Model is the model that did the work, taken from the FIRST turn whose body names one — a transcript states it, this route does not resolve it. Empty when no turn said.
Org is the org that published this build, echoed from the URL. It is part of the build's public ADDRESS and not a tenant key — this route is anonymous, and the only rows it can reach are ones an author explicitly published.
Session is the id of the agent session this story IS — the same value a produced commit carries in its Hanzo-Session: trailer, which is what ties the repository's history to this page.
Status is the session's own: running, paused, done or error. A build can be read while it is still being written, so this is not always terminal — and an error build is still a readable story, not a missing page.