Equipment List Required Documentation

In the documentation set that I received with my aircraft (PA28R-201T),
I found an "Eqipment List" that does not seem to have been kept up to
date. I also have a document with the original equipment list that came
with the aircraft when it was born. My latest weight and balance also
has equipment information on it.

Is there a definitive place where a definitive list is supposed to be
kept. Is it part of the required documentation that an aircarft is
required to have with it? Is the list supposed to include serial
numbers along with model numbers?

-Sami
N2057M, Piper Turbo Arrow III