Really? Or will it just move on to "It's a forgery"? That's one of the problems with conspiracy theories. All evidence to the contrary can be spun as evidence of how deep the conspiracy goes.
If an official document is produced, with the proper embossed seal, that is viewable by the plaintiffs in any of the many lawsuits, that will end it for all but the most rabid tin foilers.
It will not be sufficient to have an Obama staffer look at the document, report on its contents, and proclaim it genuine.
That is what Kerry pulled when he "released" his military records and the only person that could see them was a Boston Globe reporter chosen by Kerry.
Of course, if the information on that document differs from what Obama has been claiming, that opens a whole new chapter.