{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IHJ7WR63V4OCNJN3GD3SNOBQHU","short_pith_number":"pith:IHJ7WR63","canonical_record":{"source":{"id":"1607.07567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-26T07:26:23Z","cross_cats_sorted":[],"title_canon_sha256":"a1be9c4e3defe0d86b95d529841c7b49279daca32a94227a1db0aef3802e5963","abstract_canon_sha256":"1d06ec7cb0e2174133778aea41944b041b79faaf458d85732338ecfb87a03ed5"},"schema_version":"1.0"},"canonical_sha256":"41d3fb47dbaf1c26a5bb30f726b8303d152b70e11809cbeec37cab64d1410e50","source":{"kind":"arxiv","id":"1607.07567","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07567","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07567v1","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07567","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"IHJ7WR63V4OC","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHJ7WR63V4OCNJN3","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHJ7WR63","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IHJ7WR63V4OCNJN3GD3SNOBQHU","target":"record","payload":{"canonical_record":{"source":{"id":"1607.07567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-26T07:26:23Z","cross_cats_sorted":[],"title_canon_sha256":"a1be9c4e3defe0d86b95d529841c7b49279daca32a94227a1db0aef3802e5963","abstract_canon_sha256":"1d06ec7cb0e2174133778aea41944b041b79faaf458d85732338ecfb87a03ed5"},"schema_version":"1.0"},"canonical_sha256":"41d3fb47dbaf1c26a5bb30f726b8303d152b70e11809cbeec37cab64d1410e50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:41.511644Z","signature_b64":"GOvxNV/NDBLZ8xjEa5cLI4y/vTWyPhOclSTXDWKCbO8FdD4+GEMRW2enArybSaIHYbmsJk3+dOMSn0SP7YzoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41d3fb47dbaf1c26a5bb30f726b8303d152b70e11809cbeec37cab64d1410e50","last_reissued_at":"2026-05-18T00:41:41.511160Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:41.511160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.07567","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ALroVWJr/qz6FUR6ePuV75fORC2zDkmUxmKfuI+Ku448gT+6ZthF5Uskl3mXbqnpO5/hiWw0SI7gJaHfi0LoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:01:28.324232Z"},"content_sha256":"c351e8842602ca7969edbfe90f6c4950f782fda680b34522dccbb53913d3e7c8","schema_version":"1.0","event_id":"sha256:c351e8842602ca7969edbfe90f6c4950f782fda680b34522dccbb53913d3e7c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IHJ7WR63V4OCNJN3GD3SNOBQHU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contextuality with a Small Number of Observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fr\\'ed\\'eric Holweck, Metod Saniga","submitted_at":"2016-07-26T07:26:23Z","abstract_excerpt":"We investigate small geometric configurations that furnish observable-based proofs of the Kochen-Specker theorem. Assuming that each context consists of the same number of observables and each observable is shared by two contexts, it is proved that the most economical proofs are the famous Mermin-Peres square and the Mermin pentagram featuring, respectively, $9$ and $10$ observables, there being no proofs using less than $9$ observables. We also propose a new proof with $14$ observables forming a `magic' heptagram. On the other hand, some other prominent small-size finite geometries, like the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07567","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WilZIgODkZXonPYxtSIVsPn7R4v/KPIOnFSGLv528bIfOYjXe1zq9BGBfidXVdpNhrBtbW9xwBJ+Pq6X+kccCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:01:28.324596Z"},"content_sha256":"2d22ee67a5063a80dfaec290493bc1cc153fb360057c43739acce640e46954ee","schema_version":"1.0","event_id":"sha256:2d22ee67a5063a80dfaec290493bc1cc153fb360057c43739acce640e46954ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU/bundle.json","state_url":"https://pith.science/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU/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":"2026-06-08T10:01:28Z","links":{"resolver":"https://pith.science/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU","bundle":"https://pith.science/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU/bundle.json","state":"https://pith.science/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHJ7WR63V4OCNJN3GD3SNOBQHU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IHJ7WR63V4OCNJN3GD3SNOBQHU","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":"1d06ec7cb0e2174133778aea41944b041b79faaf458d85732338ecfb87a03ed5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-26T07:26:23Z","title_canon_sha256":"a1be9c4e3defe0d86b95d529841c7b49279daca32a94227a1db0aef3802e5963"},"schema_version":"1.0","source":{"id":"1607.07567","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07567","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07567v1","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07567","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"IHJ7WR63V4OC","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHJ7WR63V4OCNJN3","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHJ7WR63","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:2d22ee67a5063a80dfaec290493bc1cc153fb360057c43739acce640e46954ee","target":"graph","created_at":"2026-05-18T00:41:41Z","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 investigate small geometric configurations that furnish observable-based proofs of the Kochen-Specker theorem. Assuming that each context consists of the same number of observables and each observable is shared by two contexts, it is proved that the most economical proofs are the famous Mermin-Peres square and the Mermin pentagram featuring, respectively, $9$ and $10$ observables, there being no proofs using less than $9$ observables. We also propose a new proof with $14$ observables forming a `magic' heptagram. On the other hand, some other prominent small-size finite geometries, like the ","authors_text":"Fr\\'ed\\'eric Holweck, Metod Saniga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-26T07:26:23Z","title":"Contextuality with a Small Number of Observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07567","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:c351e8842602ca7969edbfe90f6c4950f782fda680b34522dccbb53913d3e7c8","target":"record","created_at":"2026-05-18T00:41:41Z","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":"1d06ec7cb0e2174133778aea41944b041b79faaf458d85732338ecfb87a03ed5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-26T07:26:23Z","title_canon_sha256":"a1be9c4e3defe0d86b95d529841c7b49279daca32a94227a1db0aef3802e5963"},"schema_version":"1.0","source":{"id":"1607.07567","kind":"arxiv","version":1}},"canonical_sha256":"41d3fb47dbaf1c26a5bb30f726b8303d152b70e11809cbeec37cab64d1410e50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41d3fb47dbaf1c26a5bb30f726b8303d152b70e11809cbeec37cab64d1410e50","first_computed_at":"2026-05-18T00:41:41.511160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:41.511160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GOvxNV/NDBLZ8xjEa5cLI4y/vTWyPhOclSTXDWKCbO8FdD4+GEMRW2enArybSaIHYbmsJk3+dOMSn0SP7YzoDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:41.511644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07567","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c351e8842602ca7969edbfe90f6c4950f782fda680b34522dccbb53913d3e7c8","sha256:2d22ee67a5063a80dfaec290493bc1cc153fb360057c43739acce640e46954ee"],"state_sha256":"27c7d9f5fd87af1de67a830eed080c2f057dd9240f3626559f5176339e5d3fec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JImtNhJKqaO54P0kzSfwehueZsssSEKNNE6tw3wfx6PgRhjogMpcAdEtzFJVLP/Cbbme0YSHxn78Opbx5bzfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T10:01:28.326521Z","bundle_sha256":"78dc5f355a82b91124b0dbfd5d573bc6d17d4b159d2ea486baa923d330ce04d0"}}