N.H. Rev. Stat. Ann. § 611-B:23

In deaths investigated by a medical examiner, when the identity of a dead body cannot be established by visual means, fingerprints, or other identifying data, the medical examiner shall have a qualified dentist, as determined by the supervising medical examiner, carry out a dental examination of the dead body. If the medical examiner with the aid of the dental examination and other sources of identification is still not able to establish the identity of the dead body, he or she shall prepare and forward the dental examination records to the division of state police on a form supplied by the division for that purpose.