{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:OZV4YPRFTCZGSJYGZ5SUM5KRBM","short_pith_number":"pith:OZV4YPRF","schema_version":"1.0","canonical_sha256":"766bcc3e2598b2692706cf654675510b02df1b9e2ead8564cd99d6108f2aa764","source":{"kind":"arxiv","id":"1112.5876","version":2},"attestation_state":"computed","paper":{"title":"Bell inequalities from variable elimination methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adan Cabello, Costantino Budroni","submitted_at":"2011-12-26T18:13:22Z","abstract_excerpt":"Tight Bell inequalities are facets of Pitowsky's correlation polytope and are usually obtained from its extreme points by solving the hull problem. Here we present an alternative method based on a combination of algebraic results on extensions of measures and variable elimination methods, e.g., the Fourier-Motzkin method. Our method is shown to overcome some of the computational difficulties associated with the hull problem in some non-trivial cases. Moreover, it provides an explanation for the arising of only a finite number of families of Bell inequalities in measurement scenarios where one "},"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":"1112.5876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-26T18:13:22Z","cross_cats_sorted":[],"title_canon_sha256":"8b019b052ca2baf55a91796e2ee78c4ddb497c5f958ff595847b4c2e90c69ed0","abstract_canon_sha256":"ba859979e98b897f171f37b604ab4a373fbcd0d027993bce10ab14300d2da24f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:00.563899Z","signature_b64":"GnPotJVi3HIhVhq0b51cxy6mTvDZwoJQ4xDGep1h1Y2khB35gpmYkNcwaknKV/zmBb502CBwGYhAL+rKbC9wDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"766bcc3e2598b2692706cf654675510b02df1b9e2ead8564cd99d6108f2aa764","last_reissued_at":"2026-05-18T01:59:00.563204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:00.563204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bell inequalities from variable elimination methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adan Cabello, Costantino Budroni","submitted_at":"2011-12-26T18:13:22Z","abstract_excerpt":"Tight Bell inequalities are facets of Pitowsky's correlation polytope and are usually obtained from its extreme points by solving the hull problem. Here we present an alternative method based on a combination of algebraic results on extensions of measures and variable elimination methods, e.g., the Fourier-Motzkin method. Our method is shown to overcome some of the computational difficulties associated with the hull problem in some non-trivial cases. Moreover, it provides an explanation for the arising of only a finite number of families of Bell inequalities in measurement scenarios where one "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5876","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":""},"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":"1112.5876","created_at":"2026-05-18T01:59:00.563332+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5876v2","created_at":"2026-05-18T01:59:00.563332+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5876","created_at":"2026-05-18T01:59:00.563332+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZV4YPRFTCZG","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZV4YPRFTCZGSJYG","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZV4YPRF","created_at":"2026-05-18T12:26:39.201973+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM","json":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM.json","graph_json":"https://pith.science/api/pith-number/OZV4YPRFTCZGSJYGZ5SUM5KRBM/graph.json","events_json":"https://pith.science/api/pith-number/OZV4YPRFTCZGSJYGZ5SUM5KRBM/events.json","paper":"https://pith.science/paper/OZV4YPRF"},"agent_actions":{"view_html":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM","download_json":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM.json","view_paper":"https://pith.science/paper/OZV4YPRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5876&json=true","fetch_graph":"https://pith.science/api/pith-number/OZV4YPRFTCZGSJYGZ5SUM5KRBM/graph.json","fetch_events":"https://pith.science/api/pith-number/OZV4YPRFTCZGSJYGZ5SUM5KRBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM/action/storage_attestation","attest_author":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM/action/author_attestation","sign_citation":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM/action/citation_signature","submit_replication":"https://pith.science/pith/OZV4YPRFTCZGSJYGZ5SUM5KRBM/action/replication_record"}},"created_at":"2026-05-18T01:59:00.563332+00:00","updated_at":"2026-05-18T01:59:00.563332+00:00"}