You've seen this? I haven't seen this. Why didn't you produce it. That would be better evidence than anything put forth so far.
As far as federal law is concerned, the primary evidence that can be produced to confirm citizenship and identity is a U.S. Passport. Birth certificates are considered to be “secondary evidence.”
And yet one is the consequence of the other. See how mixed up is the "Federal law" regarding such things?
I am unable to produce a document that is in Barack Obama’s personal possession. Perhaps the Kapi’olani Hospital souvenir certificate will be available for viewing at the Obama Presidential Library?
The story of finding it (twice, once in Honolulu and once in Chicago)) is reported in both 1995’s Dreams From My Father and in 2013’s Double Down: Game Change 2012 by Mark Halperin and John Heilemann. There might be pictures of it in that later book but I haven’t read it to know for certain.
Passports are more difficult to counterfeit than birth certificates and they have a higher level of maintenance of the chain of custody. That is why they are primary evidence of citizenship and identity and birth certificates are secondary evidence.