{"as_of":"2026-08-02T00:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0b2aa3681a9823cd8baf01ae4b3d1a3a6aa212c6f5dc1a5b9f332c13c2ea04c4","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":"2026-08-01T06:32:01.292127+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/1810.05775/citation-record","integrity":"/paper/1810.05775/integrity","json":"/paper/1810.05775/citation-record.json","paper":"/paper/1810.05775"},"outbound":[],"paper":{"arxiv_id":"1810.05775","last_updated":"2018-10-13T00:49:45Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T07:07:51.031773Z","submitted_at":"2018-10-13T00:49:45Z","title":"The log-Brunn-Minkowski inequality in $\\mathbb{R}^3$"},"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":"2026-08-01T06:32:01.292127+00:00","source":"crossref"},{"observed_at":"2026-08-01T06:31:58.492377+00:00","source":"retraction_watch"}],"thesis":"As of 2 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 0 inbound Pith citation observations for arXiv:1810.05775."}