I believe that these days (the last 30 yrs at least) les pauls have 36mm from low to high E string, and so do the vintage ones.
It's true that in the Norlin era that distance was less? down to 35 mm?
Not true, at least you can't generalize Norlins. My '75 LPC and my 2010 LP Standard have exactly the same string spacing at nut.
Cannot say about later years in Norlin...
Ok, maybe my measures are not accurate, but I believe that the late sixties Gibsons, at least, had a narrower nut. The Angus Young SG, por example.
I would like to know if a 72 LP deluxe would have it so