{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:E4LIB7MYXFATNV3QLQXMJU3EK4","short_pith_number":"pith:E4LIB7MY","canonical_record":{"source":{"id":"1512.05048","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T04:44:48Z","cross_cats_sorted":[],"title_canon_sha256":"43b5450dfd7e69ae6a6f7d699bb11854ba75e9a15c2c1f8de172b98bf714ac46","abstract_canon_sha256":"3044a4bfe9e45d536d02d75795b6b140cb4f3215b5c1a3e1f7c40ed627a07103"},"schema_version":"1.0"},"canonical_sha256":"271680fd98b94136d7705c2ec4d36457140aef22f19f90ee3155d285d1b59ed8","source":{"kind":"arxiv","id":"1512.05048","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05048","created_at":"2026-05-18T00:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05048v3","created_at":"2026-05-18T00:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05048","created_at":"2026-05-18T00:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"E4LIB7MYXFAT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"E4LIB7MYXFATNV3Q","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"E4LIB7MY","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:E4LIB7MYXFATNV3QLQXMJU3EK4","target":"record","payload":{"canonical_record":{"source":{"id":"1512.05048","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T04:44:48Z","cross_cats_sorted":[],"title_canon_sha256":"43b5450dfd7e69ae6a6f7d699bb11854ba75e9a15c2c1f8de172b98bf714ac46","abstract_canon_sha256":"3044a4bfe9e45d536d02d75795b6b140cb4f3215b5c1a3e1f7c40ed627a07103"},"schema_version":"1.0"},"canonical_sha256":"271680fd98b94136d7705c2ec4d36457140aef22f19f90ee3155d285d1b59ed8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:51.118829Z","signature_b64":"3qJ1L44uKncKgiS7HfJTopq8X0gfbrhg9V+2zBZbYH4/O8OHoanUUhFrVeFBp+QvuqRv523RgBzdGHFWiRr6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"271680fd98b94136d7705c2ec4d36457140aef22f19f90ee3155d285d1b59ed8","last_reissued_at":"2026-05-18T00:47:51.118111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:51.118111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.05048","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uail+52MFQ06nb30arXzXo0wk6QWOvJument8NY987N7BHX3/scT5GPRHy/FMxsbkTDeBMV+NLss0G7B5t42DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T23:41:21.555153Z"},"content_sha256":"3a14d84ee4e2463bfc06e999842e33e912f97498a1828107f293298a9bf0525f","schema_version":"1.0","event_id":"sha256:3a14d84ee4e2463bfc06e999842e33e912f97498a1828107f293298a9bf0525f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:E4LIB7MYXFATNV3QLQXMJU3EK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Graph-theoretic strengths of contextuality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nadish de Silva","submitted_at":"2015-12-16T04:44:48Z","abstract_excerpt":"Cabello-Severini-Winter and Abramsky-Hardy (building on the framework of Abramsky-Brandenburger) both provide classes of Bell and contextuality inequalities for very general experimental scenarios using vastly different mathematical techniques. We review both approaches, carefully detail the links between them, and give simple, graph-theoretic methods for finding inequality-free proofs of nonlocality and contextuality and for finding states exhibiting strong nonlocality and/or contextuality. Finally, we apply these methods to concrete examples in stabilizer quantum mechanics relevant to unders"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05048","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GCTAqYekqkNgZzhGgAysmhg6AXJK3BJ3flqDnixNhFGkxBqI63Hu5QPIFDNt5HlAJDhDZB2hau0Ge+hzO9gnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T23:41:21.555518Z"},"content_sha256":"c1d05efc19375bfc03e75e8d8cdea3d31d38f2d2854afd367ce2aca52008f17d","schema_version":"1.0","event_id":"sha256:c1d05efc19375bfc03e75e8d8cdea3d31d38f2d2854afd367ce2aca52008f17d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E4LIB7MYXFATNV3QLQXMJU3EK4/bundle.json","state_url":"https://pith.science/pith/E4LIB7MYXFATNV3QLQXMJU3EK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