The Supreme Court has struck down key provisions of Arizona’s crackdown on immigrants.

But the court said Monday that one much-debated part of the law could go forward — the portion requiring police to check the status of someone they suspect is not in the United States legally. Even there, though, the justices said the provision could be subject to additional legal challenges.

The decision upholds the famous (WW2) German line “your papers please” provision for the moment. But it takes the teeth out of it by prohibiting police officers from arresting people on minor immigration charges.

Justice Kennedy wrote the opinion for the court that was unanimous on allowing the status check to go forward. The court was divided on striking down the other portions.