The key to making sense of pivot is the thumb. It is
the anchor point, the upper four fingers move relative
to it.
Pivot lets you eliminate the so-called half position,
its just a first position pivoted down a half step.
Its for this reason that Rabbath can define 1st
position as everything from G# to C (on the G
string). Third position is when your thumb is at
the neck, playing D on the G, your 4 would normally
hit E, but its quite easy to pivot up and hit E with 1,
thus playing f# with 4, or hit the harmonic G.
The same thing Tom said, but I figured two people
saying it a bit differently might help
