{"as_of":"2026-08-08T15:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:163ef3ff3fed60eca57ee667c15b3e3a9d1de31b95dc08090fdb70e2313e92bc","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T05:59:01.516886Z","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":"2026-08-07T06:16:28.064256Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.01971","last_updated":"2025-03-24T00:20:35Z","snapshot_observed_at":"2026-08-08T11:32:51.258258Z","submitted_at":"2025-03-24T00:20:35Z","title":"Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions","version":1},"cited_work":{"arxiv_id":"2504.01971","doi":"10.48550/arxiv.2504.01971","metadata_source":"pith","pith_arxiv_id":"2504.01971","snapshot_observed_at":"2026-08-07T06:16:28.064256Z","title":"Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions","venue":"math.CA","work_id":"15c85c44-9ea6-4d7d-b982-0580bc7ab9d7","year":2025},"citing_paper":{"arxiv_id":"2506.06827","last_updated":"2025-06-07T15:10:05Z","snapshot_observed_at":"2026-08-07T22:26:41.211041Z","submitted_at":"2025-06-07T15:10:05Z","title":"Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:01.516886Z"},"links":{"cited_paper":"/paper/2504.01971","citing_paper":"/paper/2506.06827"},"observation_digest":"sha256:ef17c70f24be85ccf0d53678cf8b98c50667616362eb84ac54b2737c48a0803c","observation_id":"49a09592-9c59-434c-a052-703cd508f50e","resolution":{"observed_at":"2026-08-07T05:59:06.008149Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.01971/citation-record","integrity":"/paper/2504.01971/integrity","json":"/paper/2504.01971/citation-record.json","paper":"/paper/2504.01971"},"outbound":[],"paper":{"arxiv_id":"2504.01971","last_updated":"2025-03-24T00:20:35Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-08T11:32:51.258258Z","submitted_at":"2025-03-24T00:20:35Z","title":"Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2504.01971."}