{"as_of":"2026-08-19T06:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:71b4ee54901b36c4774aa9c8969a0603e3377854209883025adb31d52790fdc5","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":"2026-08-18T06:34:40.430872+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":"2026-08-16T10:49:58.522359Z","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":"2026-08-15T22:02:33.775035Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.20097","last_updated":"2025-05-13T08:50:35Z","snapshot_observed_at":"2026-08-19T01:04:34.219448Z","submitted_at":"2024-09-30T08:49:03Z","title":"Time-insensitive nonlocal parabolic Harnack estimates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.20097","snapshot_observed_at":"2026-08-16T10:49:58.522359Z","title":"Po tential theory for nonlocal drift- diﬀusion equations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.522359Z"},"links":{"cited_paper":"/paper/2409.20097","citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:e19f1e0503facb368a37c111260fcaf48f9920abc8edc63135fb22612aaef2a5","observation_id":"03ccff26-c878-4410-997f-e51526382b1d","resolution":{"observed_at":"2026-08-16T10:49:58.522359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.20097","last_updated":"2025-05-13T08:50:35Z","snapshot_observed_at":"2026-08-19T01:04:34.219448Z","submitted_at":"2024-09-30T08:49:03Z","title":"Time-insensitive nonlocal parabolic Harnack estimates","version":2},"cited_work":{"arxiv_id":"2409.20097","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.20097","snapshot_observed_at":"2026-08-15T22:02:33.775035Z","title":"Time-insensitive nonlocal parabolic Harnack estimates","venue":"math.AP","work_id":"d2107c7a-b8fb-4f99-8449-48c146142e70","year":2024},"citing_paper":{"arxiv_id":"2505.08449","last_updated":"2025-05-13T11:24:09Z","snapshot_observed_at":"2026-08-18T22:07:42.580877Z","submitted_at":"2025-05-13T11:24:09Z","title":"Nonnegative solutions to nonlocal parabolic equations","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-15T22:02:33.708911Z"},"links":{"cited_paper":"/paper/2409.20097","citing_paper":"/paper/2505.08449"},"observation_digest":"sha256:6f084d3649b61669f4588112b7c3fda586382770340e408b6c0e2ec31cd78689","observation_id":"c8f230e5-497c-49c8-bfe0-4f792578f9c3","resolution":{"observed_at":"2026-08-15T22:02:33.778716Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.20097/citation-record","integrity":"/paper/2409.20097/integrity","json":"/paper/2409.20097/citation-record.json","paper":"/paper/2409.20097"},"outbound":[],"paper":{"arxiv_id":"2409.20097","last_updated":"2025-05-13T08:50:35Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-19T01:04:34.219448Z","submitted_at":"2024-09-30T08:49:03Z","title":"Time-insensitive nonlocal parabolic Harnack estimates"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2409.20097."}