Ohio Rev. Code § 4903.16
A proceeding to reverse, vacate, or modify a final order rendered by the public utilities commission does not stay execution of such order unless the supreme court or a judge thereof in vacation, on application and three days' notice to the commission, allows such stay, in which event the appellant shall execute an undertaking, payable to the state in such a sum as the supreme court prescribes, with surety to the satisfaction of the clerk of the supreme court, conditioned for the prompt payment by the appellant of all damages caused by the delay in the enforcement of the order complained of, and for the repayment of all moneys paid by any person, firm, or corporation for transportation, transmission, produce, commodity, or service in excess of the charges fixed by the order complained of, in the event such order is sustained.
R.C. § 4903.16