Ohio Rev. Code Ann. § 2937.30

When a defendant is discharged by the trial court otherwise than on a verdict or finding of acquittal, or when the appellate court reverses a conviction and orders the discharge of the defendant and the state or municipality signifies its intention to appeal therefrom, or the record is certified to the supreme court, the defendant shall not be discharged if he is in jail, nor the surety discharged or deposit released if the defendant is on bail, but the trial court, or the court to which appeal is taken may make order for his release on his own recognizance or bail, or recommit him.