{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:7XYVGSL4FURIZ5FVOHPVZIWIMQ","short_pith_number":"pith:7XYVGSL4","schema_version":"1.0","canonical_sha256":"fdf153497c2d228cf4b571df5ca2c86419b9ba4ed5966fe90b2f457b0789c4fd","source":{"kind":"arxiv","id":"1205.5015","version":3},"attestation_state":"computed","paper":{"title":"Proofs of the Kochen-Specker theorem based on a system of three qubits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mordecai Waegell, P. K. Aravind","submitted_at":"2012-05-22T19:30:12Z","abstract_excerpt":"A number of new proofs of the Kochen-Specker theorem are given based on the observables of the three-qubit Pauli group. Each proof is presented in the form of a diagram from which it is obvious by inspection. Each of our observable-based proofs leads to a system of projectors and bases that generally yields a large number of \"parity proofs\" of the Kochen-Specker theorem. Some examples of such proofs are given and some of their applications are discussed."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.5015","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-22T19:30:12Z","cross_cats_sorted":[],"title_canon_sha256":"14fffc9fe849ea93396ed8897fe06970f725282f402adacc13e08efea46a41c4","abstract_canon_sha256":"238eafadb0b69fb7fe26f6e8aec475aec2665f57a1ed1e926765a63b58d9dca5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:24.351006Z","signature_b64":"qELhh2tM9OynQkc9nfZBmp/nNW1oqk3BeUzbCQsf7cQEfletPsn1IqTVydKmu2aHhH9S4jBKm3P0AVVhDsTuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdf153497c2d228cf4b571df5ca2c86419b9ba4ed5966fe90b2f457b0789c4fd","last_reissued_at":"2026-05-18T01:57:24.350463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:24.350463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proofs of the Kochen-Specker theorem based on a system of three qubits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mordecai Waegell, P. K. Aravind","submitted_at":"2012-05-22T19:30:12Z","abstract_excerpt":"A number of new proofs of the Kochen-Specker theorem are given based on the observables of the three-qubit Pauli group. Each proof is presented in the form of a diagram from which it is obvious by inspection. Each of our observable-based proofs leads to a system of projectors and bases that generally yields a large number of \"parity proofs\" of the Kochen-Specker theorem. Some examples of such proofs are given and some of their applications are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5015","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.5015","created_at":"2026-05-18T01:57:24.350545+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.5015v3","created_at":"2026-05-18T01:57:24.350545+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5015","created_at":"2026-05-18T01:57:24.350545+00:00"},{"alias_kind":"pith_short_12","alias_value":"7XYVGSL4FURI","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"7XYVGSL4FURIZ5FV","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"7XYVGSL4","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ","json":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ.json","graph_json":"https://pith.science/api/pith-number/7XYVGSL4FURIZ5FVOHPVZIWIMQ/graph.json","events_json":"https://pith.science/api/pith-number/7XYVGSL4FURIZ5FVOHPVZIWIMQ/events.json","paper":"https://pith.science/paper/7XYVGSL4"},"agent_actions":{"view_html":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ","download_json":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ.json","view_paper":"https://pith.science/paper/7XYVGSL4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.5015&json=true","fetch_graph":"https://pith.science/api/pith-number/7XYVGSL4FURIZ5FVOHPVZIWIMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/7XYVGSL4FURIZ5FVOHPVZIWIMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ/action/storage_attestation","attest_author":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ/action/author_attestation","sign_citation":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ/action/citation_signature","submit_replication":"https://pith.science/pith/7XYVGSL4FURIZ5FVOHPVZIWIMQ/action/replication_record"}},"created_at":"2026-05-18T01:57:24.350545+00:00","updated_at":"2026-05-18T01:57:24.350545+00:00"}