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"I don’t believe you have cited any specific statute. What specific statute?"
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I have been conversing with several people and I'm not sure what I said specifically to you.

But in general, among the relevant laws are:

Hawaii Revised Statutes, §338-14.3 (paragraphs (a) and (b) only):

(a) Subject to the requirements of section 338-18, the department of health, upon request, shall furnish to any applicant, in lieu of the issuance of a certified copy, a verification of the existence of a certificate and any other information that the applicant provides to be verified relating to the vital event that pertains to the certificate.

(b) A verification shall be considered for all purposes certification that the vital event did occur and that the facts of the event are as stated by the applicant.

Rule 902 of the Federal Rules of Evidence (only section 1 quoted):

1. The following items of evidence are self-authenticating; they require no extrinsic evidence of authenticity in order to be admitted:

(1) Domestic Public Documents That Are Sealed and Signed. A document that bears:

(A) a seal purporting to be that of the United States; any state, district, commonwealth, territory, or insular possession of the United States; the former Panama Canal Zone; the Trust Territory of the Pacific Islands; a political subdivision of any of these entities; or a department, agency, or officer of any entity named above; and

(B) a signature purporting to be an execution or attestation.

and, finally, Article IV, Section 1 of the Constitution:

Full Faith and Credit shall be given in each State to the public Acts, Records, and judicial Proceedings of every other State. And the Congress may by general Laws prescribe the Manner in which such Acts, Records and Proceedings shall be proved, and the Effect thereof.

There's plenty of other relevant law, but these are the cites I believe I have given so far.