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Equation 14 · Part 2 · What Open Weights Actually Let You Verify

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H≠H′H \neq H'
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What this part means

Not equal to.

Its job in the formula

Not equal to.

The passage around this formula

With a closed, API-served model, both arguments are partly opaque: θ\theta is asserted rather than shown, and θ\theta' — whatever the endpoint is actually running today — cannot be confirmed to equal θ\theta . A reproduction attempt is chasing two unknowns with one equation. With an open-weight release, θ\theta is a downloadable file, and a downloaded file can be checksummed against the one a vendor states it evaluated. That does not resolve the equation, but it removes a whole term from it: if the checksums match, θ\theta = θ\theta' is no longer a hypothesis, it is a verified fact, and any gap between s and s' has to be attributed to H ≠\neq H' . That is a strictly smaller, more tractable problem…

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Learn the underlying idea

An inequality compares values without claiming they are equal. It describes a range, threshold, or bound that a quantity may satisfy.

Open the illustrated inequalities: bounds and allowed ranges guide →

The article lists its research sources here.