v3.25.2
Mezzanine Equity and Stockholders' Equity (Deficit) - Number of shares outstanding (Details) - shares
6 Months Ended
Jul. 31, 2024
Jun. 30, 2025
Dec. 31, 2024
Jul. 30, 2024
Dec. 31, 2023
Mezzanine Equity and Stockholders' Equity (Deficit)          
Total   15,381,565 15,198,232   779,908
Common Stock          
Mezzanine Equity and Stockholders' Equity (Deficit)          
Shares issued during period (in shares) 3,287,018 183,333      
Conversion of ARYA convertible promissory Notes (in shares) 355,100        
Conversion of ARYA Class A ordinary shares and Class B ordinary shares (in shares) 2,089,000        
Conversion of Class A ordinary shares subject to redemption 123,520        
Shares issued for acquisition of Legacy Adagio 6,771,769        
Additional shares issued and reclassification of Class A ordinary shares subject to non-redemption agreements and open market subscription agreements 761,229        
Total 13,387,636     0  
Common Stock | PIPE Investor          
Mezzanine Equity and Stockholders' Equity (Deficit)          
Shares issued during period (in shares) 3,287,018