New Hampshire record-clearing statutes These are the New Hampshire statutes that govern annulment. Each entry links to the official text. 651:5 Annulment of Criminal Records 651:5-a Annulment of Criminal Record Based on Conduct Occurring Between May 14, 2014 and 31 July 1, 2015 651:5-b Annulment of Arrests and Convictions for Marijuana Possession