As you can see in this image, Adam Jones had a black Les Paul that was used for Parabol, Parabola and Prison Sex.
Submission Rating: Needs Review
Changed Quality Rating to: Needs Improvement (Notes)
Not a gibson Classic Custom, just a normal Gibson LPC natural finish, they didn't make Classic customs in the 90's, adam has had this guitar since the 90's playing it on Prison sex. https://www.youtube.com/watch?v=5kUsVUxwKhE&t=1632s&index=97&list=WL
Show in 1994 showing Adam jones with the LPC, they started production of Classic customs in 2009, making this a normal 70s/80s LPC with a natural finish.
Changed Quality Rating to: Needs Improvement (Source, Notes)
Edit: at 25:02 is where you will see LPC
Agree with Jake, the guitar is a Les Paul Custom with a natural finish.
Revised submission notes. Changed source.