It says nothing about it on the website (
http://www.kapiolani.org/women-and-children/about-us/default.aspx); however, there are claims all over the internet that the name became Kapiolani Maternity and Gynecological Hospital in the 1930s. There are also other birth certificates from the same year which possess the same hospital name.
Arizona cannot force Hawaii to do anything; further, I do not know that the State of Hawaii can release Obama's birth certificate without his consent. And, well, Obama will simply state, once more, that it has been released; or, he will have it released, and the birthers will scream that he had his hand in tinkering this one, too.
I'm not an attorney, but if they say they have it can they be forced to produce it under the Freedom of Information Act?
Maybe he does not want people reading what he wrote in college. I sure as hell would not want to have to answer questions in ten years for things I wrote in the Daily Beacon.