{"as_of":"2026-08-20T23:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ab831c1823e151847def41e305e346e83d4a06ae161a2ee50a84f1356796332f","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":"2026-08-20T06:33:59.587034+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":"2026-08-16T10:31:36.130048Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T13:40:44.548857Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.06464","last_updated":"2024-05-24T12:49:32Z","snapshot_observed_at":"2026-08-20T16:15:33.480688Z","submitted_at":"2024-03-11T07:05:08Z","title":"Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System","version":2},"cited_work":{"arxiv_id":"2403.06464","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.06464","snapshot_observed_at":"2026-08-10T13:40:44.548857Z","title":"Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System","venue":"math.AP","work_id":"29d66d5a-b61c-43e8-af9e-3b8894310788","year":2024},"citing_paper":{"arxiv_id":"2501.16275","last_updated":"2025-01-27T18:10:01Z","snapshot_observed_at":"2026-08-15T08:08:04.202758Z","submitted_at":"2025-01-27T18:10:01Z","title":"Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T13:40:44.397572Z"},"links":{"cited_paper":"/paper/2403.06464","citing_paper":"/paper/2501.16275"},"observation_digest":"sha256:926cf80f481cbf995795ee7f2102640b49be34bd9d913eb3d3b56563a597e91c","observation_id":"ec6e2123-4241-4382-963e-c93e6721c89b","resolution":{"observed_at":"2026-08-10T13:40:44.554206Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.06464","last_updated":"2024-05-24T12:49:32Z","snapshot_observed_at":"2026-08-20T16:15:33.480688Z","submitted_at":"2024-03-11T07:05:08Z","title":"Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.06464","snapshot_observed_at":"2026-08-16T10:31:36.130048Z","title":"Existenceofsolutionstoreactioncrossdiffusionsystems","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.18484","last_updated":"2025-04-25T16:51:35Z","snapshot_observed_at":"2026-08-20T05:22:41.108954Z","submitted_at":"2025-04-25T16:51:35Z","title":"On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-16T10:31:36.130048Z"},"links":{"cited_paper":"/paper/2403.06464","citing_paper":"/paper/2504.18484"},"observation_digest":"sha256:0a250eda30f0091fc386b2728d25d6c4a1326de62a728c5e94e098ac119c8324","observation_id":"e12966de-e824-4a48-97ba-680cfda233a0","resolution":{"observed_at":"2026-08-16T10:31:36.130048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.06464/citation-record","integrity":"/paper/2403.06464/integrity","json":"/paper/2403.06464/citation-record.json","paper":"/paper/2403.06464"},"outbound":[],"paper":{"arxiv_id":"2403.06464","last_updated":"2024-05-24T12:49:32Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-20T16:15:33.480688Z","submitted_at":"2024-03-11T07:05:08Z","title":"Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2403.06464."}