{"as_of":"2026-08-08T13:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b29eba6958b78e5a9dde761fc7d618d73f632806788a761e554a8fd102fbf4f1","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":"2026-08-07T05:23:02.787618Z","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":"2026-08-07T05:23:02.866358Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1904.03818","last_updated":"2019-04-08T03:22:36Z","snapshot_observed_at":"2026-07-06T07:44:33.289298Z","submitted_at":"2019-04-08T03:22:36Z","title":"Minimum degree conditions for the existence of cycles of all lengths modulo $k$ in graphs","version":1},"cited_work":{"arxiv_id":"1904.03818","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.03818","snapshot_observed_at":"2026-08-07T05:23:02.866358Z","title":"Minimum degree conditions for the existence of cycles of all lengths modulo $k$ in graphs","venue":"math.CO","work_id":"4e2e6b03-69a9-4929-80bf-123684ff01f1","year":2019},"citing_paper":{"arxiv_id":"2506.08692","last_updated":"2025-06-10T11:08:17Z","snapshot_observed_at":"2026-08-07T05:02:01.243002Z","submitted_at":"2025-06-10T11:08:17Z","title":"A note on two cycles of consecutive even lengths in graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:23:02.787618Z"},"links":{"cited_paper":"/paper/1904.03818","citing_paper":"/paper/2506.08692"},"observation_digest":"sha256:e3bb1c31d8fc1f2de67bb3b1ca03cc28ddcc43f466b1952c8ed14d1a78271404","observation_id":"c90e4070-5dc0-4f45-9acd-1ed256042575","resolution":{"observed_at":"2026-08-07T05:23:02.872214Z","resolver_source":"local_arxiv","status":"verified_exact"},"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/1904.03818/citation-record","integrity":"/paper/1904.03818/integrity","json":"/paper/1904.03818/citation-record.json","paper":"/paper/1904.03818"},"outbound":[],"paper":{"arxiv_id":"1904.03818","last_updated":"2019-04-08T03:22:36Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T07:44:33.289298Z","submitted_at":"2019-04-08T03:22:36Z","title":"Minimum degree conditions for the existence of cycles of all lengths modulo $k$ in graphs"},"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:1904.03818."}