{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UUWQFB5OR3HDAL7KZUP46EMBS2","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":"cd0be924646ee176b860b97d1452b0e80fe75e452d6f7608ea509453a42fdc0a","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-08-02T14:52:03Z","title_canon_sha256":"df8f6c36c7370ee9e831e3414649740b612eb66f6945e154809c23971d6c61ef"},"schema_version":"1.0","source":{"id":"1108.0586","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0586","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0586v1","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0586","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"UUWQFB5OR3HD","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UUWQFB5OR3HDAL7K","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UUWQFB5O","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:7fa3e6d3dbf2e03c42fa7cb200080154cbc181f72291defe4b7499c1a7372abd","target":"graph","created_at":"2026-05-18T04:16:30Z","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 apply Kolesnikov's algorithm to obtain a variety of nonassociative algebras defined by right anticommutativity and a `noncommutative' version of the Malcev identity. We use computational linear algebra to verify that these identities are equivalent to the identities of degree <= 4 satisfied by the dicommutator in every alternative dialgebra. We extend these computations to show that any special identity for Malcev dialgebras must have degree at least 7. Finally, we introduce a trilinear operation which makes any Malcev dialgebra into a Leibniz triple system.","authors_text":"Juana Sanchez-Ortega, Luiz A. Peresi, Murray R. Bremner","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-08-02T14:52:03Z","title":"Malcev dialgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0586","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:be3d00578b668101f5b4ad2504dd5d61912b599a49d0b5e27b41df05fec6b17f","target":"record","created_at":"2026-05-18T04:16:30Z","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":"cd0be924646ee176b860b97d1452b0e80fe75e452d6f7608ea509453a42fdc0a","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-08-02T14:52:03Z","title_canon_sha256":"df8f6c36c7370ee9e831e3414649740b612eb66f6945e154809c23971d6c61ef"},"schema_version":"1.0","source":{"id":"1108.0586","kind":"arxiv","version":1}},"canonical_sha256":"a52d0287ae8ece302feacd1fcf1181968059767a26a8bfb97bf730cf078a5c3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a52d0287ae8ece302feacd1fcf1181968059767a26a8bfb97bf730cf078a5c3a","first_computed_at":"2026-05-18T04:16:30.151244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:30.151244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+t8n3p46oid2CgFKFx5oFDhBJIbG3cEdeI3PMQS5fqiLB7PXJ5QQCUnldmUzhLks8v7b2HIIbAKv2fpkaNF0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:30.151731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0586","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be3d00578b668101f5b4ad2504dd5d61912b599a49d0b5e27b41df05fec6b17f","sha256:7fa3e6d3dbf2e03c42fa7cb200080154cbc181f72291defe4b7499c1a7372abd"],"state_sha256":"056d336a51503bef63f9902bbac54e25537b59976fcac40d1f7af63a0e6b08bc"}