v3.26.1
Cover - shares
 3 Months Ended
Mar. 31, 2026
May 14, 2026
Document Type 10-Q  
Amendment Flag false  
Document Quarterly Report true  
Document Transition Report false  
Document Period End Date Mar. 31, 2026  
Document Fiscal Period Focus Q1  
Document Fiscal Year Focus 2026  
Current Fiscal Year End Date --12-31  
Entity File Number 001-42982  
Entity Registrant Name BITCOIN INFRASTRUCTURE ACQUISITION CORP LTD.  
Entity Central Index Key 0002082542  
Entity Tax Identification Number 00-0000000  
Entity Incorporation, State or Country Code E9  
Entity Address, Address Line One 1200 N. Federal Hwy  
Entity Address, Address Line Two Suite 200  
Entity Address, City or Town Boca Raton  
Entity Address, State or Province FL  
Entity Address, Postal Zip Code 33432  
City Area Code (212)  
Local Phone Number 207-0090  
Entity Current Reporting Status No  
Entity Interactive Data Current Yes  
Entity Filer Category Non-accelerated Filer  
Entity Small Business true  
Entity Emerging Growth Company true  
Elected Not To Use the Extended Transition Period false  
Entity Shell Company true  
Units Each Consisting Of One Class A Ordinary Share 00001 Par Value And Onehalf Of One Redeemable Warrant [Member]    
Title of 12(b) Security Units, each consisting of one Class A Ordinary Share, $0.0001 par value, and one-half of one redeemable warrant  
Trading Symbol BIXIU  
Security Exchange Name NASDAQ  
Class A Ordinary Shares [Member]    
Title of 12(b) Security Class A Ordinary Shares  
Trading Symbol BIXI  
Security Exchange Name NASDAQ  
Redeemable Warrants Each Whole Warrant Exercisable For One Class A Ordinary Share At An Exercise Price Of 1150 [Member]    
Title of 12(b) Security Redeemable warrants, each whole warrant exercisable for one Class A Ordinary Share at an exercise price of $11.50  
Trading Symbol BIXIW  
Security Exchange Name NASDAQ  
Common Class A [Member]    
Entity Common Stock, Shares Outstanding   22,000,000
Common Class B [Member]    
Entity Common Stock, Shares Outstanding   7,333,333