{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BVZ2G4JT4IMZ65IOTFIWCCX2GI","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":"0d1b64a683ff8cc5ea9343113599bd40c7f3c2a06a99ad43610f84aa60ef8a8d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T18:00:19Z","title_canon_sha256":"e82667ba89bfc10663b05ad3b8945725020578cd25a794913687b7a5ec70290f"},"schema_version":"1.0","source":{"id":"1710.01318","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01318","created_at":"2026-05-18T00:09:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01318v1","created_at":"2026-05-18T00:09:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01318","created_at":"2026-05-18T00:09:30Z"},{"alias_kind":"pith_short_12","alias_value":"BVZ2G4JT4IMZ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BVZ2G4JT4IMZ65IO","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BVZ2G4JT","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:2f5098dce527278771e0ec0218e4ce94d72803b04bc044ad79f0f8c1698025ba","target":"graph","created_at":"2026-05-18T00:09:30Z","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 explore the graph approach to contextuality to restate the extended definition of noncontextuality as given by J. Kujala et. al. [Phys. Rev. Lett. 115, 150401 (2015)] using graph-theoretical terms. This extended definition avoids the assumption of the pre-sheaf or non-disturbance condition, which states that if two contexts overlap, then the marginal distribution obtained for the intersection must be the same, a restriction that will never be perfectly satisfied in real experiments. With this we are able to derive necessary conditions for extended noncontextuality for any set of random vari","authors_text":"Barbara Amaral, Cristhiano Duarte, Roberto I. Oliveira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T18:00:19Z","title":"Necessary Conditions for Extended Noncontextuality in General Sets of Random Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01318","kind":"arxiv","version":1},"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":"sha256:56c803c6307c7aa877544c9047dcbc851b18e41ce5b64ad8635df279aa4cb88c","target":"record","created_at":"2026-05-18T00:09:30Z","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":"0d1b64a683ff8cc5ea9343113599bd40c7f3c2a06a99ad43610f84aa60ef8a8d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T18:00:19Z","title_canon_sha256":"e82667ba89bfc10663b05ad3b8945725020578cd25a794913687b7a5ec70290f"},"schema_version":"1.0","source":{"id":"1710.01318","kind":"arxiv","version":1}},"canonical_sha256":"0d73a37133e2199f750e9951610afa323a3eca2e748dde44fdaf5351ca2c7753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d73a37133e2199f750e9951610afa323a3eca2e748dde44fdaf5351ca2c7753","first_computed_at":"2026-05-18T00:09:30.684175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:30.684175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K1MiSMS30bxg+m1KwvVTw9htFZsdzK+7jsT1+MSef94sxYuj/Zq+zYSO0BEbERGrVsxc41oBKwfUIf0PcHYBAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:30.684928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01318","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56c803c6307c7aa877544c9047dcbc851b18e41ce5b64ad8635df279aa4cb88c","sha256:2f5098dce527278771e0ec0218e4ce94d72803b04bc044ad79f0f8c1698025ba"],"state_sha256":"1c59d20b5753ac75709159571f5f6d40027c8b779f14b4b5e311596ac56d39ae"}