{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ERCKKQJK6NDMNJCIK2AL5IZAPC","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":"068f8e60a4681f40e13cf722abca85a9c7432a7beef1dbbecb651832fa605d2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-05-27T04:06:56Z","title_canon_sha256":"a75800ed03335e3eec879844cd16d1b89ce6d00b2dfa6672b180cac6b1adb672"},"schema_version":"1.0","source":{"id":"1105.5475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5475","created_at":"2026-05-18T04:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5475v1","created_at":"2026-05-18T04:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5475","created_at":"2026-05-18T04:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"ERCKKQJK6NDM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERCKKQJK6NDMNJCI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERCKKQJK","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:67415bdbf8244789d6935000a7036a2905a42f643eefcd4cff99ebed111b2962","target":"graph","created_at":"2026-05-18T04:21:11Z","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 take an algorithmic and computational approach to a basic problem in abstract algebra: determining the correct generalization to dialgebras of a given variety of nonassociative algebras. We give a simplified statement of the KP algorithm introduced by Kolesnikov and Pozhidaev for extending polynomial identities for algebras to corresponding identities for dialgebras. We apply the KP algorithm to the defining identities for Jordan triple systems to obtain a new variety of nonassociative triple systems, called Jordan triple disystems. We give a generalized statement of the BSO algorithm intro","authors_text":"Juana Sanchez-Ortega, Murray R. Bremner, Raul Felipe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-05-27T04:06:56Z","title":"Jordan Triple Disystems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5475","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:a786b2f6853035f70a5555fd703e5b3955d890a8585e5c6ef5ea929124b4d030","target":"record","created_at":"2026-05-18T04:21:11Z","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":"068f8e60a4681f40e13cf722abca85a9c7432a7beef1dbbecb651832fa605d2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-05-27T04:06:56Z","title_canon_sha256":"a75800ed03335e3eec879844cd16d1b89ce6d00b2dfa6672b180cac6b1adb672"},"schema_version":"1.0","source":{"id":"1105.5475","kind":"arxiv","version":1}},"canonical_sha256":"2444a5412af346c6a4485680bea32078ac0603715a86596a137cf2fbd0a4bc5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2444a5412af346c6a4485680bea32078ac0603715a86596a137cf2fbd0a4bc5a","first_computed_at":"2026-05-18T04:21:11.606388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:11.606388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+R++f/x+q4D5jEq9OjYigJZVwsX76p91U6ludkx2EHXDViKKEU+zU4HNKVDxMkafVkCyW60WETw1Mjs8nK5tCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:11.607110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a786b2f6853035f70a5555fd703e5b3955d890a8585e5c6ef5ea929124b4d030","sha256:67415bdbf8244789d6935000a7036a2905a42f643eefcd4cff99ebed111b2962"],"state_sha256":"03ad4af84aefda6fcfcd91f624712d0380bd60674e1fbfb8cbf7df8f77734a1b"}