{"as_of":"2026-08-08T18:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d5b975b9e45eebc8d71679f699bae32d1042fbe62e738938ef221774a201da27","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T08:14:23.951398Z","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":"2410.05025","last_updated":"2024-10-07T13:25:37Z","snapshot_observed_at":"2026-07-31T03:19:53.606408Z","submitted_at":"2024-10-07T13:25:37Z","title":"$\\ell_1$-norm rank-one symmetric matrix factorization has no spurious second-order stationary points","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05025","snapshot_observed_at":"2026-08-01T08:14:23.951398Z","title":"Guan and A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21258","last_updated":"2026-07-23T12:30:39Z","snapshot_observed_at":"2026-08-05T02:53:20.427519Z","submitted_at":"2026-07-23T12:30:39Z","title":"A Gaussian smoothing-based zeroth-order method for Goldstein second-order stationarity","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T08:14:23.951398Z"},"links":{"cited_paper":"/paper/2410.05025","citing_paper":"/paper/2607.21258"},"observation_digest":"sha256:33eedd1094ec9383f5c68c5f64e1bc80ca42fda3487ad5cee18c9a4dcd19752d","observation_id":"9673624b-7ed0-409d-95af-56897262cecb","resolution":{"observed_at":"2026-08-01T08:14:23.951398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05025","last_updated":"2024-10-07T13:25:37Z","snapshot_observed_at":"2026-07-31T03:19:53.606408Z","submitted_at":"2024-10-07T13:25:37Z","title":"$\\ell_1$-norm rank-one symmetric matrix factorization has no spurious second-order stationary points","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05025","snapshot_observed_at":"2026-07-31T23:08:37.243987Z","title":"arXiv preprint arXiv:2410.05025 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24120","last_updated":"2026-07-27T07:59:39Z","snapshot_observed_at":"2026-08-05T06:54:11.237978Z","submitted_at":"2026-07-27T07:59:39Z","title":"On the hardness of deterministic second-order optimization of functions with Lipschitz gradients","version":1},"reference_index":219,"source":"arxiv_source","source_observed_at":"2026-07-31T23:08:37.243987Z"},"links":{"cited_paper":"/paper/2410.05025","citing_paper":"/paper/2607.24120"},"observation_digest":"sha256:2fcb738629a2ac058f1184112a65d802d9302455593c47f8bc9a3af3633da865","observation_id":"87b573f8-0445-44e8-930e-5670833e2fae","resolution":{"observed_at":"2026-07-31T23:08:37.243987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05025","last_updated":"2024-10-07T13:25:37Z","snapshot_observed_at":"2026-07-31T03:19:53.606408Z","submitted_at":"2024-10-07T13:25:37Z","title":"$\\ell_1$-norm rank-one symmetric matrix factorization has no spurious second-order stationary points","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05025","snapshot_observed_at":"2026-07-31T23:09:52.286478Z","title":"Guan and A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.24122","last_updated":"2026-07-27T08:01:40Z","snapshot_observed_at":"2026-08-08T09:44:01.073229Z","submitted_at":"2026-07-27T08:01:40Z","title":"On computing Goldstein approximate second-order stationary points of structured nonsmooth nonconvex programs","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-31T23:09:52.286478Z"},"links":{"cited_paper":"/paper/2410.05025","citing_paper":"/paper/2607.24122"},"observation_digest":"sha256:f8a0c41a6b982a2b695dca98cf1b31bca4120d1018dece795aa6aabc4425b6f1","observation_id":"f8de0ca5-49f5-4591-b3ad-38deb80aec59","resolution":{"observed_at":"2026-07-31T23:09:52.286478Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2410.05025/citation-record","integrity":"/paper/2410.05025/integrity","json":"/paper/2410.05025/citation-record.json","paper":"/paper/2410.05025"},"outbound":[],"paper":{"arxiv_id":"2410.05025","last_updated":"2024-10-07T13:25:37Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-07-31T03:19:53.606408Z","submitted_at":"2024-10-07T13:25:37Z","title":"$\\ell_1$-norm rank-one symmetric matrix factorization has no spurious second-order stationary points"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2410.05025."}