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On average the distribution of selected watermarked tokens is the same as the original distribution. You can test this experimentally.

I think there is a possible weakness in the context of the watermarker but that is not your claim iiuc.



The distribution of token "ple" being the same on average, but lower after "crum" and higher after "cou", is not no difference. It's irrelevant that the single-token distribution is unchanged if the joint distribution is different.




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