Ohio Rev. Code § 2953.13
When a defendant has been committed to a state correctional institution and the judgment by virtue of which the commitment was made is reversed on appeal, and the defendant is entitled to discharge or a new trial, or when the case is remanded to the trial court for any reason, the clerk of the court reversing the judgment or remanding the case, under the seal of the court, shall forthwith certify the reversal or remand to the warden of the state correctional institution.
The warden, on receipt of the certificate, if a discharge of the defendant is ordered, shall forthwith discharge the defendant from the state correctional institution.
If a new trial is ordered or the case is remanded, the warden shall forthwith cause the defendant to be conveyed to the jail of the county in which the defendant was convicted, and committed to the custody of the sheriff of that county.
R.C. §2953.13