I don’t know for sure which model J’s is, but there is an Epiphone in a recent copy of Musician’s Friend that looks just like it (P-90s and all.) It’s labled as "Epiphone Les Paul ’56" so maybe J has an original ’56 Gibson model. I’ve yet to locate a more recent Gibson equivalent, though.
"If you can’t pay money… At least pay attention!" – My Dad