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Convertible Promissory Notes and Convertible Promissory Note Warrants - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions | 1 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | ---
Nov. 30, 2022 | Apr. 30, 2022 | Sep. 30, 2024 | Sep. 30, 2023 | Mar. 20, 2023 | Nov. 20, 2022
Debt Instrument [Line Items] |  |  |  |  |  |
Public combination multiplied cash price paid per share | $ 0.85 |  |  |  |  |
Percentage of warrant coverage | 40.00% |  |  |  |  |
Risk free interest rate |  |  | 3.11% |  |  |
Expected volatility |  |  | 96.00% |  |  |
Expected term (years) |  |  | 6 years 3 days | 6 years 3 months |  |
Minimum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Risk free interest rate |  |  |  | 3.50% |  |
Expected volatility |  |  |  | 75.00% |  |
Maximum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Risk free interest rate |  |  |  | 3.56% |  |
Expected volatility |  |  |  | 76.00% |  |
Common Stock |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Percentage of warrant coverage |  |  |  |  |  | 15.00%
Common Stock | Private CalciMedica |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Number of convertible promissory note converted into common stock | 20,487,104 |  |  |  |  |
Common Stock | Graybug |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Number of convertible promissory note converted into common stock | 590,031 |  |  |  |  |
Convertible promissory notes |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Issuance or Sale of Convertible Promissory Notes |  | $ 5.0 |  |  |  |
Gross proceeds of Convertible Promissory Notes | $ 5.0 | $ 3.5 |  |  |  |
Debt Instrument, Interest Rate During Period | 6.00% |  |  |  |  |
Convertible promissory notes | Common Stock |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Exercise price of warrants per share |  | $ 0.01 |  |  |  |
Convertible Promissory Note Warrants |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Issuance or Sale of Convertible Promissory Notes | $ 8.5 |  |  |  |  |
Exercise price of warrants per share | $ 0.01 |  |  |  |  |
Addiitional convertible promissory notes and Convertible Promissory Note Warrants | $ 3.5 |  |  |  |  |
Convertible promissory note warrants convertible | 5,308,047 |  |  |  |  |
Convertible promissory note warrants common stock converted | 5,308,047 |  |  |  | 152,871 |
Exchange of stock for stock | 152,875 |  |  |  |  |
Expected Per Share |  |  |  |  | $ 5.5 |
Convertible Promissory Note Warrants | Minimum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Risk free interest rate | 3.02% |  |  |  |  |
Expected volatility | 63.00% |  |  |  |  |
Expected term (years) | 4 years 1 month 6 days |  |  |  |  |
Convertible Promissory Note Warrants | Maximum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Risk free interest rate | 4.20% |  |  |  |  |
Expected volatility | 67.00% |  |  |  |  |
Expected term (years) | 4 years 7 months 6 days |  |  |  |  |
Convertible Promissory Note Warrants | Common Stock |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Exercise price of warrants per share | $ 0.01 |  |  |  |  |

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