N.H. Rev. Stat. Ann. § 21:52

The words "under oath" when used in connection with a document to be filed with the court or a state agency, which does not require a notary acknowledgment or notarization under New Hampshire law, shall be satisfied by electronic signature "under the penalty of perjury" if the document is filed with the court or state agency electronically, and if the document is accompanied by a statement under the electronic signature stating "the penalty for perjury may include a fine or imprisonment or both."