The press is protected by precedent (and the first amendment in general); they can publish any material they want, no matter how classified it is. The person who gets in trouble is the one who broke the laws and gave the material to the press.
The government has asked things not to be published in the past, particularly in the aeropspace sector. Sometime the press has complied, sometimes it hasn't.
Hell, the organization I used to work for has at least 3 pieces of TS material on their wikipedia page. Years back I brought my concerns to the security manager and they said "the worst thing you can do with classified material is try to remove it, because you're just validating that it's classified and correct."