I admit that I was surprised by the mention of 3/32” blue pivot steel, for I have only ever purchased this material in Metric sizes … So I went back to John Widing’s series, which commenced March 1972 in the Horological Journal.
Sure enough : He mentions using either blue pivot steel, or silver steel, for the arbors … and, perhaps more significantly, makes a point of explaining that he has dimensioned the project in ‘English sizes’ for convenience of obtaining materials.
I’m not sure if the introductory note made it into the book, so I am repeating it here:

Like other contributors; I would use blue pivot steel in Metric sizes, and adjust to suit.
MichaelG.
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Edit: just noticed that the last two posters prefer silver steel
Edited By Michael Gilligan on 06/11/2020 22:35:49