Important addition: don't just shut the fuck up.

First, in some jurisdictions, failure to identify is an arrestable offense. Full name, date of birth, relevant cards/papers.

Second, if you need to reach for something, say something so they don't think you're about to pull a weapon on them. Officer safety is always a concern in the land of handing out guns like candy.

Third, explicitly state that you are exercising your fifth amendment rights. Otherwise you might run into an "I want a lawyer, dawg" situation.