{"as_of":"2026-08-08T09:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd82c241b0eb92d7e9ddd9482db147ea1a753292a0dc80d36e662a58eee30a49","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:26:27.469671Z","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":"2026-05-25T00:05:06.629792Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1810.02024","last_updated":"2020-06-02T19:34:52Z","snapshot_observed_at":"2026-07-06T07:05:59.910542Z","submitted_at":"2018-10-04T02:03:58Z","title":"Convergence to Second-Order Stationarity for Constrained Non-Convex Optimization","version":2},"cited_work":{"arxiv_id":"1810.02024","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1810.02024","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Convergence to second-order stationarity for constrained non-convex optimization","venue":null,"work_id":"e7df00ad-d9ca-432f-8688-b37e90d18789","year":2018},"citing_paper":{"arxiv_id":"1907.04450","last_updated":"2019-07-09T22:46:41Z","snapshot_observed_at":"2026-07-06T08:06:41.065536Z","submitted_at":"2019-07-09T22:46:41Z","title":"SNAP: Finding Approximate Second-Order Stationary Solutions Efficiently for Non-convex Linearly Constrained Problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-25T00:04:27.970787Z"},"links":{"cited_paper":"/paper/1810.02024","citing_paper":"/paper/1907.04450"},"observation_digest":"sha256:404fa31ef348df5a0837b1165133a0dbfef7d127f2315cce236d2c9a7ae89863","observation_id":"aa916abd-fe68-43d7-81a1-1f7666f2c2b1","resolution":{"observed_at":"2026-05-25T00:05:06.635500Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.02024","last_updated":"2020-06-02T19:34:52Z","snapshot_observed_at":"2026-07-06T07:05:59.910542Z","submitted_at":"2018-10-04T02:03:58Z","title":"Convergence to Second-Order Stationarity for Constrained Non-Convex Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.02024","snapshot_observed_at":"2026-08-07T05:26:27.469671Z","title":"Convergence to second-order station- arity for constrained non-convex optimization.arXiv preprint arXiv:1810.02024, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.08506","last_updated":"2026-07-29T14:35:20Z","snapshot_observed_at":"2026-08-07T05:06:35.127941Z","submitted_at":"2025-06-10T07:04:15Z","title":"Complexity Analysis of Convex Majorization Schemes for Nonconvex Constrained Optimization","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:26:27.469671Z"},"links":{"cited_paper":"/paper/1810.02024","citing_paper":"/paper/2506.08506"},"observation_digest":"sha256:45b4f0aab97d0a7293557548fdfcf52fccb56b6d37ce877173f3f2407f775d34","observation_id":"b6065c6d-0491-4779-a276-9d46561ac752","resolution":{"observed_at":"2026-08-07T05:26:27.469671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.02024","last_updated":"2020-06-02T19:34:52Z","snapshot_observed_at":"2026-07-06T07:05:59.910542Z","submitted_at":"2018-10-04T02:03:58Z","title":"Convergence to Second-Order Stationarity for Constrained Non-Convex Optimization","version":2},"cited_work":{"arxiv_id":"1810.02024","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1810.02024","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Convergence to second-order stationarity for constrained non-convex optimization","venue":null,"work_id":"e7df00ad-d9ca-432f-8688-b37e90d18789","year":2018},"citing_paper":{"arxiv_id":"2604.02747","last_updated":"2026-04-03T05:39:19Z","snapshot_observed_at":"2026-07-31T22:27:20.209029Z","submitted_at":"2026-04-03T05:39:19Z","title":"A Sequential Cubic Programming Method with Second-Order Complexity Guarantees for Equality Constrained Optimization","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-13T19:31:04.454227Z"},"links":{"cited_paper":"/paper/1810.02024","citing_paper":"/paper/2604.02747"},"observation_digest":"sha256:76b8e2d779715a2153acd3c5d285d2c71e587e58df43824214533a64aab19142","observation_id":"826e5dc7-15f2-4f7c-acf9-a64cc9604cea","resolution":{"observed_at":"2026-05-13T19:33:10.196226Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.02024","last_updated":"2020-06-02T19:34:52Z","snapshot_observed_at":"2026-07-06T07:05:59.910542Z","submitted_at":"2018-10-04T02:03:58Z","title":"Convergence to Second-Order Stationarity for Constrained Non-Convex Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.02024","snapshot_observed_at":"2026-08-01T08:14:25.940012Z","title":"Nouiehed, J","venue":null,"work_id":null,"year":2018},"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":38,"source":"pdf_text","source_observed_at":"2026-08-01T08:14:25.940012Z"},"links":{"cited_paper":"/paper/1810.02024","citing_paper":"/paper/2607.21258"},"observation_digest":"sha256:26860034c01879764292a6a6f6190eb27b828e93b899a85a559c88393b6b4906","observation_id":"30c9cec3-1d31-4c42-ae6e-23b4599dbd4e","resolution":{"observed_at":"2026-08-01T08:14:25.940012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1810.02024/citation-record","integrity":"/paper/1810.02024/integrity","json":"/paper/1810.02024/citation-record.json","paper":"/paper/1810.02024"},"outbound":[],"paper":{"arxiv_id":"1810.02024","last_updated":"2020-06-02T19:34:52Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T07:05:59.910542Z","submitted_at":"2018-10-04T02:03:58Z","title":"Convergence to Second-Order Stationarity for Constrained Non-Convex Optimization"},"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 4 inbound Pith citation observations for arXiv:1810.02024."}