I still haven't figured out with evidence who P = C is!?

There is

Peter (Saint) = Cephas

https://en.wikipedia.org/wiki/Saint_Peter

Payseur(Paysour) = Crown Prince Louis XVII of France

Here is a new option that came to my mind

Phoenicians = Canaanites

https://en.wikipedia.org/wiki/Phoenicia

Maybe some of you have supplementing information to share!?