{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YJEWWU3URJ7KYUWOVI6WJAVIBF","short_pith_number":"pith:YJEWWU3U","schema_version":"1.0","canonical_sha256":"c2496b53748a7eac52ceaa3d6482a80957a2bd954db694b2bc9f57bff6623711","source":{"kind":"arxiv","id":"1412.0522","version":1},"attestation_state":"computed","paper":{"title":"Bell and steering scenarios in terms of operator systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","quant-ph"],"primary_cat":"math.OA","authors_text":"Marcin Marciniak, Michal Horodecki, Zhi Yin","submitted_at":"2014-12-01T15:59:06Z","abstract_excerpt":"The aim of this paper is to indicate possible applications of operator systems in qualitative description of varoius scenarios while studying non-locality. To this end we study in details the notion of generalized non-commuting cube. Following ideas of Fritz and Farenick-Kavruk-Paulsen-Todorov we show in systematic way that various classes of Tsirelson's correlation boxes as well as NPA hierarchies can be described by using various operator system tensor products of generalized non-commuting cubes. Moreover, we show also that noncommuting cubes can be applied for the description of steering as"},"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":"1412.0522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-12-01T15:59:06Z","cross_cats_sorted":["math.FA","quant-ph"],"title_canon_sha256":"c46703a6010a0747f6b4075a5ddbc00b3368cf569b2949973b137054c29334ce","abstract_canon_sha256":"e07ce86553564f985d714d1a56cdad33a9930afd75849a2166312dd12ee81852"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:23.207704Z","signature_b64":"QrOEmgPKPKCOcyLTrIy84uPhLd585r0Rkjc9v6TNMG/E5gQgGDsDyTd2FN9+JXmpAQhYrHV0+wPUfnuuxri+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2496b53748a7eac52ceaa3d6482a80957a2bd954db694b2bc9f57bff6623711","last_reissued_at":"2026-05-18T02:32:23.207278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:23.207278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bell and steering scenarios in terms of operator systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","quant-ph"],"primary_cat":"math.OA","authors_text":"Marcin Marciniak, Michal Horodecki, Zhi Yin","submitted_at":"2014-12-01T15:59:06Z","abstract_excerpt":"The aim of this paper is to indicate possible applications of operator systems in qualitative description of varoius scenarios while studying non-locality. To this end we study in details the notion of generalized non-commuting cube. Following ideas of Fritz and Farenick-Kavruk-Paulsen-Todorov we show in systematic way that various classes of Tsirelson's correlation boxes as well as NPA hierarchies can be described by using various operator system tensor products of generalized non-commuting cubes. Moreover, we show also that noncommuting cubes can be applied for the description of steering as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0522","kind":"arxiv","version":1},"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":"1412.0522","created_at":"2026-05-18T02:32:23.207353+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.0522v1","created_at":"2026-05-18T02:32:23.207353+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0522","created_at":"2026-05-18T02:32:23.207353+00:00"},{"alias_kind":"pith_short_12","alias_value":"YJEWWU3URJ7K","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YJEWWU3URJ7KYUWO","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YJEWWU3U","created_at":"2026-05-18T12:28:57.508820+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/YJEWWU3URJ7KYUWOVI6WJAVIBF","json":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF.json","graph_json":"https://pith.science/api/pith-number/YJEWWU3URJ7KYUWOVI6WJAVIBF/graph.json","events_json":"https://pith.science/api/pith-number/YJEWWU3URJ7KYUWOVI6WJAVIBF/events.json","paper":"https://pith.science/paper/YJEWWU3U"},"agent_actions":{"view_html":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF","download_json":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF.json","view_paper":"https://pith.science/paper/YJEWWU3U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.0522&json=true","fetch_graph":"https://pith.science/api/pith-number/YJEWWU3URJ7KYUWOVI6WJAVIBF/graph.json","fetch_events":"https://pith.science/api/pith-number/YJEWWU3URJ7KYUWOVI6WJAVIBF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF/action/storage_attestation","attest_author":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF/action/author_attestation","sign_citation":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF/action/citation_signature","submit_replication":"https://pith.science/pith/YJEWWU3URJ7KYUWOVI6WJAVIBF/action/replication_record"}},"created_at":"2026-05-18T02:32:23.207353+00:00","updated_at":"2026-05-18T02:32:23.207353+00:00"}