{"as_of":"2026-08-17T08:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26ad21f3b9d33820896880f569f8558ac8b801bad5655c296dcaccad8a142d5f","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":"2026-08-17T06:30:58.91139+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":"2026-08-14T12:54:20.874659Z","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":"2026-08-14T12:54:20.989235Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1805.10075","last_updated":"2018-05-25T10:52:07Z","snapshot_observed_at":"2026-08-14T19:11:12.341845Z","submitted_at":"2018-05-25T10:52:07Z","title":"Extremal domains and P\\'{o}lya-type inequalities for the Robin Laplacian on rectangles and unions of rectangles","version":1},"cited_work":{"arxiv_id":"1805.10075","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.10075","snapshot_observed_at":"2026-08-14T12:54:20.989235Z","title":"Extremal domains and P\\'{o}lya-type inequalities for the Robin Laplacian on rectangles and unions of rectangles","venue":"math.AP","work_id":"5b107c52-a6c1-4e39-91a4-ba4f6e15e78a","year":2018},"citing_paper":{"arxiv_id":"1908.06483","last_updated":"2019-08-18T17:13:13Z","snapshot_observed_at":"2026-08-17T02:47:27.827149Z","submitted_at":"2019-08-18T17:13:13Z","title":"Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:54:20.874659Z"},"links":{"cited_paper":"/paper/1805.10075","citing_paper":"/paper/1908.06483"},"observation_digest":"sha256:51fb457b2894f3d8ab3f9e13ece281afeef973dea160f0dfcae2dd9ae81c0c2a","observation_id":"c17c1818-c440-44d9-a171-33bc62bc1fdf","resolution":{"observed_at":"2026-08-14T12:54:20.994205Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1805.10075/citation-record","integrity":"/paper/1805.10075/integrity","json":"/paper/1805.10075/citation-record.json","paper":"/paper/1805.10075"},"outbound":[],"paper":{"arxiv_id":"1805.10075","last_updated":"2018-05-25T10:52:07Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T19:11:12.341845Z","submitted_at":"2018-05-25T10:52:07Z","title":"Extremal domains and P\\'{o}lya-type inequalities for the Robin Laplacian on rectangles and unions of rectangles"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1805.10075."}