{"as_of":"2026-08-08T09:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:899f710dcbb3298560f44ec69327f510c9deb38dea770925754bd31d6ac486bd","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":"2026-08-08T06:32:00.761636+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":"2026-08-05T14:37:08.562947Z","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":"2026-08-05T14:37:09.048903Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1210.5048","last_updated":"2013-06-22T13:20:59Z","snapshot_observed_at":"2026-07-06T02:57:57.703235Z","submitted_at":"2012-10-18T08:07:03Z","title":"Convergence of SDP hierarchies for polynomial optimization on the hypersphere","version":2},"cited_work":{"arxiv_id":"1210.5048","doi":null,"metadata_source":"pith","pith_arxiv_id":"1210.5048","snapshot_observed_at":"2026-08-05T14:37:09.048903Z","title":"Convergence of SDP hierarchies for polynomial optimization on the hypersphere","venue":"math.OC","work_id":"0fd575a5-5f98-474f-b770-0dbf5764ef19","year":2012},"citing_paper":{"arxiv_id":"2508.21327","last_updated":"2025-08-29T05:02:07Z","snapshot_observed_at":"2026-08-06T06:27:59.421119Z","submitted_at":"2025-08-29T05:02:07Z","title":"Some Applications and Limitations of Convex Optimization Hierarchies for Discrete and Continuous Optimization Problems","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-05T14:37:08.562947Z"},"links":{"cited_paper":"/paper/1210.5048","citing_paper":"/paper/2508.21327"},"observation_digest":"sha256:4b8ed525aac0983ff84f86dfa410e63323d92bfeb6a9103e98f0ce2ba51a4db7","observation_id":"2330a12f-7aaf-4439-a2df-80eec0e4ef51","resolution":{"observed_at":"2026-08-05T14:37:09.053953Z","resolver_source":"local_arxiv","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":"1210.5048","last_updated":"2013-06-22T13:20:59Z","snapshot_observed_at":"2026-07-06T02:57:57.703235Z","submitted_at":"2012-10-18T08:07:03Z","title":"Convergence of SDP hierarchies for polynomial optimization on the hypersphere","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.5048","snapshot_observed_at":"2026-08-04T04:05:19.798935Z","title":"Convergence of sdp hierarchies for polynomial optimization on the hypersphere","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.02594","last_updated":"2026-08-03T17:58:00Z","snapshot_observed_at":"2026-08-07T08:25:42.713795Z","submitted_at":"2026-08-03T17:58:00Z","title":"An Argmax Principle for Sum-of-Squares Relaxations on the Sphere","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-04T04:05:19.798935Z"},"links":{"cited_paper":"/paper/1210.5048","citing_paper":"/paper/2608.02594"},"observation_digest":"sha256:12db8a1476613f1a58e920a698c7e6517cfac5fb1b8f3b942dcf80ed495f18ae","observation_id":"ed902130-007d-407a-a98c-c44e2526bd2c","resolution":{"observed_at":"2026-08-04T04:05:19.798935Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1210.5048/citation-record","integrity":"/paper/1210.5048/integrity","json":"/paper/1210.5048/citation-record.json","paper":"/paper/1210.5048"},"outbound":[],"paper":{"arxiv_id":"1210.5048","last_updated":"2013-06-22T13:20:59Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T02:57:57.703235Z","submitted_at":"2012-10-18T08:07:03Z","title":"Convergence of SDP hierarchies for polynomial optimization on the hypersphere"},"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 2 inbound Pith citation observations for arXiv:1210.5048."}