Correction. He has posted a certificate of live birth. It has not been authenticated and does not even pass the most cursory examination and I am not a COBL truther - just an observer. No government agency would accept what was posted as fact.
In Hawaii, a "Certification of Live Birth," can be used to register a foreign born person. This is what is REALLY at the heart of the matter. A "Certificate" would have things like the attending doctor, hospital, etc. The "fact" that Obama was born at "Kapi'olani Medical Center" is PURELY anecdotal.
Also, aside from the constitutionally-important "Natural Born Citizen" issue, there's another reason people are wanting to see the copy of the "Certificate of Live Birth" ...
... Some believe the COLB says "Barry Soetoro," which would cause other legal problems because no name change to "Barack Obama" occurred.
Obviously, "Barry Soetoro" was not on the ballot.