Really trying hard to understand what it is you cannot find. What's usually referred to as {4 x 4 hub for 1" live axle, no step} will bolt up directly to any rim that has a 4" bolt circle and a center hole large enough for the hub's center hub. Like Denny said................
Can't think of the math right now to figure how far apart any 2 adjacent lugs of a 4x4 wheel hub would be, but it doesn't matter anyway. They're only sized by the diameter of a perfect circle that traverses all 4 bolts (lugs). So like Denny said, the distance from any of the lugs across the center "pilot" hole to the opposite lug is the measure of the bolt circle. See attached link to MFG Supply 4x4 (4 bolts on a 4" bolt circle) hub below that's for a 1" straight-through (no step) live axle. Note the (4) steel wheel numbers they give that the hub will fit onto: Those rims are all 8" rims, ranging in width from 3&3/4" to 5&3/8" to 7" to 9" wide. Slap one on a 4X4 hub and voila!
53-681 - Steel Hub for 1" live axle. No step | Go Kart & Mini Bike Parts | MFG Supply
Just for yucks, here's links to the last set of 1" live axle and 3/4" bearing wheels I got from MFG. Price is almost double now what I paid then.
AZ1034 - 6" Steel Wheel, 3-9/16" wide, 1" live axle. | Go Kart & Mini Bike Parts | MFG Supply
AZ1035 - 6" Steel Wheel, 3-1/4" wide, 3/4" ID Bearing | Go Kart & Mini Bike Parts | MFG Supply