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So you made the min payment before the due date, and PIF today? Why would they hammer you for that? It may cost you a few nickels tops, but they will not AA for that...
If you are not on 0% APR they will charge you a small interest or their minimum interest, whichever is the higher. That is what I think, though I always pay in full the day statement cuts, so do not have first hand experience with this situation.