{"as_of":"2026-08-14T06:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a1cbc689c6571cab2b12b49ab86ee9c7c9aaaaf61655a5a0f70a7ddbe6301105","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":"2026-08-13T06:32:02.005865+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":"2026-07-11T11:28:48.019384Z","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":"2506.19555","last_updated":"2025-06-24T12:07:17Z","snapshot_observed_at":"2026-08-10T15:30:22.455224Z","submitted_at":"2025-06-24T12:07:17Z","title":"Existence of a constant-mean-curvature hypertorus in \\(S^4\\) via computer assistance","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.19555","snapshot_observed_at":"2026-07-11T11:28:48.019384Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.04917","last_updated":"2026-07-06T10:47:24Z","snapshot_observed_at":"2026-08-06T14:02:03.278078Z","submitted_at":"2026-07-06T10:47:24Z","title":"New Explicit Eigenfunctions of the stability operator on some minimal hypersurfaces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-11T11:28:48.019384Z"},"links":{"cited_paper":"/paper/2506.19555","citing_paper":"/paper/2607.04917"},"observation_digest":"sha256:522c661ca809ee01b14fc31297ec7d11b933e2b0bea557b17a1ba091784c24cb","observation_id":"6d74a6df-32bf-4ac1-8bc9-4925c3d4c36e","resolution":{"observed_at":"2026-07-11T11:28:48.019384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.19555/citation-record","integrity":"/paper/2506.19555/integrity","json":"/paper/2506.19555/citation-record.json","paper":"/paper/2506.19555"},"outbound":[],"paper":{"arxiv_id":"2506.19555","last_updated":"2025-06-24T12:07:17Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-10T15:30:22.455224Z","submitted_at":"2025-06-24T12:07:17Z","title":"Existence of a constant-mean-curvature hypertorus in \\(S^4\\) via computer assistance"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2506.19555."}