The pivot can be measured with a micrometer, preferably in millimeters, or a digital caliper. It can be tricky holding onto the staff, at least when it's out of the balance, while measuring, but it's the only way unless you have a set of pivot gauges. These are essentially a bunch of different sized hole jewels that you place the staff into to see where it fits. One must bear in mind that if the best fit, evidenced by a slight tilt, is a size 12, the pivot is probably an 11. Plus there can be wear on the pivot to throw a wrench in the works.
You can also use the hole jewel to place on top of the staff pivot and see if it pops through without dropping all the way to the top of the cone. Just a slight bit of the pivot should poke through the hole jewel. Sometimes it hit or miss, and you do the best you can, try it out, and if it doesn't work, order another size. It's the nature of this beast. Good luck.