{"as_of":"2026-08-07T19:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9b6cb5e0ec6a863c1d7c0438a7b59c0374937f706d92a7b2dc583048c8f79fed","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":"2026-08-04T21:54:27.857579Z","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":"2026-08-04T21:54:27.923136Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.07990","last_updated":"2023-12-13T09:01:59Z","snapshot_observed_at":"2026-07-06T17:00:57.419755Z","submitted_at":"2023-12-13T09:01:59Z","title":"Convergence of Riemannian Stochastic Gradient Descent on Hadamard Manifold","version":1},"cited_work":{"arxiv_id":"2312.07990","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.07990","snapshot_observed_at":"2026-08-04T21:54:27.923136Z","title":"Convergence of Riemannian Stochastic Gradient Descent on Hadamard Manifold","venue":"math.OC","work_id":"6c772332-4a80-48e0-8606-df8000ae632b","year":2023},"citing_paper":{"arxiv_id":"2509.07779","last_updated":"2026-06-06T13:17:33Z","snapshot_observed_at":"2026-08-04T21:54:26.685094Z","submitted_at":"2025-09-09T14:14:46Z","title":"Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T21:54:27.857579Z"},"links":{"cited_paper":"/paper/2312.07990","citing_paper":"/paper/2509.07779"},"observation_digest":"sha256:fafc2f276412a5b8824034700d810ea5944c64615495336ffc14388780062648","observation_id":"b49924f7-7ee6-4137-8e93-1393f42b8045","resolution":{"observed_at":"2026-08-04T21:54:27.929946Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2312.07990/citation-record","integrity":"/paper/2312.07990/integrity","json":"/paper/2312.07990/citation-record.json","paper":"/paper/2312.07990"},"outbound":[],"paper":{"arxiv_id":"2312.07990","last_updated":"2023-12-13T09:01:59Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T17:00:57.419755Z","submitted_at":"2023-12-13T09:01:59Z","title":"Convergence of Riemannian Stochastic Gradient Descent on Hadamard Manifold"},"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:2312.07990."}