{"as_of":"2026-08-12T20:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:de9df540f8576a800b9aaad06e8c3b49f4437d5c57084b7e75a9cdc4964eba89","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:09:37.467109Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T22:09:37.608011Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.05871","last_updated":"2025-02-17T16:15:47Z","snapshot_observed_at":"2026-08-10T08:11:04.668010Z","submitted_at":"2024-08-11T22:37:26Z","title":"Helly type problems in convexity spaces","version":4},"cited_work":{"arxiv_id":"2408.05871","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.05871","snapshot_observed_at":"2026-08-10T22:09:37.608011Z","title":"Helly type problems in convexity spaces","venue":"math.CO","work_id":"eee35180-52bf-4928-9b8c-c955c4023986","year":2024},"citing_paper":{"arxiv_id":"2501.03207","last_updated":"2025-05-22T07:09:48Z","snapshot_observed_at":"2026-08-10T21:50:40.773523Z","submitted_at":"2025-01-06T18:38:52Z","title":"Helly-type theorems for separated $d$-intervals","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T22:09:37.467109Z"},"links":{"cited_paper":"/paper/2408.05871","citing_paper":"/paper/2501.03207"},"observation_digest":"sha256:c9d4c74a43855ca24a892526e1c8f8e84efe1245913e46460cd022dc669e7746","observation_id":"fb97919a-8b04-45b6-99a0-a46de8701ac4","resolution":{"observed_at":"2026-08-10T22:09:37.613455Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.05871","last_updated":"2025-02-17T16:15:47Z","snapshot_observed_at":"2026-08-10T08:11:04.668010Z","submitted_at":"2024-08-11T22:37:26Z","title":"Helly type problems in convexity spaces","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.05871","snapshot_observed_at":"2026-08-03T07:57:37.833797Z","title":"Helly type problems in convexity spaces.arXiv preprint arXiv:2408.05871, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29403","last_updated":"2026-07-31T13:22:12Z","snapshot_observed_at":"2026-08-12T09:29:27.858050Z","submitted_at":"2026-07-31T13:22:12Z","title":"Strong invariants and Tverberg numbers in convexity spaces","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T07:57:37.833797Z"},"links":{"cited_paper":"/paper/2408.05871","citing_paper":"/paper/2607.29403"},"observation_digest":"sha256:5180858ca677e00ae75328b361c24fa4ea202a8219dd1cf69b79f4d5c098e02c","observation_id":"e9104082-b1cf-4ee2-a0ac-35796886cdff","resolution":{"observed_at":"2026-08-03T07:57:37.833797Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2408.05871/citation-record","integrity":"/paper/2408.05871/integrity","json":"/paper/2408.05871/citation-record.json","paper":"/paper/2408.05871"},"outbound":[],"paper":{"arxiv_id":"2408.05871","last_updated":"2025-02-17T16:15:47Z","latest_version":4,"primary_category":"math.CO","snapshot_observed_at":"2026-08-10T08:11:04.668010Z","submitted_at":"2024-08-11T22:37:26Z","title":"Helly type problems in convexity spaces"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.05871."}