Arkansas' highest court has denied a request to reconsider its June ruling upholding the state's execution secrecy law, but justices issued a stay that prevents the state from setting new execution dates as some inmates appeal to the U.S. Supreme Court.

The Arkansas Supreme Court issued an order Thursday denying a rehearing request by attorneys representing nine inmates who challenged the law that requires the Department of Correction to conceal the maker, seller and other information about the drugs. The inmates have argued the law could lead to cruel or unusual punishment and reneges on an earlier pledge by the state to share information.

The order also grants a request to delay putting the ruling into effect so the inmates can appeal the drug protocol to the U.S. Supreme Court.