{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TFOCTN4AUTSXAY4TWDVNZWSRQJ","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":"9044e9f55d1aaf92ea3e53e7c0984427dac56324801c4f7bf42b2854506eecea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-17T18:42:12Z","title_canon_sha256":"5d527c5175df9d54e67d5445a61b1deabfe13cea1b3d48a91ce0513e9a469048"},"schema_version":"1.0","source":{"id":"1209.3745","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3745","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3745v3","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3745","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"TFOCTN4AUTSX","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TFOCTN4AUTSXAY4T","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TFOCTN4A","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:caf700ea45754c193b23df382b9ee87f83d44d6f91a82c5b58549ff9616be05b","target":"graph","created_at":"2026-05-18T02:55:11Z","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":"Contextuality is central to both the foundations of quantum theory and to the novel information processing tasks. Although it was recognized before Bell's nonlocality, despite some recent proposals, it still faces a fundamental problem: how to quantify its presence? In this work, we provide a framework for quantifying contextuality. We conduct two complementary approaches: (i) bottom-up approach, where we introduce a communication game, which grasps the phenomenon of contextuality in a quantitative manner; (ii) top-down approach, where we just postulate two measures - relative entropy of conte","authors_text":"A. Grudka, A. W\\'ojcik, K. Horodecki, M. Horodecki, P. Horodecki, P. Joshi, R. Horodecki, W. K{\\l}obus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-17T18:42:12Z","title":"Quantifying Contextuality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3745","kind":"arxiv","version":3},"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":"sha256:049a4fa87c197cc9a7a08311cb2c4ecfea6abcdd35fc9fc351ebca7604e5dca5","target":"record","created_at":"2026-05-18T02:55:11Z","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":"9044e9f55d1aaf92ea3e53e7c0984427dac56324801c4f7bf42b2854506eecea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-17T18:42:12Z","title_canon_sha256":"5d527c5175df9d54e67d5445a61b1deabfe13cea1b3d48a91ce0513e9a469048"},"schema_version":"1.0","source":{"id":"1209.3745","kind":"arxiv","version":3}},"canonical_sha256":"995c29b780a4e5706393b0eadcda51826fe38f6eef1c2260f5551b80f6fe4cbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"995c29b780a4e5706393b0eadcda51826fe38f6eef1c2260f5551b80f6fe4cbc","first_computed_at":"2026-05-18T02:55:11.552760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:11.552760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZIdoDZQAeW7WUM8WIRsAQS2I+zhcnwiuD7EeDEQUXp/ggU0mlZCpuLX4AxX7hXmb9k3V7jULidqAjuCv5+xxBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:11.553177Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3745","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:049a4fa87c197cc9a7a08311cb2c4ecfea6abcdd35fc9fc351ebca7604e5dca5","sha256:caf700ea45754c193b23df382b9ee87f83d44d6f91a82c5b58549ff9616be05b"],"state_sha256":"3920461b33b65868610e43daaf6281d42ad3116eb41a37cf8b9a081ef01ed735"}