{"as_of":"2026-08-08T19:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:86cb8e44e94cf08bc79b01c879c385e7f45260e12b7042636c5987355f5de702","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:56:29.182428Z","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":"2026-07-02T00:56:24.076229Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.05247","last_updated":"2023-08-31T06:14:04Z","snapshot_observed_at":"2026-07-06T15:40:16.429096Z","submitted_at":"2023-06-08T14:45:42Z","title":"A singular variant of the Falconer distance problem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.05247","snapshot_observed_at":"2026-08-07T05:56:29.182428Z","title":"Borges, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.07251","last_updated":"2025-06-08T18:20:49Z","snapshot_observed_at":"2026-08-07T05:35:39.526178Z","submitted_at":"2025-06-08T18:20:49Z","title":"The Erd\\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:29.182428Z"},"links":{"cited_paper":"/paper/2306.05247","citing_paper":"/paper/2506.07251"},"observation_digest":"sha256:c352b8ec7c1df5ca19cd206004ec48902b13d260a3327dfd2c576945825cd05e","observation_id":"ea203478-5292-46d6-b725-c54a1260ef9d","resolution":{"observed_at":"2026-08-07T05:56:29.182428Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05247","last_updated":"2023-08-31T06:14:04Z","snapshot_observed_at":"2026-07-06T15:40:16.429096Z","submitted_at":"2023-06-08T14:45:42Z","title":"A singular variant of the Falconer distance problem","version":2},"cited_work":{"arxiv_id":"2306.05247","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.05247","snapshot_observed_at":"2026-07-02T00:56:24.076229Z","title":null,"venue":null,"work_id":"2b89899d-7049-4acf-bcce-0c9c68633933","year":2023},"citing_paper":{"arxiv_id":"2607.00153","last_updated":"2026-06-30T20:29:09Z","snapshot_observed_at":"2026-08-02T09:47:09.261112Z","submitted_at":"2026-06-30T20:29:09Z","title":"On volume vectors determined by hypergraphs in thin subsets of Euclidean space","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-02T00:56:04.151381Z"},"links":{"cited_paper":"/paper/2306.05247","citing_paper":"/paper/2607.00153"},"observation_digest":"sha256:69bd05a9d50e2b2f5fe30c5803e7fd693a459049f583cee32cc29e888ef47338","observation_id":"9e6f891b-cf1f-4ffd-aa60-0804e317ffc9","resolution":{"observed_at":"2026-07-02T00:56:24.078247Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05247","last_updated":"2023-08-31T06:14:04Z","snapshot_observed_at":"2026-07-06T15:40:16.429096Z","submitted_at":"2023-06-08T14:45:42Z","title":"A singular variant of the Falconer distance problem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.05247","snapshot_observed_at":"2026-07-14T10:43:46.127616Z","title":"A singular variant of the","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.10574","last_updated":"2026-07-12T05:11:24Z","snapshot_observed_at":"2026-08-02T05:26:24.908276Z","submitted_at":"2026-07-12T05:11:24Z","title":"From weighted paraboloid restriction to $k$-stars and distance graphs","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-14T10:43:46.127616Z"},"links":{"cited_paper":"/paper/2306.05247","citing_paper":"/paper/2607.10574"},"observation_digest":"sha256:3333a55bce631212fb80efc8f54473d17027d7fc28d67dbd55d9cd19806d4481","observation_id":"cebce865-1a1b-4b60-a262-a8249af2a73f","resolution":{"observed_at":"2026-07-14T10:43:46.127616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05247","last_updated":"2023-08-31T06:14:04Z","snapshot_observed_at":"2026-07-06T15:40:16.429096Z","submitted_at":"2023-06-08T14:45:42Z","title":"A singular variant of the Falconer distance problem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.05247","snapshot_observed_at":"2026-08-01T10:16:13.509971Z","title":"Borges, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20416","last_updated":"2026-07-22T17:54:42Z","snapshot_observed_at":"2026-08-08T10:35:20.963880Z","submitted_at":"2026-07-22T17:54:42Z","title":"Pinned nonempty interior and volumes of simplices","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T10:16:13.509971Z"},"links":{"cited_paper":"/paper/2306.05247","citing_paper":"/paper/2607.20416"},"observation_digest":"sha256:b3b4f041017428ef366afdb2276156d4a639121ab602ced67cba0b8baf944e90","observation_id":"4d1a9c7e-a37d-4e09-85b6-a94a23993f82","resolution":{"observed_at":"2026-08-01T10:16:13.509971Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2306.05247/citation-record","integrity":"/paper/2306.05247/integrity","json":"/paper/2306.05247/citation-record.json","paper":"/paper/2306.05247"},"outbound":[],"paper":{"arxiv_id":"2306.05247","last_updated":"2023-08-31T06:14:04Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-07-06T15:40:16.429096Z","submitted_at":"2023-06-08T14:45:42Z","title":"A singular variant of the Falconer distance problem"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2306.05247."}