{"as_of":"2026-08-20T00:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1a78e75d224c7a33b0bc84dfa9f2781b634f775fb8ce8ecd603d51b1e7315bb0","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":"2026-08-19T06:32:44.657259+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":"2026-08-06T19:49:25.330568Z","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":"2026-08-06T19:49:27.869105Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2008.08153","last_updated":"2020-11-19T03:07:51Z","snapshot_observed_at":"2026-07-06T09:48:12.550290Z","submitted_at":"2020-08-18T20:42:16Z","title":"Height functions associated with closed subschemes","version":2},"cited_work":{"arxiv_id":"2008.08153","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.08153","snapshot_observed_at":"2026-08-06T19:49:27.869105Z","title":"Height functions associated with closed subschemes","venue":"math.NT","work_id":"4ec78f20-2d53-429f-bc82-b2ba54cd815c","year":2020},"citing_paper":{"arxiv_id":"2507.05027","last_updated":"2025-07-07T14:10:01Z","snapshot_observed_at":"2026-08-10T06:42:24.669857Z","submitted_at":"2025-07-07T14:10:01Z","title":"Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:49:25.330568Z"},"links":{"cited_paper":"/paper/2008.08153","citing_paper":"/paper/2507.05027"},"observation_digest":"sha256:a7dd08d4c3b453f0c4a6c1d7f3b02367a47a5434f67fefaf27a1c77cc878dc9d","observation_id":"68fdb1ba-1229-4915-a85f-2bac095ab34e","resolution":{"observed_at":"2026-08-06T19:49:27.997256Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2008.08153/citation-record","integrity":"/paper/2008.08153/integrity","json":"/paper/2008.08153/citation-record.json","paper":"/paper/2008.08153"},"outbound":[],"paper":{"arxiv_id":"2008.08153","last_updated":"2020-11-19T03:07:51Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T09:48:12.550290Z","submitted_at":"2020-08-18T20:42:16Z","title":"Height functions associated with closed subschemes"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2008.08153."}