The factory WB sheet for my 53 model (#68 off the line) shows it at 1520#. No individual weights shown for each wheel, so I'm guessing this was what #1 weighed and they just used the same number for the rest.
Jump ahead to 1991, here's a W&B sheet showing 1645#. Wow, a 125# increase. Of course, full paint, radio gear, K engine, whatever, plus almost 40 years of dirt & grime-- it all adds up. The current W&B sheet from 2002 shows 1651 (with the CG at 34.9").
Near as I can tell, all the revisions were calculated, not weighed. I'm sure there's been some mods done that weren't included in the calculations. I'm fixing to install a set of door stewards, plus fueling steps & handles, and as soon as I'm done with that I'll weight it and see what I come up with. I'd like to think that it'll be less than that 1650-ish figure, but in reality I'm hoping that it's not even more.

