I just mic'd a bar of 1084 out at .137". I've been buying this 1/8" stock from Kelly for quite some time, but these bars are a little old. I'd bet there's not more than .005" scale on either side. Kelly is a good guy to deal with, he's got good prices and free shipping if you order enough steel.
No offense to anyone else selling steel, but there's nothing wrong with his. He doesn't sell any 1084 as large as Aldo does, so I don't see what the point of even saying that was. If you're needing 1/8" stock, you'd probably be happier using .120" than .245" Same thing with 3/16". If you have to remove a little scale, it's not really any worse than having to remove 1/16" of steel.