10th Cir. R. 41.1: Stay not routinely granted
Tenth Circuit Rules — Title VII. General Provisions
(A) Criminal cases. To minimize delay in the administration of justice, after the affirmance of a conviction the mandate will issue and bail will be revoked. A motion to stay the mandate will not be granted unless the court finds that it is not frivolous or filed merely for delay. The court—or a judge of the hearing panel— may revoke bail before the mandate is issued. See 18 U.S.C. § 3141(b).
(B) Civil cases. A motion to stay the mandate in a civil case will not be granted unless the court finds there is a substantial possibility that a petition for writ of certiorari would be granted.