{"as_of":"2026-08-09T23:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f2ad184363d118e383358710428074ed28723348c41397348d31757c2e3b72d6","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:40:59.592839Z","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":"2026-07-02T08:26:48.572153Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.04417","last_updated":"2025-01-15T11:45:31Z","snapshot_observed_at":"2026-08-09T18:28:30.791191Z","submitted_at":"2024-08-08T12:44:48Z","title":"An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.04417","snapshot_observed_at":"2026-08-07T14:40:59.592839Z","title":"An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.18580","last_updated":"2026-06-03T22:19:35Z","snapshot_observed_at":"2026-08-07T14:27:07.851029Z","submitted_at":"2025-05-24T08:09:17Z","title":"Convergence rates for polynomial optimization on set products","version":4},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T14:40:59.592839Z"},"links":{"cited_paper":"/paper/2408.04417","citing_paper":"/paper/2505.18580"},"observation_digest":"sha256:7982d4edd92cee19af23e3dad186fa47d350dbae34089cbc0665de067284ed66","observation_id":"80420d08-0aab-4d39-bf0e-3c03407dc4fc","resolution":{"observed_at":"2026-08-07T14:40:59.592839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.04417","last_updated":"2025-01-15T11:45:31Z","snapshot_observed_at":"2026-08-09T18:28:30.791191Z","submitted_at":"2024-08-08T12:44:48Z","title":"An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization","version":2},"cited_work":{"arxiv_id":"2408.04417","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.04417","snapshot_observed_at":"2026-07-02T08:26:48.572153Z","title":"An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization","venue":null,"work_id":"488cf2bb-ef5d-447c-81b5-f22ecb845a88","year":2026},"citing_paper":{"arxiv_id":"2606.04940","last_updated":"2026-06-03T14:30:52Z","snapshot_observed_at":"2026-07-06T23:44:57.208389Z","submitted_at":"2026-06-03T14:30:52Z","title":"Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-28T05:59:12.615897Z"},"links":{"cited_paper":"/paper/2408.04417","citing_paper":"/paper/2606.04940"},"observation_digest":"sha256:56197b108437f279737255207f776a5281c039e215d0cad9869f652bbfffc0ef","observation_id":"4a5dcf71-5a58-4951-8197-35d20a8c015d","resolution":{"observed_at":"2026-07-02T08:26:48.573687Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.04417/citation-record","integrity":"/paper/2408.04417/integrity","json":"/paper/2408.04417/citation-record.json","paper":"/paper/2408.04417"},"outbound":[],"paper":{"arxiv_id":"2408.04417","last_updated":"2025-01-15T11:45:31Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-09T18:28:30.791191Z","submitted_at":"2024-08-08T12:44:48Z","title":"An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial 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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.04417."}