How do you know the 1875 is a P mint? It is much more likely that the example is a 1875 S. The reverse is a type 1. The obverse is questionable about being a possible type 2. If the obverse is a type 2, the example is a counterfeit. Note the the fingers holding the branch appear to have four nubs/fingers on the hand. The type 2 obverse was not used until 1876.