{"as_of":"2026-08-22T21:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:735b0d65ef6e07199b16af3d660cdb007f9a784f2b182823c3d548b621d72af2","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":"2026-08-22T06:32:14.747728+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":"2026-08-15T20:05:23.649663Z","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":"2026-08-07T12:10:28.934740Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.16731","last_updated":"2025-01-08T01:41:29Z","snapshot_observed_at":"2026-08-18T18:58:06.479588Z","submitted_at":"2024-04-25T16:41:57Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16731","snapshot_observed_at":"2026-08-07T13:10:11.348183Z","title":"Non-asymptotic global convergence analysis of bfgs with the armijo-wolfe line search.arXiv preprint arXiv:2404.16731, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.23081","last_updated":"2025-09-05T02:19:47Z","snapshot_observed_at":"2026-08-10T15:27:55.230768Z","submitted_at":"2025-05-29T04:35:21Z","title":"Gradient Methods with Online Scaling Part I. Theoretical Foundations","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T13:10:11.348183Z"},"links":{"cited_paper":"/paper/2404.16731","citing_paper":"/paper/2505.23081"},"observation_digest":"sha256:7a39853f8c4828827797a260696c0fb2734eeb994d8fda2fec741e56d7f20363","observation_id":"b509697c-f221-4fff-983a-ed592bab0dd8","resolution":{"observed_at":"2026-08-07T13:10:11.348183Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16731","last_updated":"2025-01-08T01:41:29Z","snapshot_observed_at":"2026-08-18T18:58:06.479588Z","submitted_at":"2024-04-25T16:41:57Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search","version":2},"cited_work":{"arxiv_id":"2404.16731","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.16731","snapshot_observed_at":"2026-08-07T12:10:28.934740Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search","venue":"math.OC","work_id":"f1b09060-4a85-4392-8c9d-50ad8c2a9dce","year":2024},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-20T20:08:19.201124Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.629528Z"},"links":{"cited_paper":"/paper/2404.16731","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7e03c5be01761789528d3efa0157be8be010222971bc3b938f9705f464ea83ac","observation_id":"0217d85c-c939-43d5-948d-35994a071e76","resolution":{"observed_at":"2026-08-07T12:10:28.998797Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16731","last_updated":"2025-01-08T01:41:29Z","snapshot_observed_at":"2026-08-18T18:58:06.479588Z","submitted_at":"2024-04-25T16:41:57Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16731","snapshot_observed_at":"2026-08-15T20:05:23.649663Z","title":"Non-asymptotic global convergence analysis of BFGS with the Armijo-Wolfe line search.arXiv preprint arXiv:2404.16731, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13710","last_updated":"2025-06-16T17:19:34Z","snapshot_observed_at":"2026-08-18T18:57:48.213439Z","submitted_at":"2025-06-16T17:19:34Z","title":"Gradient-Normalized Smoothness for Optimization with Approximate Hessians","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T20:05:23.649663Z"},"links":{"cited_paper":"/paper/2404.16731","citing_paper":"/paper/2506.13710"},"observation_digest":"sha256:c95cac3cc75f67b3bbd1a8bcfdbddf16cc784698b3994a18610680068c1a4db2","observation_id":"37893271-1d19-4f92-9637-039828b9bc14","resolution":{"observed_at":"2026-08-15T20:05:23.649663Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.16731/citation-record","integrity":"/paper/2404.16731/integrity","json":"/paper/2404.16731/citation-record.json","paper":"/paper/2404.16731"},"outbound":[],"paper":{"arxiv_id":"2404.16731","last_updated":"2025-01-08T01:41:29Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-18T18:58:06.479588Z","submitted_at":"2024-04-25T16:41:57Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2404.16731."}