E4LIB7MYXFATNV3QLQXMJU3EK4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-19T23:41:21Z","links":{"resolver":"https://pith.science/pith/E4LIB7MYXFATNV3QLQXMJU3EK4","bundle":"https://pith.science/pith/E4LIB7MYXFATNV3QLQXMJU3EK4/bundle.json","state":"https://pith.science/pith/E4LIB7MYXFATNV3QLQXMJU3EK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E4LIB7MYXFATNV3QLQXMJU3EK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:E4LIB7MYXFATNV3QLQXMJU3EK4","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":"3044a4bfe9e45d536d02d75795b6b140cb4f3215b5c1a3e1f7c40ed627a07103","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T04:44:48Z","title_canon_sha256":"43b5450dfd7e69ae6a6f7d699bb11854ba75e9a15c2c1f8de172b98bf714ac46"},"schema_version":"1.0","source":{"id":"1512.05048","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05048","created_at":"2026-05-18T00:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05048v3","created_at":"2026-05-18T00:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05048","created_at":"2026-05-18T00:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"E4LIB7MYXFAT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"E4LIB7MYXFATNV3Q","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"E4LIB7MY","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:c1d05efc19375bfc03e75e8d8cdea3d31d38f2d2854afd367ce2aca52008f17d","target":"graph","created_at":"2026-05-18T00:47:51Z","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":"Cabello-Severini-Winter and Abramsky-Hardy (building on the framework of Abramsky-Brandenburger) both provide classes of Bell and contextuality inequalities for very general experimental scenarios using vastly different mathematical techniques. We review both approaches, carefully detail the links between them, and give simple, graph-theoretic methods for finding inequality-free proofs of nonlocality and contextuality and for finding states exhibiting strong nonlocality and/or contextuality. Finally, we apply these methods to concrete examples in stabilizer quantum mechanics relevant to unders","authors_text":"Nadish de Silva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T04:44:48Z","title":"Graph-theoretic strengths of contextuality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05048","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":"sha256:3a14d84ee4e2463bfc06e999842e33e912f97498a1828107f293298a9bf0525f","target":"record","created_at":"2026-05-18T00:47:51Z","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":"3044a4bfe9e45d536d02d75795b6b140cb4f3215b5c1a3e1f7c40ed627a07103","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T04:44:48Z","title_canon_sha256":"43b5450dfd7e69ae6a6f7d699bb11854ba75e9a15c2c1f8de172b98bf714ac46"},"schema_version":"1.0","source":{"id":"1512.05048","kind":"arxiv","version":3}},"canonical_sha256":"271680fd98b94136d7705c2ec4d36457140aef22f19f90ee3155d285d1b59ed8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"271680fd98b94136d7705c2ec4d36457140aef22f19f90ee3155d285d1b59ed8","first_computed_at":"2026-05-18T00:47:51.118111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:51.118111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3qJ1L44uKncKgiS7HfJTopq8X0gfbrhg9V+2zBZbYH4/O8OHoanUUhFrVeFBp+QvuqRv523RgBzdGHFWiRr6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:51.118829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05048","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a14d84ee4e2463bfc06e999842e33e912f97498a1828107f293298a9bf0525f","sha256:c1d05efc19375bfc03e75e8d8cdea3d31d38f2d2854afd367ce2aca52008f17d"],"state_sha256":"069e517f256cd8b6a5e2dc270d21852e7411721898cef80b9821ca7bdfc6f7d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tDZccyMcntTJMvpLfQq5psjlgsEPZBI1kuZKb7tdVzrLI3eRf8LByfJWS2H19GIq12XTTNfB58xdxEVFz+UFAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-19T23:41:21.557513Z","bundle_sha256":"f51fb4b93a900e285df6f7bc17c501776235a7486f345e02e3d089c3a5ce8bd9"}}