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N.H. Rev. Stat. Ann. § 594:9

Arrest by Virtue of a Warrant Not in Officer's Possession

Source. 1941, 163:8

An arrest by a peace officer acting under a warrant is lawful even though the officer does not have the warrant in his possession at the time of the arrest, but, if the person arrested so requests, the warrant shall be shown to him as soon as practicable.

Official source: New Hampshire General Court. Reproduced from public-domain New Hampshire statutes; confirm against the official source for the current text. Not legal advice.