{"as_of":"2026-08-13T18:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cc3699e519253a8bdd0b78666584ed0cb6d3543ea24df844c0f80e3008abb092","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":"2026-08-13T06:32:02.005865+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":"2026-07-31T21:11:40.803538Z","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":"2211.05609","last_updated":"2022-11-16T06:12:58Z","snapshot_observed_at":"2026-08-13T14:18:16.714689Z","submitted_at":"2022-11-10T14:30:31Z","title":"Optimal estimate of field concentration between multiscale nearly-touching inclusions for 3-D Helmholtz system","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.05609","snapshot_observed_at":"2026-07-31T21:11:40.803538Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.24204","last_updated":"2026-07-27T09:29:05Z","snapshot_observed_at":"2026-07-31T21:11:38.453452Z","submitted_at":"2026-07-27T09:29:05Z","title":"Non-singular hotspots between closely spaced high-index nanoparticles","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T21:11:40.803538Z"},"links":{"cited_paper":"/paper/2211.05609","citing_paper":"/paper/2607.24204"},"observation_digest":"sha256:9ec4372c27f75f5b054ab8e980584978123d1f4fe1088c84539126f62ae5f8e3","observation_id":"a4afc8a6-4b4a-4a81-aa5d-93630b4e6734","resolution":{"observed_at":"2026-07-31T21:11:40.803538Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2211.05609/citation-record","integrity":"/paper/2211.05609/integrity","json":"/paper/2211.05609/citation-record.json","paper":"/paper/2211.05609"},"outbound":[],"paper":{"arxiv_id":"2211.05609","last_updated":"2022-11-16T06:12:58Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T14:18:16.714689Z","submitted_at":"2022-11-10T14:30:31Z","title":"Optimal estimate of field concentration between multiscale nearly-touching inclusions for 3-D Helmholtz 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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2211.05609."}