{"as_of":"2026-08-18T08:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1898100cdf6240fd0d072e76bf57c874023f867f862fee45810f4f6f41b01bda","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":"2026-08-14T10:31:26.994099Z","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":"2026-08-14T10:31:27.026580Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1809.05671","last_updated":"2018-09-15T08:27:56Z","snapshot_observed_at":"2026-08-14T18:28:05.722090Z","submitted_at":"2018-09-15T08:27:56Z","title":"KAM theorem with normal frequencies of finite limit-points for some shallow water equations","version":1},"cited_work":{"arxiv_id":"1809.05671","doi":null,"metadata_source":"pith","pith_arxiv_id":"1809.05671","snapshot_observed_at":"2026-08-14T10:31:27.026580Z","title":"KAM theorem with normal frequencies of finite limit-points for some shallow water equations","venue":"math.DS","work_id":"0bc3f887-921f-4520-86df-4033e64b6691","year":2018},"citing_paper":{"arxiv_id":"1908.11072","last_updated":"2019-08-29T07:05:42Z","snapshot_observed_at":"2026-08-14T10:23:09.122525Z","submitted_at":"2019-08-29T07:05:42Z","title":"A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T10:31:26.994099Z"},"links":{"cited_paper":"/paper/1809.05671","citing_paper":"/paper/1908.11072"},"observation_digest":"sha256:5a9c7a69cc76816f79e09ff3cff0e1e7af45e771b9489de4e9bf94b9862adc92","observation_id":"1cb95089-1df0-4d46-bad9-5886d1e3ce7b","resolution":{"observed_at":"2026-08-14T10:31:27.033102Z","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/1809.05671/citation-record","integrity":"/paper/1809.05671/integrity","json":"/paper/1809.05671/citation-record.json","paper":"/paper/1809.05671"},"outbound":[],"paper":{"arxiv_id":"1809.05671","last_updated":"2018-09-15T08:27:56Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-14T18:28:05.722090Z","submitted_at":"2018-09-15T08:27:56Z","title":"KAM theorem with normal frequencies of finite limit-points for some shallow water equations"},"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:1809.05671."}