Ohio Rev. Code § 2935.24
A judge of a court of record may, by an endorsement under his hand upon a warrant of arrest, authorize the service thereof by telegraph, teletype, wire photo, or other means whereby a written or facsimile copy may be transmitted, and thereafter a copy of such warrant may be sent by any such means to any law enforcement officer. Such copy is effectual in the hands of any law enforcement officer and he shall proceed in the same manner under it as though he held the orginal warrant issued by the court making the endorsement, except that a state university law enforcement officer shall not arrest for a minor misdemeanor on the basis of a written or facsimile copy of a warrant of arrest. Every officer causing copies of warrants to be sent pursuant to this section, shall certify as correct and file in the office from which such warrant was sent, a copy of such warrant and endorsement thereon, and shall return the original with a statement of his action thereunder.
R.C. §2935.24