{"as_of":"2026-08-18T17:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0a8f4297d4edf19ebd9749a964905c39005b064568e800f429e7d8824efe5417","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":"2026-08-18T06:34:40.430872+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":"2026-08-15T20:48:39.082154Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-15T20:48:39.844050Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2010.12191","last_updated":"2020-10-28T23:41:00Z","snapshot_observed_at":"2026-08-16T19:11:16.210865Z","submitted_at":"2020-10-23T06:41:56Z","title":"Escape saddle points faster on manifolds via perturbed Riemannian stochastic recursive gradient","version":2},"cited_work":{"arxiv_id":"2010.12191","doi":null,"metadata_source":"pith","pith_arxiv_id":"2010.12191","snapshot_observed_at":"2026-08-15T20:48:39.844050Z","title":"Escape saddle points faster on manifolds via perturbed Riemannian stochastic recursive gradient","venue":"math.OC","work_id":"375797dd-16cb-458c-a2cc-35553e99e743","year":2020},"citing_paper":{"arxiv_id":"2505.12378","last_updated":"2025-05-18T11:46:44Z","snapshot_observed_at":"2026-08-17T12:23:08.499273Z","submitted_at":"2025-05-18T11:46:44Z","title":"Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-15T20:48:39.082154Z"},"links":{"cited_paper":"/paper/2010.12191","citing_paper":"/paper/2505.12378"},"observation_digest":"sha256:557c7165af571e72db7e0ccb2be80e57fbf9d1016caf7c889b9fd9b3c09c6d6e","observation_id":"8f45f2b5-189d-4fd8-a4b9-4f142468c291","resolution":{"observed_at":"2026-08-15T20:48:39.885025Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2010.12191/citation-record","integrity":"/paper/2010.12191/integrity","json":"/paper/2010.12191/citation-record.json","paper":"/paper/2010.12191"},"outbound":[],"paper":{"arxiv_id":"2010.12191","last_updated":"2020-10-28T23:41:00Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-16T19:11:16.210865Z","submitted_at":"2020-10-23T06:41:56Z","title":"Escape saddle points faster on manifolds via perturbed Riemannian stochastic recursive gradient"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2010.12191."}