{"as_of":"2026-08-10T10:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4d71cb41a154c3d14ceb799a4e4ded34215815594c38b22ba4dab633728a610b","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":"2026-08-10T06:31:04.303077+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":"2026-08-06T19:42:26.274491Z","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":"2026-08-06T19:42:26.928341Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.11863","last_updated":"2022-09-23T21:21:44Z","snapshot_observed_at":"2026-08-10T04:20:35.370735Z","submitted_at":"2022-09-23T21:21:44Z","title":"A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces","version":1},"cited_work":{"arxiv_id":"2209.11863","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.11863","snapshot_observed_at":"2026-08-06T19:42:26.928341Z","title":"A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces","venue":"math.DG","work_id":"94500830-ab80-45b5-8aa7-205dd98f7a47","year":2022},"citing_paper":{"arxiv_id":"2507.05159","last_updated":"2025-07-07T16:14:43Z","snapshot_observed_at":"2026-08-07T12:26:25.604629Z","submitted_at":"2025-07-07T16:14:43Z","title":"Neumann scalar determinants on constant curvature disks","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:42:26.274491Z"},"links":{"cited_paper":"/paper/2209.11863","citing_paper":"/paper/2507.05159"},"observation_digest":"sha256:0ef907eaf1f652d8d6c24762089ac765541617696b7e9ffbf04f74abf1226507","observation_id":"5265e0f5-e19e-4dc1-ad24-9e03c7860911","resolution":{"observed_at":"2026-08-06T19:42:27.013557Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2209.11863/citation-record","integrity":"/paper/2209.11863/integrity","json":"/paper/2209.11863/citation-record.json","paper":"/paper/2209.11863"},"outbound":[],"paper":{"arxiv_id":"2209.11863","last_updated":"2022-09-23T21:21:44Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-10T04:20:35.370735Z","submitted_at":"2022-09-23T21:21:44Z","title":"A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2209.11863."}