{"as_of":"2026-08-18T17:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:532fc9793a0ad319c2fd8c9d21dabcee4a654d59494deff684de05facb3f8c88","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":"2026-08-18T06:34:40.430872+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":"2026-08-10T20:42:07.436423Z","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":"2026-08-10T20:42:07.503443Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.02098","last_updated":"2024-06-04T08:29:07Z","snapshot_observed_at":"2026-08-18T11:10:52.719922Z","submitted_at":"2024-06-04T08:29:07Z","title":"Blow-up of solutions to semilinear wave equations with spatial derivatives","version":1},"cited_work":{"arxiv_id":"2406.02098","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.02098","snapshot_observed_at":"2026-08-10T20:42:07.503443Z","title":"Blow-up of solutions to semilinear wave equations with spatial derivatives","venue":"math.AP","work_id":"40ee8e1a-57d3-498f-a9a3-325a4a881431","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.436423Z"},"links":{"cited_paper":"/paper/2406.02098","citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:182dc51d018d99afd3dda6c77b4ed844b113a7102e6038c2bf0d4863a99f2b44","observation_id":"893752c8-11d6-431b-b769-9ccfa88799a4","resolution":{"observed_at":"2026-08-10T20:42:07.512481Z","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/2406.02098/citation-record","integrity":"/paper/2406.02098/integrity","json":"/paper/2406.02098/citation-record.json","paper":"/paper/2406.02098"},"outbound":[],"paper":{"arxiv_id":"2406.02098","last_updated":"2024-06-04T08:29:07Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-18T11:10:52.719922Z","submitted_at":"2024-06-04T08:29:07Z","title":"Blow-up of solutions to semilinear wave equations with spatial derivatives"},"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 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2406.02098."}