{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:X2MFQWXTBSQDX6V7WVN5CEHDMV","short_pith_number":"pith:X2MFQWXT","schema_version":"1.0","canonical_sha256":"be98585af30ca03bfabfb55bd110e3654fb0cd5f4477bc88b943484f94bfeb6a","source":{"kind":"arxiv","id":"2203.16543","version":2},"attestation_state":"computed","paper":{"title":"Proofs of network quantum nonlocality in continuous families of distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro Pozas-Kerstjens, Marc-Olivier Renou, Nicolas Gisin","submitted_at":"2022-03-30T18:00:00Z","abstract_excerpt":"The study of nonlocality in scenarios that depart from the bipartite Einstein-Podolsky-Rosen setup is allowing to uncover many fundamental features of quantum mechanics. Recently, an approach to building network-local models based on machine learning lead to the conjecture that the family of quantum triangle distributions of [arXiv:1905.04902] did not admit triangle-local models in a larger range than the original proof. We prove part of this conjecture in the affirmative. Our approach consists in reducing the family of original, four-outcome distributions to families of binary-outcome ones, a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2203.16543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-03-30T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"2c8cab35eba992ff34bb9a57a9d93a7f24207149bad9fb0eec4185c571b5dc5f","abstract_canon_sha256":"d729ab5a028f10b786bd70c2f2d71f837db161e3cc112983ce27f86e92606af0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:46:51.436971Z","signature_b64":"pL4Xwj/I6qXjQZchx2OU3/S5o2IOiIegjWMBSds93UZtVGLvTCbenc4ipZMT3jcwqFVrfpcpY3hOYYsDsn2WCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be98585af30ca03bfabfb55bd110e3654fb0cd5f4477bc88b943484f94bfeb6a","last_reissued_at":"2026-07-05T05:46:51.436441Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:46:51.436441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proofs of network quantum nonlocality in continuous families of distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro Pozas-Kerstjens, Marc-Olivier Renou, Nicolas Gisin","submitted_at":"2022-03-30T18:00:00Z","abstract_excerpt":"The study of nonlocality in scenarios that depart from the bipartite Einstein-Podolsky-Rosen setup is allowing to uncover many fundamental features of quantum mechanics. Recently, an approach to building network-local models based on machine learning lead to the conjecture that the family of quantum triangle distributions of [arXiv:1905.04902] did not admit triangle-local models in a larger range than the original proof. We prove part of this conjecture in the affirmative. Our approach consists in reducing the family of original, four-outcome distributions to families of binary-outcome ones, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.16543","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.16543/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2203.16543","created_at":"2026-07-05T05:46:51.436514+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.16543v2","created_at":"2026-07-05T05:46:51.436514+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.16543","created_at":"2026-07-05T05:46:51.436514+00:00"},{"alias_kind":"pith_short_12","alias_value":"X2MFQWXTBSQD","created_at":"2026-07-05T05:46:51.436514+00:00"},{"alias_kind":"pith_short_16","alias_value":"X2MFQWXTBSQDX6V7","created_at":"2026-07-05T05:46:51.436514+00:00"},{"alias_kind":"pith_short_8","alias_value":"X2MFQWXT","created_at":"2026-07-05T05:46:51.436514+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2503.16654","citing_title":"Local models and Bell inequalities for the minimal triangle network","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00981","citing_title":"The minimal example of quantum network Bell nonlocality","ref_index":48,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV","json":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV.json","graph_json":"https://pith.science/api/pith-number/X2MFQWXTBSQDX6V7WVN5CEHDMV/graph.json","events_json":"https://pith.science/api/pith-number/X2MFQWXTBSQDX6V7WVN5CEHDMV/events.json","paper":"https://pith.science/paper/X2MFQWXT"},"agent_actions":{"view_html":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV","download_json":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV.json","view_paper":"https://pith.science/paper/X2MFQWXT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.16543&json=true","fetch_graph":"https://pith.science/api/pith-number/X2MFQWXTBSQDX6V7WVN5CEHDMV/graph.json","fetch_events":"https://pith.science/api/pith-number/X2MFQWXTBSQDX6V7WVN5CEHDMV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV/action/storage_attestation","attest_author":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV/action/author_attestation","sign_citation":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV/action/citation_signature","submit_replication":"https://pith.science/pith/X2MFQWXTBSQDX6V7WVN5CEHDMV/action/replication_record"}},"created_at":"2026-07-05T05:46:51.436514+00:00","updated_at":"2026-07-05T05:46:51.436514+00:00"}