Various sources have claimed or implied that Hawaii has verified or authenticated the pictures of a "Certification of Live Birth" ("COLB") as pictured on Obama's website. Or, they've claimed that Hawaiian officials have said that what's shown on his site matches what they have on file. Those claims are false. From this:

In response to a direct question from WND, the Hawaii Department of Health refused to authenticate either of the two versions of President Obama's short-form Certificate of Live Birth, or COLB, posted online – neither the image produced by the Obama campaign nor the images released by FactCheck.org.

Janice Okubo, the public information officer for the Hawaii DOH, also had no explanation for why Dr. Chiyome Fukino's initial press release last October and subsequent press release last week also avoided declaring the posted images to be of authentic documents.

Those falsely claiming that Hawaii has verified those pictures or who have made similar false claims include: Dave Weigel, the National Review, Media Matters, Alexandra Marks, Alex Koppelman, and many others.