Quoted: Hmmm, not trying to throw any cold water here but I was drafted in 1969 and was issued one of the last serial numbers before they started using the social security number, and I was US 51908***. Did they recycle numbers? I honestly don't know.
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Serial numbers went in a series.
First digit started as blocks for various catagories, at f1rst 1-3. As the # of draftees rose they started using numbers starting with 4, then with 5.
However, the second digit was assigned based upon the region you were inducted from, your number is from region 1, the one on the tag is from region 5. I compared it to a few #'s I knew from that region and it seems about right for a 1958 enlistment, but you could only use other #'s from the same region to compare.
So it is quite possible for 519xxxxx to be issued long after 556xxxxx, in fact you get a better idea of the time period by simply using the first and third digits, but even that will be a little off because not all regions issued numbers at the same rate.