{"as_of":"2026-08-10T20:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9d6e18f2a35aa5535cf40589d99c49f9809510fffef8057aff65b37198a2566e","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":"2026-08-10T06:31:04.303077+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":"2026-08-06T15:48:35.615656Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T07:31:00.411356Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.05743","last_updated":"2024-09-09T15:57:29Z","snapshot_observed_at":"2026-08-04T02:30:18.643314Z","submitted_at":"2024-09-09T15:57:29Z","title":"Khovanov homology and refined bounds for Gordian distances","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.05743","snapshot_observed_at":"2026-08-06T15:48:35.615656Z","title":"A Khovanov stable homotopy type","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.15060","last_updated":"2025-07-20T17:51:42Z","snapshot_observed_at":"2026-08-09T19:45:49.566377Z","submitted_at":"2025-07-20T17:51:42Z","title":"Morse matchings and Khovanov homology of 4-strand torus links","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T15:48:35.615656Z"},"links":{"cited_paper":"/paper/2409.05743","citing_paper":"/paper/2507.15060"},"observation_digest":"sha256:03019ce2832c3abcefcced63c28ac5e2eecf94b20099e5e7efd16d53381969df","observation_id":"bd6e4bb6-eddd-4085-ade5-93b2362ef679","resolution":{"observed_at":"2026-08-06T15:48:35.615656Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.05743","last_updated":"2024-09-09T15:57:29Z","snapshot_observed_at":"2026-08-04T02:30:18.643314Z","submitted_at":"2024-09-09T15:57:29Z","title":"Khovanov homology and refined bounds for Gordian distances","version":1},"cited_work":{"arxiv_id":"2409.05743","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.05743","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[LM26] Charles Livingston and Allison H","venue":null,"work_id":"23eedd7f-28dd-4ddc-b1f0-f6c2f90e9c32","year":null},"citing_paper":{"arxiv_id":"2604.08981","last_updated":"2026-04-10T05:36:23Z","snapshot_observed_at":"2026-07-06T22:57:59.555972Z","submitted_at":"2026-04-10T05:36:23Z","title":"Equivariant Unknotting Number and Involutive Khovanov Homology","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T17:08:20.974908Z"},"links":{"cited_paper":"/paper/2409.05743","citing_paper":"/paper/2604.08981"},"observation_digest":"sha256:a89a46b5d0211fbc4a38cf3c4fcdd828921b6bfdc1dc3540c6a54ed2eab7e82f","observation_id":"199fee88-18f7-4ea5-a848-6a49599cdd74","resolution":{"observed_at":"2026-05-11T07:31:00.413666Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.05743/citation-record","integrity":"/paper/2409.05743/integrity","json":"/paper/2409.05743/citation-record.json","paper":"/paper/2409.05743"},"outbound":[],"paper":{"arxiv_id":"2409.05743","last_updated":"2024-09-09T15:57:29Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-04T02:30:18.643314Z","submitted_at":"2024-09-09T15:57:29Z","title":"Khovanov homology and refined bounds for Gordian distances"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2409.05743."}