{"as_of":"2026-08-06T15:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:250a91c8e522907ec97c3e406882fe6a63c7933ec99968d5053794d89b374e58","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":"2026-08-06T06:34:29.942622+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":"2026-08-02T18:43:27.670256Z","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":"2406.02879","last_updated":"2024-06-05T02:53:12Z","snapshot_observed_at":"2026-08-06T12:12:38.118122Z","submitted_at":"2024-06-05T02:53:12Z","title":"Second-order differential operators, stochastic differential equations and Brownian motions on embedded manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.02879","snapshot_observed_at":"2026-08-02T18:43:27.670256Z","title":"Nguyen and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.07133","last_updated":"2026-07-26T16:01:33Z","snapshot_observed_at":"2026-08-06T04:38:09.917150Z","submitted_at":"2026-03-07T09:49:54Z","title":"Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T18:43:27.670256Z"},"links":{"cited_paper":"/paper/2406.02879","citing_paper":"/paper/2603.07133"},"observation_digest":"sha256:64a6a95e91a817481717b9cda3e7ec679fd6f15eb1325b5e13de2b1732e23ea2","observation_id":"3463a4e0-d7dc-4898-a0cc-81e4332eed19","resolution":{"observed_at":"2026-08-02T18:43:27.670256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2406.02879/citation-record","integrity":"/paper/2406.02879/integrity","json":"/paper/2406.02879/citation-record.json","paper":"/paper/2406.02879"},"outbound":[],"paper":{"arxiv_id":"2406.02879","last_updated":"2024-06-05T02:53:12Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T12:12:38.118122Z","submitted_at":"2024-06-05T02:53:12Z","title":"Second-order differential operators, stochastic differential equations and Brownian motions on embedded manifolds"},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2406.02879."}