{"as_of":"2026-08-07T06:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:997825a5dbadd4a7df84a9acc9a8daee0982e08f482dc13debf524d44884e236","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":"2026-08-07T06:34:17.273281+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":"2026-08-02T05:39:59.135135Z","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":[{"citation":{"cited_paper":{"arxiv_id":"1501.02155","last_updated":"2015-01-09T14:32:24Z","snapshot_observed_at":"2026-07-06T04:05:47.563936Z","submitted_at":"2015-01-09T14:32:24Z","title":"A formal proof of the Kepler conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1501.02155","snapshot_observed_at":"2026-08-02T05:39:59.135135Z","title":"A formal proof of the","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13292","last_updated":"2026-08-05T04:34:27Z","snapshot_observed_at":"2026-08-07T06:26:20.852550Z","submitted_at":"2026-07-14T21:58:52Z","title":"Theory-Level Autoformalization: From Isolated Statements to Unified Formal Knowledge Bases","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-02T05:39:59.135135Z"},"links":{"cited_paper":"/paper/1501.02155","citing_paper":"/paper/2607.13292"},"observation_digest":"sha256:dbdd0092001e891149a037d78e1d403718b338e48d124bdaa86ad644fd07371d","observation_id":"98fb268e-5c82-4e0c-b9bc-459455313ca1","resolution":{"observed_at":"2026-08-02T05:39:59.135135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1501.02155/citation-record","integrity":"/paper/1501.02155/integrity","json":"/paper/1501.02155/citation-record.json","paper":"/paper/1501.02155"},"outbound":[],"paper":{"arxiv_id":"1501.02155","last_updated":"2015-01-09T14:32:24Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-07-06T04:05:47.563936Z","submitted_at":"2015-01-09T14:32:24Z","title":"A formal proof of the Kepler conjecture"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1501.02155."}