You pretty much nailed that 1819. We are basically numbers with names behind them when it comes to monies owed and our ID's.
This reminds me of an incident when I got my first license in PA.
I gave the dmv my old CDL (professional drivers license, class A for driving a truck) and they told me it had been turned in/discarded already.
I told the officer, "Just look at my license, I'm a "Jr", you talking about my father's license".
Since the CA license did not have a SS number on it, they didn't believe me.
Then I told them to look at the "birth date" on the license. They don't go by that either.
I had to wait "2 weeks" before I could drive a truck again, in PA, because of their "backwoods" computer system in 1995.
It's all about "your number".