{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CQ7BO3EESOCYWMMHR7U6DLPJEF","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":"2786e3a47b38cde57dc10aad11435ce947c33820b43b29f6d9f2f835543d47da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-04-25T08:56:47Z","title_canon_sha256":"c178a7e0399046e2a5d5a8cac28d8ff625efce63b04279782754280b9efd525c"},"schema_version":"1.0","source":{"id":"1104.4698","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4698","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4698v1","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4698","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"CQ7BO3EESOCY","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CQ7BO3EESOCYWMMH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CQ7BO3EE","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:55bf874a3f68e3a44f1315d5ab4e93aa9b3d88830459e7c4dc30668245aacc3a","target":"graph","created_at":"2026-05-18T04:23:33Z","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":"Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ For type I von Neumann algebras $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary automorphism $T$ of $E(M)$ can be decomposed as $T=T_a\\circ T_\\phi,$ where $T_a(x)=axa^{-1}$ is an inner automorphism implemented by an element $a\\in E(M),$ and $T_\\phi$ is a special automorphism generated by an automorphism $\\phi$ of the center of $E(M).$ In particular if $M$ is of type I$_\\infty$ then every band preserving automorphism of $E(M)$","authors_text":"K. K. Kudaybergenov, R. T. Djumamuratov, S. Albeverio, Sh. A. Ayupov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-04-25T08:56:47Z","title":"Automorphisms of central extensions of type I von Neumann algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4698","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":"sha256:5a24d505003e65247ec852ae6d3c9a8a45edc22f55184fdada6b7736dad4857a","target":"record","created_at":"2026-05-18T04:23:33Z","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":"2786e3a47b38cde57dc10aad11435ce947c33820b43b29f6d9f2f835543d47da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-04-25T08:56:47Z","title_canon_sha256":"c178a7e0399046e2a5d5a8cac28d8ff625efce63b04279782754280b9efd525c"},"schema_version":"1.0","source":{"id":"1104.4698","kind":"arxiv","version":1}},"canonical_sha256":"143e176c8493858b31878fe9e1ade9215d8251aff1179bbe32243134404c4325","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"143e176c8493858b31878fe9e1ade9215d8251aff1179bbe32243134404c4325","first_computed_at":"2026-05-18T04:23:33.605064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:33.605064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T12ymMtTbOQT1y5NMIAej0i1eLgzusyurHDq4f0wbo3sTxNMuWzT8N1DH5urPyjicddpznpu0fMDPlSdwxE+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:33.605520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4698","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a24d505003e65247ec852ae6d3c9a8a45edc22f55184fdada6b7736dad4857a","sha256:55bf874a3f68e3a44f1315d5ab4e93aa9b3d88830459e7c4dc30668245aacc3a"],"state_sha256":"8ddd94b7edd089298e8c8e2d7bf06912c8b4e8125eb7e4b6f599cedd3114f781"}