{"as_of":"2026-08-05T07:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f3b3709a5a2480f72d245351c4c9554186d77d2b513461abd4b1ace1eebe86b1","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":0,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":0,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1808.10163/citation-record","integrity":"/paper/1808.10163/integrity","json":"/paper/1808.10163/citation-record.json","paper":"/paper/1808.10163"},"outbound":[],"paper":{"arxiv_id":"1808.10163","last_updated":"2018-08-30T08:00:50Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-07-06T06:58:14.977348Z","submitted_at":"2018-08-30T08:00:50Z","title":"Chain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras"},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 0 inbound Pith citation observations for arXiv:1808.10163."}