{"as_of":"2026-08-09T01:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c72e1a2e5739764a941fc8e8d6ac250858fb0937440c60e3db0744c37e5a90f7","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":"2026-08-08T06:32:00.761636+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":"2026-08-04T12:56:26.295334Z","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":"2404.06705","last_updated":"2024-04-10T03:20:54Z","snapshot_observed_at":"2026-07-06T17:58:05.136931Z","submitted_at":"2024-04-10T03:20:54Z","title":"Towards a long-range theory of capillarity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.06705","snapshot_observed_at":"2026-08-04T12:56:26.295334Z","title":"Valdinoci,Towards a long-range theory of capillarity, (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.01647","last_updated":"2026-07-05T12:55:08Z","snapshot_observed_at":"2026-08-04T12:56:18.181127Z","submitted_at":"2025-10-02T04:05:32Z","title":"The weighted isoperimetric inequality and Sobolev inequality outside convex sets","version":4},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T12:56:26.295334Z"},"links":{"cited_paper":"/paper/2404.06705","citing_paper":"/paper/2510.01647"},"observation_digest":"sha256:6f4577b26841eaed52d9ca70a29cd4c95f78fb96f171e4bf7e394384564ec535","observation_id":"f865d90f-c15e-489e-8a26-7a948026cd00","resolution":{"observed_at":"2026-08-04T12:56:26.295334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.06705/citation-record","integrity":"/paper/2404.06705/integrity","json":"/paper/2404.06705/citation-record.json","paper":"/paper/2404.06705"},"outbound":[],"paper":{"arxiv_id":"2404.06705","last_updated":"2024-04-10T03:20:54Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T17:58:05.136931Z","submitted_at":"2024-04-10T03:20:54Z","title":"Towards a long-range theory of capillarity"},"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 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2404.06705."}