Thomas Kinkade, who once did a "limited edition" print run of 34,000. Even hit a finger with a needle to get a drop of blood for the ink he used to sign the prints so they "would have his DNA" on each one.
https://thomaskinkade.com/education/limited-edition/
Then there is this: "Bev Doolittle’s most recent print, Music in the Wind, has an S/N edition size of 43,500; however, this is the only print she published during the 1997 year."
Even if that's the only one she published all year, she would have to sign more than 119 a day just to get them all done in one year.
Marketing... it is all marketing.
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