Thanks Daryl & Mike. I turns out that I did, in fact, already have the PDF that Daryl just uploaded. I don't know why it looked new to me, I guess that I just didn't pay that much attention to the arbors in that file.
One thing to note is that, strictly speaking, the 1-1/4 arbors are for No. 16 machines, not No. 12 machines. They have the 23/32" diameter pilot on the end that works with the ball bearing overarm support used on the No. 16. The No. 12 arbors, which work with the dead center held in the No. 12 overarm support, only go up to 1". The No. 16 piloted-arbors that I've seen do have a center in the end, but it's not as large as that of a No. 12 arbor. You could use a No. 16 arbor with a number 12 dead-center, but you would have several inches of extra, unsupported arbor to add flex to your setup. Add to that the fact that the pilot is only 0.719" in diameter and your 1-1/4" arbor starts to look pretty poor (IMHO), particularly if it's very long!