N.H. Rev. Stat. Ann. § 556:6

Demands against an estate not due, and demands depending on a contingency, may be filed in the court of probate, and the judge, after due notice, may require the administrator to retain in his hands, on settlement of his account, such sum as may be necessary to pay them; unless the widow, heirs or legatees shall give bond to the judge for the payment thereof when due or when the contingency shall happen.