I am not familiar with the term arbor shim, but if you are looking for a shim that fits over the pinion gear sleeve Bratton's carrier shim p\n 6071, which is .005 thick will slide right over the pinion sleeve. This is because all four tapered bearings in the differential are all the same part number. The Bratton shims are designed to be used on the carrier hubs, but they will also fit on the pinion sleeve.
However, installing shims on the pinion gear sleeve is a useless exercise. Adding a shim behind the first bearing pushes the pinion gear further aft. Alternately, taking a cut on the pinion bearing stop will move it in the opposite direction. People who have become convinced that bluing the ring & pinion is necessary through bad information have come to the conclusion that one of these option is necessary. None of this is necessary to properly overhaul and set up a Model A differential.
The first effort in the differential rebuilding process should be to set the carrier preload. This is done through a trial and error effort to determine how many banjo gaskets are required. Carrier shims may also be required in some cases. Once this is done the pre-load on the pinion gear assembly is set by adjusting the two large nuts on the pinion sleeve.
The third effort is to set the backlash. This is done through trial and error of moving the previously selected banjo gaskets left\right. This will move the ring gear either closer or further away from the pinion gear.
Moving the pinion gear fore and aft is not necessary. In 30 years I have rebuilt over 800 Model A differentials and have never found a shim on a pinion sleeve, or evidence of the bearing stop being machined.
If you go to the web site of the Santa Anita A's of Arcadia, California at
www.santaanitaas.org , on the home page is my name, click on it to go to a tech library. Go to the differential section and pull up the article dated 2014. This is a tutorial that will explain and show in pictorial detail exactly how to rebuild a Model A differential.
Tom Endy