{"as_of":"2026-08-19T20:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d6e1a27b4074aa41724895d548b4cdd4984f4753d02f449b45c5fd7b93cc9612","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":"2026-06-25T22:56:42.387560Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T18:20:04.388970Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1302.4647","last_updated":"2013-02-19T15:40:45Z","snapshot_observed_at":"2026-08-15T00:28:14.336392Z","submitted_at":"2013-02-19T15:40:45Z","title":"A generalization of Combinatorial Nullstellensatz","version":1},"cited_work":{"arxiv_id":"1302.4647","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1302.4647","snapshot_observed_at":"2026-07-04T18:20:04.388970Z","title":"A generalization of","venue":null,"work_id":"8f576b3f-44ca-4833-bf35-f3fae7127214","year":null},"citing_paper":{"arxiv_id":"2606.24739","last_updated":"2026-06-23T16:01:43Z","snapshot_observed_at":"2026-08-08T04:57:24.018318Z","submitted_at":"2026-06-23T16:01:43Z","title":"On converse invariant trees of diameter four","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-25T22:56:42.387560Z"},"links":{"cited_paper":"/paper/1302.4647","citing_paper":"/paper/2606.24739"},"observation_digest":"sha256:8b49822b3130ca21e7785dd21cc50b930778dd1617182ecc273c3ac40fcadcda","observation_id":"258abc45-aff7-439c-8f19-a1f322705edf","resolution":{"observed_at":"2026-07-04T18:20:04.391688Z","resolver_source":"arxiv_id","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/1302.4647/citation-record","integrity":"/paper/1302.4647/integrity","json":"/paper/1302.4647/citation-record.json","paper":"/paper/1302.4647"},"outbound":[],"paper":{"arxiv_id":"1302.4647","last_updated":"2013-02-19T15:40:45Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-15T00:28:14.336392Z","submitted_at":"2013-02-19T15:40:45Z","title":"A generalization of Combinatorial Nullstellensatz"},"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 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1302.4647."}