{"as_of":"2026-08-21T03:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b4ffdf2e13e074b9baa61caaa43f3a986b8ccc216580216337d1edd7681cb6eb","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T03:58:57.066087Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T01:54:36.150253Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.13762","snapshot_observed_at":"2026-08-02T01:54:36.150253Z","title":"(7) gives the exact cubic coefficient of the quantum advantage","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.14569","last_updated":"2026-07-16T04:52:11Z","snapshot_observed_at":"2026-08-06T20:05:46.182838Z","submitted_at":"2026-07-16T04:52:11Z","title":"No Finite NPA Level Characterizes the Complete Quantum Set in the Simplest Bell Scenario","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T01:54:36.150253Z"},"links":{"cited_paper":"/paper/2607.13762","citing_paper":"/paper/2607.14569"},"observation_digest":"sha256:71cf2550632f600e403ffbfd3f3b5a318b419b584f71f5d5ab8a020d2b39e5ae","observation_id":"0b777aae-c95a-4887-86aa-d822933cbc5e","resolution":{"observed_at":"2026-08-02T01:54:36.150253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.13762/citation-record","integrity":"/paper/2607.13762/integrity","json":"/paper/2607.13762/citation-record.json","paper":"/paper/2607.13762"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.08743","last_updated":"2025-05-13T19:57:16Z","snapshot_observed_at":"2026-08-16T13:52:45.205409Z","submitted_at":"2024-05-14T16:31:06Z","title":"Self-testing tilted strategies for maximal loophole-free nonlocality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.08743","snapshot_observed_at":"2026-08-02T03:58:56.130616Z","title":"Gigena, E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.130616Z"},"links":{"cited_paper":"/paper/2405.08743","citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:b870e7d352ac319636216f31bc4ecf8183603cb1e4acd72fc59b362f33a89060","observation_id":"9e2776e0-61c4-4fca-a1dc-8bd29548f463","resolution":{"observed_at":"2026-08-02T03:58:56.130616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:56.234213Z","title":"Navascu´ es, S","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.234213Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:75bd48dafa338687cb20016cf9fdceb32fa5b1efac29ac825664ca551f140f85","observation_id":"ac589d40-78c3-427a-91e7-1bbb74976650","resolution":{"observed_at":"2026-08-02T03:58:56.234213Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:56.316842Z","title":"Pakhunov,A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional, companion note (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.316842Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:022eaf3d0cf50962452c32b03eb02e5d394c6fade852bf5de76dcf078c5b398e","observation_id":"676dcf85-81e2-4c02-a779-dc2631c5ebd1","resolution":{"observed_at":"2026-08-02T03:58:56.316842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:56.400083Z","title":"Pakhunov,A certified separation of the almost-quantum set from the quantum set in the minimal Bell scenario, companion note (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.400083Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:c8af95b51eb79f58722c3ff6e6061bc45f578275c9612b7893bd3f4169d1b06e","observation_id":"d655053c-66f3-4559-81d7-43df16f297ff","resolution":{"observed_at":"2026-08-02T03:58:56.400083Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:56.490638Z","title":"Barizien, J.-D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.490638Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:f880dcb9e23160f3819b4aa95cf47d88d71114489edb47f194d4fe68d1833039","observation_id":"3d0754dd-17e2-4001-b42a-4f9ce6770198","resolution":{"observed_at":"2026-08-02T03:58:56.490638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:56.606162Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.606162Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:03d1c07fb573ebe1b9ede80aabd29888269bc5b3d29a721bace1a2c41eb07b7f","observation_id":"99917663-3382-4f55-ba70-4eafb2e3151a","resolution":{"observed_at":"2026-08-02T03:58:56.606162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1206.0319","last_updated":"2013-04-15T05:46:28Z","snapshot_observed_at":"2026-08-15T00:58:09.864746Z","submitted_at":"2012-06-01T22:11:12Z","title":"Optimality Conditions and Finite Convergence of Lasserre's Hierarchy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1206.0319","snapshot_observed_at":"2026-08-02T03:58:56.681079Z","title":"Nie,Optimality conditions and finite convergence of Lasserre’s hierarchy, Math","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.681079Z"},"links":{"cited_paper":"/paper/1206.0319","citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:d9f7237db75ef7da11249253636e4019208bb57c7b32604527b056de00c66a6b","observation_id":"5145165f-4a53-4601-9760-433191c0f3e2","resolution":{"observed_at":"2026-08-02T03:58:56.681079Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:56.736810Z","title":"Marshall,Representations of non-negative polynomials, degree bounds and applications to optimization, Canad","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.736810Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:e74e075ae589eba411fa518d109191f7251fe5b8dee78707a8a4df9b6fc505af","observation_id":"1d88d997-a11a-4878-a8b0-20be156383b8","resolution":{"observed_at":"2026-08-02T03:58:56.736810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1504.06960","last_updated":"2015-04-27T08:04:56Z","snapshot_observed_at":"2026-08-15T19:23:12.346006Z","submitted_at":"2015-04-27T08:04:56Z","title":"Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1504.06960","snapshot_observed_at":"2026-08-02T03:58:56.812084Z","title":"Bamps, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.812084Z"},"links":{"cited_paper":"/paper/1504.06960","citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:aeddb8e1c43ac94468ea46c3278280cd6d4e507911ff42ede80d9b88595f7db7","observation_id":"e776d498-f8a8-4f68-9de5-71d83b2aae2c","resolution":{"observed_at":"2026-08-02T03:58:56.812084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.12613","last_updated":"2024-01-23T10:12:17Z","snapshot_observed_at":"2026-08-16T23:38:24.936129Z","submitted_at":"2024-01-23T10:12:17Z","title":"On the hardness of deciding the finite convergence of Lasserre hierarchies","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.12613","snapshot_observed_at":"2026-08-02T03:58:56.908467Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.908467Z"},"links":{"cited_paper":"/paper/2401.12613","citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:f2fc5c3627abf1ca9b65f9b3ef1d9abe5dcba97517b988d71cb6ed6d2054fe8b","observation_id":"e124b505-776e-465b-ab64-ae116d33a7bf","resolution":{"observed_at":"2026-08-02T03:58:56.908467Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.06005","last_updated":"2024-08-09T09:14:54Z","snapshot_observed_at":"2026-08-14T17:59:11.334751Z","submitted_at":"2018-11-14T19:05:20Z","title":"Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.06005","snapshot_observed_at":"2026-08-02T03:58:56.998110Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:56.998110Z"},"links":{"cited_paper":"/paper/1811.06005","citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:b923d60f83d3b5b001579948f36f105f20829550aea9030d5f72da7cce0e080b","observation_id":"6a980701-39f0-42a3-a855-b3731bffcecb","resolution":{"observed_at":"2026-08-02T03:58:56.998110Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:58:57.066087Z","title":"Scheiderer,Sums of squares on real algebraic surfaces, Manuscripta Math.119, 395 (2006);Non-existence of degree bounds for weighted sums of squares representations, J","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T03:58:57.066087Z"},"links":{"citing_paper":"/paper/2607.13762"},"observation_digest":"sha256:48484461d7e00ddd0d081b5718f968a68f8bc5aba66a8fc9908f5e42ce5aed11","observation_id":"81245ef2-1736-4a96-aa2f-3470cfcb7e1e","resolution":{"observed_at":"2026-08-02T03:58:57.066087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.13762","last_updated":"2026-07-15T12:22:23Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-18T03:21:08.642922Z","submitted_at":"2026-07-15T12:22:23Z","title":"No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":12},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2607.13762."}