements inputs date | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | June 9, |  | September 30, | ​ | October 11, |  | November 14, | ​ | December 13, | ​ | January 12, |  | February 12, | ​
Inputs: |  | 2023 |  | 2023 |  | 2023 |  | 2023 |  | 2023 |  | 2024 |  | 2024 | ​
Common stock price | ​ | $ | 10.54 | ​ | $ | 10.56 | ​ | $ | 10.57 | ​ | $ | 10.60 | ​ | $ | 10.62 | ​ | $ | 10.65 | ​ | $ | 10.73 | ​
Estimated probability of an Initial Business Combination | ​ |  | 10.00 | % | ​ | 10.00 | % |  | 10.00 | % | ​ | 10.00 | % | ​ | 10.00 | % | ​ | 10.00 | % | ​ | 10.00 | %
Estimated volatility | ​ |  | 76.56 | % | ​ | 65.96 | % |  | 64.90 | % | ​ | 63.91 | % | ​ | 65.52 | % | ​ | 66.02 | % | ​ | 64.40 | %
Risk-free rate | ​ |  | 5.10 | % | ​ | 5.39 | % |  | 5.31 | % | ​ | 5.17 | % | ​ | 4.88 | % | ​ | 4.60 | % | ​ | 4.88 | %
Time to expiration | ​ |  | 1.00 | ​ | ​ | 1.00 | ​ |  | 1.00 | ​ | ​ | 1.00 | ​ | ​ | 1.00 | ​ |  | 1.00 | ​ | ​ | 1.00 | ​
​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | June 9, |  | September 30, |  | October 11, |  | November 14, |  | December 13, |  | January 12, |  | February 12, | ​
Inputs: | ​ | 2023 | ​ | 2023 | ​ | 2023 | ​ | 2023 | ​ | 2023 |  | 2024 | ​ | 2024 | ​
Common stock price | ​ | $ | 10.54 | ​ | $ | 10.56 | ​ | $ | 10.57 | ​ | $ | 10.60 | ​ | $ | 10.62 | ​ | $ | 10.65 | ​ | $ | 10.73 | ​
Estimated probability of an Initial Business Combination | ​ |  | 10.00 | % |  | 10.00 | % |  | 10.00 | % |  | 10.00 | % |  | 10.00 | % | ​ | 10.00 | % | ​ | 10.00 | %
Estimated volatility | ​ |  | 76.56 | % |  | 65.96 | % |  | 64.90 | % |  | 63.91 | % |  | 65.52 | % | ​ | 66.02 | % | ​ | 64.40 | %
Risk-free rate | ​ |  | 5.10 | % |  | 5.39 | % |  | 5.31 | % |  | 5.17 | % |  | 4.88 | % | ​ | 4.60 | % | ​ | 4.88 | %
Time to expiration | ​ |  | 1.00 | ​ |  | 1.00 | ​ |  | 1.00 | ​ |  | 1.00 | ​ |  | 1.00 | ​ | ​ | 1.00 | ​ | ​ | 1.00 | ​
​

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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 assets and liabilities by class, including financial instruments measured at fair value that are classified in shareholders' equity, if any, that are measured at fair value on a nonrecurring basis in periods after initial recognition (for example, impaired assets). Disclosures may include, but are not limited to: (a) the fair value measurements recorded and the reasons for the measurements and (b) the level within the fair value hierarchy in which the fair value measurements are categorized in their entirety (levels 1, 2, 3). + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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- Definition Tabular disclosure of assets, including [financial] instruments measured at fair value that are classified in stockholders' equity, if any, by class that are measured at fair value on a recurring basis. The disclosures contemplated herein include the fair value measurements at the reporting date by the level within the fair value hierarchy in which the fair value measurements in their entirety fall, segregating fair value measurements using quoted prices in active markets for identical assets (Level 1), significant other observable inputs (Level 2), and significant unobservable inputs (Level 3). + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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- Definition Tabular disclosure of liabilities, including [financial] instruments measured at fair value that are classified in stockholders' equity, if any, by class that are measured at fair value on a recurring basis. The disclosures contemplated herein include the fair value measurements at the reporting date by the level within the fair value hierarchy in which the fair value measurements in their entirety fall, segregating fair value measurements using quoted prices in active markets for identical assets (Level 1), significant other observable inputs (Level 2), and significant unobservable inputs (Level 3). Where the quoted price in an active market for the identical liability is not available, the Level 1 input is the quoted price of an identical liability when traded as an asset. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a) -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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