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Business and Basis of Presentation - Common Shares Issued and Outstanding (Details) - shares
Jun. 30, 2026
Dec. 31, 2025
Organization, Consolidation and Presentation of Financial Statements [Abstract]    
Common stock, issued (in shares) 109,417,022 96,871,868
Shares of BKV Corporation's common stock (in shares) 109,417,022 96,871,868