{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GYZDPIQDADNDJM2ES5YECYSYLO","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":"3e4ef92a9cf9e89acaa2e1e5cddbf06c3d19884d1a07f68bfedd4de18e4145f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-07T14:59:54Z","title_canon_sha256":"b428fa6f04a183c4502709bea059b29b93ac0f8791f4bf6fb12c30e81b3e3821"},"schema_version":"1.0","source":{"id":"1110.1557","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1557","created_at":"2026-05-18T04:11:29Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1557v1","created_at":"2026-05-18T04:11:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1557","created_at":"2026-05-18T04:11:29Z"},{"alias_kind":"pith_short_12","alias_value":"GYZDPIQDADND","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GYZDPIQDADNDJM2E","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GYZDPIQD","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:22236c8a911b0940c70eaf9e1b4b775fe12947f2e1e066da71a75590f5ca4e61","target":"graph","created_at":"2026-05-18T04:11:29Z","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":"The paper is devoted to so-called local and 2-local derivations on the noncommutative Arens algebra $L^\\omega(M, \\tau)$ associated with a von Neumann algebra $M$ and a faithful normal semi-finite trace $\\tau.$ We prove that every 2-local derivation on $L^\\omega(M, \\tau)$ is a spatial derivation, and if $M$ is a finite von Neumann algebra, then each local derivation on $L^\\omega(M, \\tau)$ is also a spatial derivation and every 2-local derivation on $M$ is in fact an inner derivation.","authors_text":"A. K. Alauatdinov, B. O. Nurjanov, K. K. Kudaybergenov, Sh. A. Ayupov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-07T14:59:54Z","title":"Local and 2-Local derivations on noncommutative Arens algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1557","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":"sha256:8acd78464452dbe2cc9245d44a4c31d99b9b214ba4cfa99f7b1f4a9a934fb3e7","target":"record","created_at":"2026-05-18T04:11:29Z","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":"3e4ef92a9cf9e89acaa2e1e5cddbf06c3d19884d1a07f68bfedd4de18e4145f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-07T14:59:54Z","title_canon_sha256":"b428fa6f04a183c4502709bea059b29b93ac0f8791f4bf6fb12c30e81b3e3821"},"schema_version":"1.0","source":{"id":"1110.1557","kind":"arxiv","version":1}},"canonical_sha256":"363237a20300da34b34497704162585b9f5029a4d4970323df453ba839b7de04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"363237a20300da34b34497704162585b9f5029a4d4970323df453ba839b7de04","first_computed_at":"2026-05-18T04:11:29.783098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:29.783098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ouCrYJUZIvqR0MX9dv6cbBiV1cEVyGOjhlpe/4a1XaioZHGKRwNlrU5gFCzbR2SVaI5+HLlCd3kgtejYPDMMCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:29.783660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1557","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8acd78464452dbe2cc9245d44a4c31d99b9b214ba4cfa99f7b1f4a9a934fb3e7","sha256:22236c8a911b0940c70eaf9e1b4b775fe12947f2e1e066da71a75590f5ca4e61"],"state_sha256":"51ebfae6cb377c32c06f4262a670b2245370ea3b5c9bb7ebdccf6d3ff7af897e"}