Go read your Bible.
He bent down and wrote in the dust of the Temple. “What did He write?” is often asked. Read about the Sotah in Leviticus and you might have an idea.
My point exactly.
No one knows.. . .he wrote in the dirt, and there is no record of what he wrote. That does not constitute a "writing" (document) as any thinking person would understand the word.
The "Sotah" is a very enigmatic concept not defined in mainstream commentaries although it is supposedly refererenced in several old testament books, not just Leviticus.
External definitions of Sotah put the woman in dire straights, while the New Testament account describes Jesus as defending and forgiving the woman.
So what the blue blazes are you on about?