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Equation 73 · A Chatbot Confessed to Being Built by a Company That Never Trained It

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THT_H

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THT_H

Symbol T_H

the well-attributed.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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A pass would not prove the opposite in the strong sense either. Even a large, well-attributed THT_H in one sealed trial, with one seeded trait, on one pair of architectures, would show only that horizontal transmission of a designed trait is possible under laboratory conditions, not that it explains any specific reported incident in the wild, and not that every behavioral echo between unrelated models has a traceable channel behind it. The honest ambition here is narrower than proving that AI behaviors are alive. It is to replace a genre of confident claim and confident denial — a company copied us, it’s just contamination, the model is basically the same thing wearing new weights — with a…
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A pass would not prove the opposite in the strong sense either. Even a large, well-attributed THT_H in one sealed trial, with one seeded trait, on one pair of architectures, would show only that horizontal transmission of a designed trait is possible under laboratory conditions, not that it explains any specific reported incident in the wild, and not that every behavioral echo between unrelated models has a traceable channel behind it. The honest ambition here is narrower than proving that AI behaviors are alive. It is to replace a genre of confident claim and confident denial — a company copied us, it’s just contamination, the model is basically the same thing wearing new weights — with a number anyone could in principle recompute from a public specification, on a case built to fail cleanly if the claim behind it is empty.

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