Equity-Based Compensation - Schedule of Equity-Based Compensation Expense (Details) - USD ($) |
3 Months Ended | |
|---|---|---|
Mar. 31, 2026 |
Mar. 31, 2025 |
|
| Schedule of Equity-Based Compensation Expense [Line Items] | ||
| Total equity-based compensation expense | $ 252,364 | $ 548,765 |
| Location, Statement of Income, Balance [Axis]: cvkd:GeneralAndAdministrativeMember | ||
| Schedule of Equity-Based Compensation Expense [Line Items] | ||
| Total equity-based compensation expense | 204,348 | 276,830 |
| Location, Statement of Income, Balance [Axis]: cvkd:ResearchAndDevelopmentMember | ||
| Schedule of Equity-Based Compensation Expense [Line Items] | ||
| Total equity-based compensation expense | $ 48,016 | $ 271,935 |