{"as_of":"2026-08-15T04:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5498cce317dbf566b3ba2fb754b94a429ad02f4daa3b726d622027c58e0d8440","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T17:34:16.144923Z","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":"2026-08-06T17:34:16.257230Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.08824","last_updated":"2023-06-15T02:35:27Z","snapshot_observed_at":"2026-08-13T11:17:03.889483Z","submitted_at":"2023-06-15T02:35:27Z","title":"Improving the Lower Bound for the Union-closed Sets Conjecture via Conditionally IID Coupling","version":1},"cited_work":{"arxiv_id":"2306.08824","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.08824","snapshot_observed_at":"2026-08-06T17:34:16.257230Z","title":"Improving the Lower Bound for the Union-closed Sets Conjecture via Conditionally IID Coupling","venue":"cs.IT","work_id":"a8ebc6d6-f702-4943-9d8a-2b6885bd9d3f","year":2023},"citing_paper":{"arxiv_id":"2507.11008","last_updated":"2025-09-01T00:15:23Z","snapshot_observed_at":"2026-08-11T19:31:44.212965Z","submitted_at":"2025-07-15T05:56:02Z","title":"A lemma on a finite union-closed family of finite sets and its applications","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T17:34:16.144923Z"},"links":{"cited_paper":"/paper/2306.08824","citing_paper":"/paper/2507.11008"},"observation_digest":"sha256:2104a2856452d780e1fcc60f1b4eb220ee1165ed021dcf6d73acf3580af09171","observation_id":"4cbe6f76-e21f-4356-af07-8f55774642c6","resolution":{"observed_at":"2026-08-06T17:34:16.267256Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2306.08824/citation-record","integrity":"/paper/2306.08824/integrity","json":"/paper/2306.08824/citation-record.json","paper":"/paper/2306.08824"},"outbound":[],"paper":{"arxiv_id":"2306.08824","last_updated":"2023-06-15T02:35:27Z","latest_version":1,"primary_category":"cs.IT","snapshot_observed_at":"2026-08-13T11:17:03.889483Z","submitted_at":"2023-06-15T02:35:27Z","title":"Improving the Lower Bound for the Union-closed Sets Conjecture via Conditionally IID Coupling"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2306.08824."}