N.H. Rev. Stat. Ann. § 359-E:5-a

No person using an automated telephone dialing system or any other method for solicitation shall use any method, including per-call blocking or per-line blocking, to prevent caller identification information from being received by the called party station. The caller identification information shall contain a telephone number at which the telephone solicitor may receive telephone calls and shall not contain misleading, inaccurate, or deceptive information.