There is more than ample evidence it is bogus. And no one other than Obama and Factcheck has claimed it’s legit.
Nope. There is no credible evidence at all that it's fake. There were a couple of internet crackpots that posted riduculous analyses trying to claim so, but those guys had no expertise and didn't know what they were talking about. Of course that was good enough for birthers, but that's about it.