N.H. Rev. Stat. Ann. § 612:16

Unless the offense with which the prisoner is charged is shown to be an offense punishable by death or life imprisonment under the laws of the state in which it was committed, a judge or magistrate in this state may admit the person arrested to bail by bond, with sufficient sureties in such sum as he deems proper, conditioned for his appearance before the judge or magistrate at a time specified in such bond, and for his surrender, to be arrested upon the warrant of the governor of this state.