{"as_of":"2026-08-16T00:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3dc4e81d519d052c0674a11323ccdbf1e721d5dd736ac9d6f0b2c91146dbfc7a","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":"2026-08-15T06:32:42.880941+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":"2026-08-14T11:43:19.871851Z","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":"2026-08-14T11:43:20.594178Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2007.07024","last_updated":"2023-06-22T19:22:14Z","snapshot_observed_at":"2026-08-15T18:19:45.120156Z","submitted_at":"2020-07-14T13:32:39Z","title":"Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint","version":4},"cited_work":{"arxiv_id":"2007.07024","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.07024","snapshot_observed_at":"2026-08-14T11:43:20.594178Z","title":"Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint","venue":"math.AP","work_id":"40e28384-a0df-4f6b-8011-179daec0fb2d","year":2020},"citing_paper":{"arxiv_id":"1908.08482","last_updated":"2019-08-22T16:31:40Z","snapshot_observed_at":"2026-08-15T06:36:28.677027Z","submitted_at":"2019-08-22T16:31:40Z","title":"A mathematical model describing the localization and spread of influenza A virus infection within the human respiratory tract","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T11:43:19.871851Z"},"links":{"cited_paper":"/paper/2007.07024","citing_paper":"/paper/1908.08482"},"observation_digest":"sha256:362b8b7bf4e8f8247dc8c80fc5f3c3aa57b1af6b97e21eb3499289e3037dc868","observation_id":"b5a77ded-89e9-47d7-b40a-93d8693790d9","resolution":{"observed_at":"2026-08-14T11:43:20.601521Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2007.07024/citation-record","integrity":"/paper/2007.07024/integrity","json":"/paper/2007.07024/citation-record.json","paper":"/paper/2007.07024"},"outbound":[],"paper":{"arxiv_id":"2007.07024","last_updated":"2023-06-22T19:22:14Z","latest_version":4,"primary_category":"math.AP","snapshot_observed_at":"2026-08-15T18:19:45.120156Z","submitted_at":"2020-07-14T13:32:39Z","title":"Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2007.07024."}