Joe,
To qualify as a late war military finish accepted PP or PPK it would have to have the waffenamt acceptance stamp which was E/WaA359 for these pistols. It is typically found on the left side frame and slide.
Now, there are eagle N (E/N) commercial proof Nazi Era pistols that were certainly privately purchased/secured by officers, political leaders etc.--these would only have the E/N Nazi era commercial proof mark and NO military acceptance waffenamt stamp. Commercial PPKs with the E/N mark are in the range of around 359000K--431000K (there were around 34,000 PPKs that were commerical production in this serial range). I have a German Kommer Model 4 pistol that was made in 1940/41 with only E/N marks but I would not be surpirsed if this pistol was a military private purchase or in some way connected with the Nazi war machine. The German military used every available pistol they could get heir hands on both domestically and in conquered territories or countries and were still looking for more supply. So just because your PPK does NOT have a military acceptance stamp does not mean it was not involved with the German WWII war effort in some manner or way.