{"as_of":"2026-08-09T20:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5c8d66f3038304cdfce1249b4b360a7c54a42c5bd6011470c5480d93488d1943","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":"2026-08-09T06:31:02.800959+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":"2026-07-30T17:32:16.451420Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.11190","last_updated":"2024-12-15T13:50:04Z","snapshot_observed_at":"2026-08-08T07:48:14.234726Z","submitted_at":"2024-12-15T13:50:04Z","title":"A one-dimensional planar Besicovitch-type set","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.11190","snapshot_observed_at":"2026-07-30T17:32:16.451420Z","title":"Altaf, A one-dimensional planar Besicovitch-type set, arXiv:2412.11190, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26906","last_updated":"2026-07-29T13:38:04Z","snapshot_observed_at":"2026-08-06T12:38:21.503642Z","submitted_at":"2026-07-29T13:38:04Z","title":"On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-30T17:32:16.451420Z"},"links":{"cited_paper":"/paper/2412.11190","citing_paper":"/paper/2607.26906"},"observation_digest":"sha256:33c4d31609e6657b5290ebc2a12d6496700eaad1bb5b73f554c068b689fabd73","observation_id":"bdd59d01-cb0a-48a1-97ed-ee598ed930ba","resolution":{"observed_at":"2026-07-30T17:32:16.451420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.11190/citation-record","integrity":"/paper/2412.11190/integrity","json":"/paper/2412.11190/citation-record.json","paper":"/paper/2412.11190"},"outbound":[],"paper":{"arxiv_id":"2412.11190","last_updated":"2024-12-15T13:50:04Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-08T07:48:14.234726Z","submitted_at":"2024-12-15T13:50:04Z","title":"A one-dimensional planar Besicovitch-type set"},"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 1 inbound Pith citation observation for arXiv:2412.11190."}