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A band held ONE created_at interval per (relay, filter). For a filter naming several kinds that is a claim no walk can support: ask for `kinds: [0, 30382]`, find profiles going back years and score cards only from last month, and the band records 2020..now for the pair. The next run then skips that whole interior for BOTH — so score cards written inside it are never asked for again, and nothing anywhere says so. A long-lived kind vouched for a short-lived one. Band.spans is now per kind. Each carries only the evidence actually collected for it, so the profile kind keeps its wide interval and the score kind keeps its narrow one, and legs() re-opens the interior for the second while still skipping it for the first. Three things keep the cost of that where it was: - legs() REGROUPS kinds by the windows they want. Identical coverage — the common case, and the only case until they diverge — collapses back into one ask, so a filter that produced two legs still produces two rather than two per kind. Only a kind whose evidence genuinely differs earns its own. - A finished reconcile needs no per-kind evidence and is given none: negentropy compares the filter's whole id set in one pass, so it covers every kind in the filter or none. Only the PAGED path changed. - Filters naming no kinds keep a single span under ALL_KINDS, which is the same claim as before, correctly scoped to the case where it is the only claim available. record() takes observedByKind, and SyncCoverage.observe() accumulates it as events arrive — replacing the pair of hand-rolled vars each caller kept, and moving the per-event isPlausible guard in with it. A paged walk over a MULTI-kind filter that supplies none earns no band at all, loudly, once: attributing one interval to every kind is exactly the over-claim this removes, and a band that over-claims skips events silently, which is worse than re-reading them. Single-kind filters are untouched — there the aggregate always was the per-kind answer. The state file gains a per-kind `spans` object and keeps `min`/`max` as the outer edges, so a rollback to a binary from before this reads the file and behaves as it always did. A file written BEFORE this loads its one interval under ALL_KINDS — the old, wider claim, kept rather than discarded because discarding it would re-download every upstream's corpus once on upgrade. The first per-kind walk replaces it. All 26 existing SyncCoverage tests pass unchanged, which is the evidence that single-kind behaviour did not move. The five new ones were checked against the pre-fix rule reinstated in place: the two behavioural ones fail there and pass here. Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>