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Wow, OK this is even weirder. After reading the manual it does not say what the pin size is. It does say a part number. But, of course we have no way of knowing from that document at least, what the governments pin size for that given part number is.
However, even if we assume that the part number that websites use on the internet is indeed the same part number that the military uses for that pin then we have a problem because you copied the wrong part number. The part number you typed ended in an "8" but it is not an "8" but a "B". If you search for that part number ending in a "B" then the part size comes up as 11/16. Yet a third size totally.
From the manual ... [4 PAOZZ 5315005975086 96906 MS16562-9B]
http://military-fasteners.elitefastenersinc.com/item/ms-pins/ms-16562-spring-pins/ms-16562-9
and
http://milspecfastenerscorporation.thomasnet-navigator.com/item/roll-spring-pins/spring-pin/ms-16562-9
But I think a 11/16 pin might actually fit from edge to edge so that might actually be the "correct milspec" size, as weird as that might be because zero civilian rifles that I have seen use that size. It would be cool to see a real military issue bolt and see what size it has.
I'm going to pull my bolt again measure the size of the channel/hole length and see what it is. Of course this is becoming more for fun now then anything else because it seems that civilian rifle companies tend to do what they want.