From the US State Department:
*A certified birth certificate has a registrar's raised, embossed, impressed or multicolored seal, registrar’s signature, and the date the certificate was filed with the registrar's office, which must be within 1 year of your birth. Please note, some short (abstract) versions of birth certificates may not be acceptable for passport purposes.
The Certification of Live Birth is a "short (abstract) version"
The Hawaii Certification of Live Birth is probably not sufficient to prove Natural Born Citizenship,
Why not? Do you have any sources to back up this claim?.
It gets into the requirement for Natural Born Citizenship. If birth in the US is sufficient, then the Certification would also be sufficient. However is parental citizenship is also a factor, then it is not sufficient, because it doesn't show parental citizenship, or place of birth. Birth in the US *is* sufficient for citizenship, via the 14th amendment (with some exceptions, such as children of foreign Ambassadors), but *may not* be sufficient for Natural Born citizenship, when the father was a foreign citizen/subject at the time of birth. But the courts have never adjudicated that. They've said a few things on the subject, but note ruled on it. The only time it really comes up is eligibility for the office of President. Otherwise a citizen is a citizen and natural born status is not required. (There are all sorts of Office holders who are naturalized citizens, the Governator being one of the better known ones).
The certification of live birth that Obama posted and various made available to media outlets have all of those characteristics.
It gets into the requirement for Natural Born Citizenship. If birth in the US is sufficient, then the Certification would also be sufficient. However is parental citizenship is also a factor, then it is not sufficient, because it doesn't show parental citizenship, or place of birth. Birth in the US *is* sufficient for citizenship, via the 14th amendment
It is sufficient for both. Natural born citizenship refers to citizenship by virtue of birth. The 14th Amendment resolves that definitively.
There is a reason no one challanged Chester A. Authur's eligibility for the office on the grounds that his father was not a citizen, which was well known and public knowledge.
All these things are on the birth certificate in question.
"The Certification of Live Birth is a "short (abstract) version"
Based on what? I must not be, because I got a passport with a birth certificate just like it.