Most likely a custom Junior.
Unless they make single pickup MMs. I'm not sure.
The pickup, pickguard, and thickness scream LP Jr to me.
Epiphone Les Paul goldtop (EMG 81/85)
Epiphone Les Paul Custom
Fender Telecaster MIM
Epiphone SG Special
Jay Turser JT200 Serpent (GFS Crunchy Rails/Crunchy Pat)
Dean V-Coustic
Ovation Celebrity
Bugera 333-212
Crate Blue Voodoo 120H
It looks like a LP Jr but I can't be sure.
"There he goes. One of God's own prototypes. Some kind of high powered mutant never even considered for mass production. Too weird to live, and too rare to die."-Duke
looks like a custom LP jumior i think i saw a second pickup

if i know slash at all

it has to be custom lol
It appears to be a Gibson Melody Maker, but those are definitely not the stock pickups, so I don't know how much help it's going to be to know the make of the guitar, Sorry.
ITS A MEALODY MAKER and yes those ar ethe pickups beucase a really good amp can make a crap guitar sounds amazing :P: also he probly got paid lots ot use it beucase they came out around that time and he was probly just showcaseing it