{"as_of":"2026-08-15T08:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d07786bfcb7b7ff7239127b4c1ae27c1d7fef6c39967a709d1066ce82dca30d1","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":"2026-08-15T06:32:42.880941+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":"2026-08-12T21:21:35.518467Z","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":"2026-05-13T18:08:15.816189Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.06884","last_updated":"2025-02-21T17:22:18Z","snapshot_observed_at":"2026-08-15T03:26:12.731822Z","submitted_at":"2024-06-11T01:50:50Z","title":"Szemer\\'edi-Trotter bounds for tubes and applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.06884","snapshot_observed_at":"2026-08-12T21:21:35.518467Z","title":"Szemer\\'edi-trotter bounds for tubes and applications","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.08871","last_updated":"2024-12-19T16:38:43Z","snapshot_observed_at":"2026-08-13T17:49:35.604829Z","submitted_at":"2024-11-13T18:50:52Z","title":"Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-12T21:21:35.518467Z"},"links":{"cited_paper":"/paper/2406.06884","citing_paper":"/paper/2411.08871"},"observation_digest":"sha256:44c7d86f84b4286df6dae5f13dc6a2407ebe733a871af25d11851fa71c950624","observation_id":"4d2702a3-64c3-49a5-a9f1-11af5c484274","resolution":{"observed_at":"2026-08-12T21:21:35.518467Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.06884","last_updated":"2025-02-21T17:22:18Z","snapshot_observed_at":"2026-08-15T03:26:12.731822Z","submitted_at":"2024-06-11T01:50:50Z","title":"Szemer\\'edi-Trotter bounds for tubes and applications","version":3},"cited_work":{"arxiv_id":"2406.06884","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.06884","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"”Szemer´ edi-Trotter bounds for tubes and applications.” arXiv preprint arXiv:2406.06884 (2024)","venue":null,"work_id":"f898da2f-d154-4c8e-a433-a1c7c64d3f4e","year":2024},"citing_paper":{"arxiv_id":"2604.03416","last_updated":"2026-04-03T19:29:24Z","snapshot_observed_at":"2026-08-12T02:37:06.098355Z","submitted_at":"2026-04-03T19:29:24Z","title":"The Kakeya conjecture, after Wang and Zahl","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-13T18:04:18.705647Z"},"links":{"cited_paper":"/paper/2406.06884","citing_paper":"/paper/2604.03416"},"observation_digest":"sha256:79183b3e3037a599bcdd5b13b2ed5e4cee7fda7f4efbed7700b62eae18adfee5","observation_id":"5ab11a55-e7cd-4409-a2a2-a1ada357cfd0","resolution":{"observed_at":"2026-05-13T18:08:15.817806Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2406.06884/citation-record","integrity":"/paper/2406.06884/integrity","json":"/paper/2406.06884/citation-record.json","paper":"/paper/2406.06884"},"outbound":[],"paper":{"arxiv_id":"2406.06884","last_updated":"2025-02-21T17:22:18Z","latest_version":3,"primary_category":"math.CA","snapshot_observed_at":"2026-08-15T03:26:12.731822Z","submitted_at":"2024-06-11T01:50:50Z","title":"Szemer\\'edi-Trotter bounds for tubes and applications"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2406.06884."}