In Alvarez, the Ninth Circuit is affirmed. Per Kennedy. His opinion is for a plurality.Here's the opinion PDF.
The statute violates the First Amendment. Breyer and Kagan concur and conclude that the Act as presently drafted fails First Amendment scrutiny. So Congress probably could rewrite it.
"Lying was his habit" is how the opinion begins.
Alito, Scalia, and Thomas dissent.
June 28, 2012
From the SCOTUSblog live blog this morning in the Supreme Court: