pinion Depth

Would anyone know what the required pinion depth from centerline of traction unit would be on an 8-3/4" with 3.73 gears and new bearings?

Is there anything marked on the gears? Do you know what shims were in there before it was taken apart? If you don't know, you could guesstimate but you will go through some trial and error to get it right. Get a checking bearing.