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How AI text watermarking works: a visual guide
(declaude.org)
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It's not about the variation of the words, it's about the variation of the words from the model baseline.
Like if your word choice was almost the exact same as Claude's normally, maybe you just talked to them a lot and picked up their phrases like it's not nothing.
But if you managed to be almost exactly like Claude and yet varied the possible words exactly according to a hidden entropy key, they'd know it was actually Claude with the SymthID-Text watermarking applied, as no human would end up falling into that statistical bucket.