Ha, Ha - No Nobel Prize after all for my little science project.
One side took .055" of shims and the other took .041". This with new bearings, light oil, and the castellated nut tightened as tight as I could get it. I used the entire Moss kit except for 2@ .003 shims.
Interesting to me is the way the nut works in combination with the two cotter-pin holes which are at 90 degrees. The thread is 16 tpi; one full turn is .0625"; moving from one slot on the nut at one hole 1/12 of a turn until the other hole lines up. That's .005". Therefore when it's too tight and you back the nut off until the bearings rotate easily but without slop, you can theoretically guess the thickness of shims to be added by the amount of rotation of the nut. In practice, though, that's not very accurate. I like the process of putting a lot of shims in then taking them out better than starting off tight as I did and adding shims.