State employees in Arizona must take an oath to support the Federal and State Constitutions and state laws. Under a legislative gloss put on the oath, an employee is subject to prosecution for perjury and discharge from office if he "knowingly and wilfully becomes or remains a member of the communist party of the United States or its successors or any of its subordinate organizations" or "any other organization" having for "one of its purposes" the overthrow of the state government where the employee had knowledge of the unlawful purpose. Petitioner, a teacher, filed suit for declaratory relief, having decided that she could not in good conscience take the oath, not knowing what it meant and being unable to obtain a hearing to determine its precise scope and meaning. The judgment of the Arizona Supreme Court sustaining the oath was vacated by this Court, 378 U.S. 127, and remanded for reconsideration in light of Baggett v. Bullitt, 377 U.S. 360. On reconsideration the Arizona Supreme Court reinstated the original judgment, finding the oath "not afflic