I would also call the bar examiner's office to see if there is another ID that can be used. Most of the time, they're only asing for the Social Security Number to (a) run background checks, and (b) to use as some form of tracking number. There might be an alternative that works. . (And to Mlaw's comment, I have no doubt that Cal Bar accepts non-citizens. While you might have to be a citizen to get certain jobs, such as prosecutor, etc., there are generally no citizenship requirements just to be a lawyer...)