The eraser on the end is attached suing a red fiber tube:
I also measure up the Bandage Scissors (Item # 3468000), and have created the following image showing the dimensions:
The fibre tubing where the rubber attaches is an interesting feature, and one I don't
recall my parents, teachers, or any of their other contemporaries from the wartime era ever mentioning. I presume this was a wartime measure to conserve brass? I've seen a few pencils with steel ferrules there, but this one is a real revelation!
The bandage scissors with dimensioning shown is quite helpful. The basic design doesn't appear to have changed, so for re-enacting purposes, a set of current production could potentially be used if there's not non-authentic stamping or engraving visible. I have an almost identical set in my own bag (for actual use -- not display) which is lightly engraved "Made in Pakistan" on one side. Things like that
would have to be carefully kept out of sight!