{"as_of":"2026-08-08T17:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a2bcd6292872669807b669769a47d64f8c9abe49c8d18dec8b90ac6834df1203","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":"2026-08-07T15:04:14.774588Z","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":"2026-06-28T19:12:35.092947Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2110.01858","last_updated":"2021-10-05T07:50:37Z","snapshot_observed_at":"2026-08-05T00:02:16.150253Z","submitted_at":"2021-10-05T07:50:37Z","title":"KKT Conditions, First-Order and Second-Order Optimization, and Distributed Optimization: Tutorial and Survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.01858","snapshot_observed_at":"2026-08-07T15:04:14.774588Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.16493","last_updated":"2025-05-22T10:25:55Z","snapshot_observed_at":"2026-08-07T14:57:50.021501Z","submitted_at":"2025-05-22T10:25:55Z","title":"Constrained Non-negative Matrix Factorization for Guided Topic Modeling of Minority Topics","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T15:04:14.774588Z"},"links":{"cited_paper":"/paper/2110.01858","citing_paper":"/paper/2505.16493"},"observation_digest":"sha256:477ef89b72e00c4ad96a1a5e1547f72754424b5311fa0af9a07cfe20843ad0b0","observation_id":"9e455ed1-2c87-4ed0-8b37-32d2d795a5f5","resolution":{"observed_at":"2026-08-07T15:04:14.774588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.01858","last_updated":"2021-10-05T07:50:37Z","snapshot_observed_at":"2026-08-05T00:02:16.150253Z","submitted_at":"2021-10-05T07:50:37Z","title":"KKT Conditions, First-Order and Second-Order Optimization, and Distributed Optimization: Tutorial and Survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.01858","snapshot_observed_at":"2026-08-06T19:33:24.131209Z","title":"arXiv preprint arXiv:2110.01858 (2021)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05669","last_updated":"2025-08-26T01:06:01Z","snapshot_observed_at":"2026-08-06T19:18:12.547617Z","submitted_at":"2025-07-08T04:53:21Z","title":"A Fully Adaptive Frank-Wolfe Algorithm for Relatively Smooth Problems and Its Application to Centralized Distributed Optimization","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:33:24.131209Z"},"links":{"cited_paper":"/paper/2110.01858","citing_paper":"/paper/2507.05669"},"observation_digest":"sha256:7b5afa8926c4658efebce0aed97f200898b846313ba364e49852c645ad0fe29d","observation_id":"ea5ed8fe-6b95-45e5-b7e4-65655d1d9831","resolution":{"observed_at":"2026-08-06T19:33:24.131209Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.01858","last_updated":"2021-10-05T07:50:37Z","snapshot_observed_at":"2026-08-05T00:02:16.150253Z","submitted_at":"2021-10-05T07:50:37Z","title":"KKT Conditions, First-Order and Second-Order Optimization, and Distributed Optimization: Tutorial and Survey","version":1},"cited_work":{"arxiv_id":"2110.01858","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2110.01858","snapshot_observed_at":"2026-06-28T19:12:35.092947Z","title":"KKT conditions, first-order and second- order optimization, and distributed optimization: Tuto- rial and survey.arXiv preprint arXiv:2110.01858","venue":null,"work_id":"acfe42a6-4cde-4e46-b4be-da5ddd773a00","year":null},"citing_paper":{"arxiv_id":"2605.02279","last_updated":"2026-05-04T07:11:11Z","snapshot_observed_at":"2026-07-06T23:15:23.301944Z","submitted_at":"2026-05-04T07:11:11Z","title":"Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-08T18:23:05.938250Z"},"links":{"cited_paper":"/paper/2110.01858","citing_paper":"/paper/2605.02279"},"observation_digest":"sha256:90e9d8d2d9e1788c332fc32bd70c75095f481afca1929193ac75176952ed3499","observation_id":"ad21e1e2-b877-4f1a-b094-aba2175204b9","resolution":{"observed_at":"2026-05-09T06:30:44.537995Z","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":"2110.01858","last_updated":"2021-10-05T07:50:37Z","snapshot_observed_at":"2026-08-05T00:02:16.150253Z","submitted_at":"2021-10-05T07:50:37Z","title":"KKT Conditions, First-Order and Second-Order Optimization, and Distributed Optimization: Tutorial and Survey","version":1},"cited_work":{"arxiv_id":"2110.01858","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2110.01858","snapshot_observed_at":"2026-06-28T19:12:35.092947Z","title":"KKT conditions, first-order and second- order optimization, and distributed optimization: Tuto- rial and survey.arXiv preprint arXiv:2110.01858","venue":null,"work_id":"acfe42a6-4cde-4e46-b4be-da5ddd773a00","year":null},"citing_paper":{"arxiv_id":"2606.00738","last_updated":"2026-05-30T14:10:32Z","snapshot_observed_at":"2026-08-02T13:09:12.393810Z","submitted_at":"2026-05-30T14:10:32Z","title":"SORA: Free Second-Order Attacks in Fast Adversarial Training","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-28T19:05:06.136594Z"},"links":{"cited_paper":"/paper/2110.01858","citing_paper":"/paper/2606.00738"},"observation_digest":"sha256:956cd7cd98d015ceb0ab60b1c180ca490cedef68a50ef7cf76c8de3aba52e205","observation_id":"8539f1e0-fc76-496c-b627-c5b95487d697","resolution":{"observed_at":"2026-06-28T19:12:35.094273Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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"}}],"links":{"evidence":"/evidence","html":"/paper/2110.01858/citation-record","integrity":"/paper/2110.01858/integrity","json":"/paper/2110.01858/citation-record.json","paper":"/paper/2110.01858"},"outbound":[],"paper":{"arxiv_id":"2110.01858","last_updated":"2021-10-05T07:50:37Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-05T00:02:16.150253Z","submitted_at":"2021-10-05T07:50:37Z","title":"KKT Conditions, First-Order and Second-Order Optimization, and Distributed Optimization: Tutorial and Survey"},"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:2110.01858."}