JSON API Match models across providers (missing `base_model`)

I can't find a way of matching the canonical model from provider-specific model data in the JSON API.

Looking at the .toml files in the repo it seems that the base_model field is used to link back to the canonical model data
https://github.com/anomalyco/models.dev/blob/dev/providers/openrouter/models/openai/gpt-5.5.toml

base_model = "openai/gpt-5.5"

Points to: https://github.com/anomalyco/models.dev/blob/dev/models/openai/gpt-5.5.toml

The problem is that base_model is not exposed in any of the 3 JSON APIs, and "id" in each provider model document in the API response is provider-specific and not the canonical model ID.

What would be the correct way of matching models across providers in the JSON API?

Thanks!

Compare the provider model data in providers/openrouter/models/openai/gpt-5.5.toml with the canonical model at models/openai/gpt-5.5.toml, focusing on the base_model relationship. Then inspect the three JSON API responses and their generation entry points to determine where provider-to-canonical matching data is omitted. Done means the API exposes an unambiguous way to match these models across providers.