Ohio Revised Code Title XXIX. Crimes Procedure § 2947.21

When a person is sentenced to a workhouse by the court of common pleas, the clerk of the court of common pleas shall make and deliver to the sheriff a certified copy of the judgment. The copy shall describe the crime charged and the sentence of the court. The sheriff shall deliver the copy to the officer in charge of the workhouse, and the copy shall be that officer's warrant for detaining the person in custody. In case of such a conviction by any other court or magistrate, the court or magistrate shall make a certified transcript of the docket in the case, which, in like manner, shall be delivered to the marshal, constable, or sheriff to be delivered by the marshal, constable, or sheriff to the proper officer in charge of the workhouse and be that officer's warrant for detaining the person in custody.

When a person is sentenced to a jail or workhouse under section 2929.24 of the Revised Code, the court shall certify a transcript of the docket in the case, and the court shall deliver the certified transcript to the proper officer in charge of the workhouse or jail, and the certified transcript is the officer's warrant for detaining the person in custody during the prescribed period or periods.