{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3P2GBLJY5B2B6J6PMBQNFE5F3U","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a5aeaaf684e356286df444a1935ce8eb0bca7e59231cead15ef65b6e3717b473","cross_cats_sorted":["cs.LO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-01T20:23:43Z","title_canon_sha256":"5569b166b57685ead711d9c8020dd52f18ad0301c1987d4e6e061a9c8b567bca"},"schema_version":"1.0","source":{"id":"1102.0264","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0264","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0264v7","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0264","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"3P2GBLJY5B2B","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3P2GBLJY5B2B6J6P","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3P2GBLJY","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:3964d4550447a46792de2467f4bf53ea3cd301c9cc189c12c9a3be5a059b8601","target":"graph","created_at":"2026-05-18T04:07:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We use the mathematical language of sheaf theory to give a unified treatment of non-locality and contextuality, in a setting which generalizes the familiar probability tables used in non-locality theory to arbitrary measurement covers; this includes Kochen-Specker configurations and more. We show that contextuality, and non-locality as a special case, correspond exactly to obstructions to the existence of global sections. We describe a linear algebraic approach to computing these obstructions, which allows a systematic treatment of arguments for non-locality and contextuality. We distinguish a","authors_text":"Adam Brandenburger, Samson Abramsky","cross_cats":["cs.LO","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-01T20:23:43Z","title":"The Sheaf-Theoretic Structure Of Non-Locality and Contextuality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0264","kind":"arxiv","version":7},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5f9c48d41c54a84354162e0f32651d6931a5c5811756e9a2c373b29e81b3bd7e","target":"record","created_at":"2026-05-18T04:07:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a5aeaaf684e356286df444a1935ce8eb0bca7e59231cead15ef65b6e3717b473","cross_cats_sorted":["cs.LO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-01T20:23:43Z","title_canon_sha256":"5569b166b57685ead711d9c8020dd52f18ad0301c1987d4e6e061a9c8b567bca"},"schema_version":"1.0","source":{"id":"1102.0264","kind":"arxiv","version":7}},"canonical_sha256":"dbf460ad38e8741f27cf6060d293a5dd3bfc508ccffaaa6e535212c38120c566","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbf460ad38e8741f27cf6060d293a5dd3bfc508ccffaaa6e535212c38120c566","first_computed_at":"2026-05-18T04:07:29.279451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:29.279451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MPeoB63Zw4qCRLe9qwcHV9/DBDuG/Qg8Ui0kWJ/otufoem3SBkDFeYmry85iUDOgReKkwcFFJ+iweFc2jYEGBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:29.279865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0264","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f9c48d41c54a84354162e0f32651d6931a5c5811756e9a2c373b29e81b3bd7e","sha256:3964d4550447a46792de2467f4bf53ea3cd301c9cc189c12c9a3be5a059b8601"],"state_sha256":"63058dccabb7e64bbfaeb2b4a574b335fbebffb484f0d05e417c2ff8e4e81901"}