{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NWFNHJPNNUJ2F2IZBXKJTOYCBN","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":"3e536655e0ca85aefd161d219810f53ce0feb43c767d4ab2dbc8a01b5d442a50","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-21T14:46:50Z","title_canon_sha256":"1351ee8cf6cad1b0334a7a65a8cdc2d67f3effc783c68e7ddb8669f1f5af192f"},"schema_version":"1.0","source":{"id":"1211.5049","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5049","created_at":"2026-05-18T03:03:22Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5049v2","created_at":"2026-05-18T03:03:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5049","created_at":"2026-05-18T03:03:22Z"},{"alias_kind":"pith_short_12","alias_value":"NWFNHJPNNUJ2","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NWFNHJPNNUJ2F2IZ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NWFNHJPN","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:8a9024e57db50d33eadaa76997603609985d9b26f02cabed3baab8a69fabee81","target":"graph","created_at":"2026-05-18T03:03:22Z","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":"A non-associative Groenewold-Moyal plane is constructed using quaternion-valued function algebras. The symmetrized multi-particle states, the scalar product, the annihilation/creation algebra and d the formulation in terms of a Hopf algebra are also developed. Non-associative quantum algebras in terms of position and momentum operators are given as the simplest examples of a framework whose applications may involve string theory and non-linear quantum field theory","authors_text":"Paulo Teot\\^onio-Sobrinho, Sergio Giardino","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-21T14:46:50Z","title":"A non-associative quaternion scalar field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5049","kind":"arxiv","version":2},"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":"sha256:969437db7f3b4b7ff59b135caac0f95c8137dfd2c74a766599fb56b5cc43e7db","target":"record","created_at":"2026-05-18T03:03:22Z","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":"3e536655e0ca85aefd161d219810f53ce0feb43c767d4ab2dbc8a01b5d442a50","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-21T14:46:50Z","title_canon_sha256":"1351ee8cf6cad1b0334a7a65a8cdc2d67f3effc783c68e7ddb8669f1f5af192f"},"schema_version":"1.0","source":{"id":"1211.5049","kind":"arxiv","version":2}},"canonical_sha256":"6d8ad3a5ed6d13a2e9190dd499bb020b66a958c46315bbf28c257fee8ccd349f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d8ad3a5ed6d13a2e9190dd499bb020b66a958c46315bbf28c257fee8ccd349f","first_computed_at":"2026-05-18T03:03:22.151751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:22.151751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tb8NNqTNxo/0RJHx3dURqardYnR7O6H+nKlPRvfHSRRbHImuTkZx2TlcHlPIN0eBASfZJKxTlLSrJ6kvgeDLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:22.153056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5049","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:969437db7f3b4b7ff59b135caac0f95c8137dfd2c74a766599fb56b5cc43e7db","sha256:8a9024e57db50d33eadaa76997603609985d9b26f02cabed3baab8a69fabee81"],"state_sha256":"c03a3218de335829d6e5bcf8fde7bd63b19d2909a3ffd8bf3b1800c7b7cd6460"}