To answer questions, I am in Bend, where we have 2 centers, and no the one I am in is not on PAS, and I think the other center is just getting setup. We're the last.
Also, at the other center our clock in was digital with our ID numbers and I never had this problem. At this center we 'punch' in literally, and sometimes when we run out of time cards we write it down on paper or sticky notes, so it would be very easy to fraud us.
As for stopping the belt, they are very big on enforcing the few reasons a belt can be stopped according to policy, and catching up is not one, we've been told.
So, let's be clear on this thing - do they or do they not have to get my sig to adjust my time card, no matter what reason? Because I haven't signed anything and I thought there was a law about this, and law is supposed to trump company policy.