{"as_of":"2026-08-10T07:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c42f4f2ddc13c1c0cdfc74d5fa0ab5daeeb1e78cd8884d0bcb0fcd12f36a1232","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":"2026-08-10T06:31:04.303077+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":"2026-05-23T01:14:07.234227Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-23T01:15:17.123958Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.08873","last_updated":"2025-02-18T09:17:24Z","snapshot_observed_at":"2026-07-06T15:42:48.821577Z","submitted_at":"2023-06-15T06:13:52Z","title":"Optimization on product manifolds under a preconditioned metric","version":3},"cited_work":{"arxiv_id":"2306.08873","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.08873","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7932b6a2-8a25-4448-a1f4-f1a6852ebf02","year":2023},"citing_paper":{"arxiv_id":"2503.04523","last_updated":"2026-05-13T06:00:58Z","snapshot_observed_at":"2026-07-06T20:47:55.740290Z","submitted_at":"2025-03-06T15:09:07Z","title":"First-order methods on bounded-rank tensors converging to stationary points","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-23T01:14:07.234227Z"},"links":{"cited_paper":"/paper/2306.08873","citing_paper":"/paper/2503.04523"},"observation_digest":"sha256:7bb45178068ce4585f9d02dec7b49d33e5845144ba6d2845d1773e08f3869e67","observation_id":"f32fdfef-fbb8-4937-a855-847481f2ca05","resolution":{"observed_at":"2026-05-23T01:15:17.126558Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2306.08873/citation-record","integrity":"/paper/2306.08873/integrity","json":"/paper/2306.08873/citation-record.json","paper":"/paper/2306.08873"},"outbound":[],"paper":{"arxiv_id":"2306.08873","last_updated":"2025-02-18T09:17:24Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T15:42:48.821577Z","submitted_at":"2023-06-15T06:13:52Z","title":"Optimization on product manifolds under a preconditioned metric"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2306.08873."}