{"as_of":"2026-08-09T16:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3a77b7be12e504307668c50e4c03e333f7844e418e0ab50b20370d56478e474f","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":"2026-08-09T06:31:02.800959+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":"2026-08-03T17:34:40.476294Z","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":"2026-05-17T22:55:24.829460Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.07695","last_updated":"2025-05-12T16:03:41Z","snapshot_observed_at":"2026-08-07T15:47:49.445559Z","submitted_at":"2025-05-12T16:03:41Z","title":"Introduction to the proof of the Kakeya conjecture","version":1},"cited_work":{"arxiv_id":"2505.07695","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.07695","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Gut25b] L","venue":null,"work_id":"e4e9435f-9c56-49b6-a2a3-7fa4591504a7","year":null},"citing_paper":{"arxiv_id":"2511.10918","last_updated":"2026-04-10T16:44:04Z","snapshot_observed_at":"2026-07-06T22:35:46.018050Z","submitted_at":"2025-11-14T03:15:09Z","title":"Bourgain's condition, sticky Kakeya, and new examples","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-17T22:55:08.053392Z"},"links":{"cited_paper":"/paper/2505.07695","citing_paper":"/paper/2511.10918"},"observation_digest":"sha256:07d2f94ad33a5535dd04a0d92bc94135b3d291611f22d727d6c1d2135e0e95c2","observation_id":"0f838b17-757d-43d7-ab22-71050fd0ea56","resolution":{"observed_at":"2026-05-17T22:55:24.832454Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.07695","last_updated":"2025-05-12T16:03:41Z","snapshot_observed_at":"2026-08-07T15:47:49.445559Z","submitted_at":"2025-05-12T16:03:41Z","title":"Introduction to the proof of the Kakeya conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.07695","snapshot_observed_at":"2026-08-03T17:34:40.476294Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.09397","last_updated":"2025-12-10T07:47:30Z","snapshot_observed_at":"2026-08-07T19:17:19.879696Z","submitted_at":"2025-12-10T07:47:30Z","title":"A Survey of the Kakeya conjecture, 2000-2025","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T17:34:40.476294Z"},"links":{"cited_paper":"/paper/2505.07695","citing_paper":"/paper/2512.09397"},"observation_digest":"sha256:80e9ac5aa8c68569a22220f7db0137e4207c9acd1ba553d8a5797c7f9c2236d3","observation_id":"4bec52ba-78c4-4f84-b7ca-e7e8cf6e9964","resolution":{"observed_at":"2026-08-03T17:34:40.476294Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.07695/citation-record","integrity":"/paper/2505.07695/integrity","json":"/paper/2505.07695/citation-record.json","paper":"/paper/2505.07695"},"outbound":[],"paper":{"arxiv_id":"2505.07695","last_updated":"2025-05-12T16:03:41Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-07T15:47:49.445559Z","submitted_at":"2025-05-12T16:03:41Z","title":"Introduction to the proof of the Kakeya conjecture"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2505.07695."}