Well, that's kind of a problem, looking ahead.
I've said for months that you can get any papers you want on the street in Mombasa, I'm quite sure I could produce a convincing Kenyan birth certificate for Eye of Unk containing any details you want, for the right price and given about six weeks.
Given the importance of this THIS paper, and given that the Director of Coast Provincial General Hospital went on record in January 2009 that he had searched the paper records for 1960-1961 and found no such document (linked at DU, YMMV), the ONLY way such a document will have any impact is for it to be authenticated by the Foreign and Commonwealth Office in London.
I don't imagine the present Government of Kenya would authenticate it, even if they were in a position to do so.
That’s probably why Obama did all that campaigning for his cousin in Kenya.