The seminal lawsuit making the “not born in Hawaii” argument was Barnett, Keyes, et.al. v Obama, et. al. That lawsuit went to the Supreme Court of the United States where it was denied a Writ of Certiorari.
Both the plaintiffs and the defense have submitted copies of the Hawaii long form in Taitz, et. al. v Mississippi Democratic Party Executive Committee, Obama, et. al.
It will be interesting to see how U.S. District Court Judge Henry Wingate ultimately rules in that case.
Statute Hawaii 2000
(6) A sworn certification by self-subscribing oath by the
9 candidate that the candidate qualifies under the law
10 for the office the candidate is seeking and that the
11 candidate has determined that, except for the
12 information provided by the registered voters signing
13 the nomination papers, all of the information on the
14 nomination papers is true and correct;
15 (7) A sworn certification by self-subscribing oath by a
16 party candidate that the candidate is a member of the
17 party;
18 (8) A sworn certification by self-subscribing oath, where
19 applicable, by the candidate, that the candidate has
20 complied with the provisions of article II, section 7,
21 of the Constitution of the State of Hawaii;
22 (9) A sworn certification by self-subscribing oath by the
23 candidate that the candidate is in compliance with
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S.B. NO. 980
1 section 831-2, dealing with felons, and is eligible to
2 run for office; and
3 (10) The name the candidate wishes printed on the ballot and
4 the mailing address of the candidate.”