> and those tags/hashes will be changing all the time as the models evolve

I think that's where your assumption differs from stated claims.

According to Anthropics own docs[0], they don't alter the models at all after release. So for each model release you should be able to prove that a response was created with that exact model without dumbing it down.

Zero knowledge proofs also still allow you to have disclosed inputs. You can make one of the inputs be a publicly commited hash of the model weights, and have the ZKP validate that the inference was done with that committed set of model weights, in addition to all the inferences in the batch all coming from the same model.

[0]: https://platform.claude.com/docs/en/about-claude/models/mode...