When a subscriber hits the unsubscribe button, they will be taken to a an "Unsubscribe Preferences" page (see below).
From this page, a subscriber can selects the list(s) they want to unsubscribe from (or to), or they can choose to unsubscribe from ALL future emails. If they select the box "Unsubscribe me from all future emails," they will not receive any emails from Pinpointe in the future - even if you add them to a new list.