But he, as far as I can tell, will never have to prove that he is constitutionally eligible to serve.
Kenya could demand 10 billion dollars of foreign aid per year, and Obama would provide it. (Family, ya know...)
Biden could get him to do anything he wanted, if he had a copy of the cert: if O is ineligibile to serve - the VP becomes president.
There are lots of other cute scenarios involving China or Russia, too.