I believe the strongest consistent set of existing evidence has him being been born and initially named "Barak Mounir Ubayd" at the Peace Arch Hospital in White Rock, BC Canada, to a bloodline Indonesian national female from the family that had already produced Indonesia's first president and yet another Rockefeller sperm donor who was carelessly--as is their habitual way--sowing his oats in SE Asia.
Those facts would be enough for the CIA to repeatedly craft a needed name change document in Canada and forge multiple birth-related documents in Hawaii on the non-existent union of his CIA-connected/foster mother, Stanley Ann Dunham and her Kenyan-born, CIA-supported, short-term boyfriend who was looking for a basis to extend his education-oriented stay in the US.
No less than Tavistock/Aspen Group "co-heir" John Brennan repeatedly saw to Barry's fake history and document trail to being created and legal challenges to go *poof*.