{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XGHNIGTMMDRM7TKMVLN5SWAMRM","short_pith_number":"pith:XGHNIGTM","canonical_record":{"source":{"id":"1608.03996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-08-13T16:05:53Z","cross_cats_sorted":[],"title_canon_sha256":"c4e5f55b3387fe3595b03442dd979b5b1d3bb528f40908ae2ae036bb098c569e","abstract_canon_sha256":"249522f27d834ad5b74884574cf975cfec8d87c1fe5ed8bea02eb327af6a0a15"},"schema_version":"1.0"},"canonical_sha256":"b98ed41a6c60e2cfcd4caadbd9580c8b1695eb940d02b04d92dab19531a0c7a2","source":{"kind":"arxiv","id":"1608.03996","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03996","created_at":"2026-05-18T01:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03996v1","created_at":"2026-05-18T01:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03996","created_at":"2026-05-18T01:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"XGHNIGTMMDRM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XGHNIGTMMDRM7TKM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XGHNIGTM","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XGHNIGTMMDRM7TKMVLN5SWAMRM","target":"record","payload":{"canonical_record":{"source":{"id":"1608.03996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-08-13T16:05:53Z","cross_cats_sorted":[],"title_canon_sha256":"c4e5f55b3387fe3595b03442dd979b5b1d3bb528f40908ae2ae036bb098c569e","abstract_canon_sha256":"249522f27d834ad5b74884574cf975cfec8d87c1fe5ed8bea02eb327af6a0a15"},"schema_version":"1.0"},"canonical_sha256":"b98ed41a6c60e2cfcd4caadbd9580c8b1695eb940d02b04d92dab19531a0c7a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:04.483829Z","signature_b64":"Dj3AsqAg6JCCFgRkT7jIwlmdpOYbsZBLCVFUMdxzzv7jrm4HvrwC2nJBKU0Qr+ZTboEyqj+5GqjcUUh0NtBNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b98ed41a6c60e2cfcd4caadbd9580c8b1695eb940d02b04d92dab19531a0c7a2","last_reissued_at":"2026-05-18T01:09:04.483377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:04.483377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.03996","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7p24Hia23Z2bw0N8MqTo90CRsOx2x+FALpZVgMoSf2P7lirV/+EUUcZc8d+WJn5ktmp+8iuCbUFe3bHV7r4gDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:59:54.054033Z"},"content_sha256":"ceb616f669d59dfc669103ee9ad16840b8082e919ece196817c9a743e4ab726f","schema_version":"1.0","event_id":"sha256:ceb616f669d59dfc669103ee9ad16840b8082e919ece196817c9a743e4ab726f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XGHNIGTMMDRM7TKMVLN5SWAMRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lie derivations on the algebras of locally measurable operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ilkhom Juraev, Vladimir Chilin","submitted_at":"2016-08-13T16:05:53Z","abstract_excerpt":"We prove that every Lie derivation on a solid $\\star-$subalgebras of locally measurable operators it is equal to a sum of the associative derivation and the center-valued trace."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03996","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xKRUHgqUVVrmKvPQ0G5NKj6+DChbBkLO9BcsZOa6iFJguAOiwuTwjexg0ALF4TwLhLyDAxQIUO3BS78ln61KDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:59:54.054385Z"},"content_sha256":"bfb59207fe4bddc7bdebb74b39cc052043b323a2b564a00516895b9d66f73c3c","schema_version":"1.0","event_id":"sha256:bfb59207fe4bddc7bdebb74b39cc052043b323a2b564a00516895b9d66f73c3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM/bundle.json","state_url":"https://pith.science/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T17:59:54Z","links":{"resolver":"https://pith.science/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM","bundle":"https://pith.science/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM/bundle.json","state":"https://pith.science/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGHNIGTMMDRM7TKMVLN5SWAMRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XGHNIGTMMDRM7TKMVLN5SWAMRM","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":"249522f27d834ad5b74884574cf975cfec8d87c1fe5ed8bea02eb327af6a0a15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-08-13T16:05:53Z","title_canon_sha256":"c4e5f55b3387fe3595b03442dd979b5b1d3bb528f40908ae2ae036bb098c569e"},"schema_version":"1.0","source":{"id":"1608.03996","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03996","created_at":"2026-05-18T01:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03996v1","created_at":"2026-05-18T01:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03996","created_at":"2026-05-18T01:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"XGHNIGTMMDRM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XGHNIGTMMDRM7TKM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XGHNIGTM","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:bfb59207fe4bddc7bdebb74b39cc052043b323a2b564a00516895b9d66f73c3c","target":"graph","created_at":"2026-05-18T01:09:04Z","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 prove that every Lie derivation on a solid $\\star-$subalgebras of locally measurable operators it is equal to a sum of the associative derivation and the center-valued trace.","authors_text":"Ilkhom Juraev, Vladimir Chilin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-08-13T16:05:53Z","title":"Lie derivations on the algebras of locally measurable operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03996","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:ceb616f669d59dfc669103ee9ad16840b8082e919ece196817c9a743e4ab726f","target":"record","created_at":"2026-05-18T01:09:04Z","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":"249522f27d834ad5b74884574cf975cfec8d87c1fe5ed8bea02eb327af6a0a15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-08-13T16:05:53Z","title_canon_sha256":"c4e5f55b3387fe3595b03442dd979b5b1d3bb528f40908ae2ae036bb098c569e"},"schema_version":"1.0","source":{"id":"1608.03996","kind":"arxiv","version":1}},"canonical_sha256":"b98ed41a6c60e2cfcd4caadbd9580c8b1695eb940d02b04d92dab19531a0c7a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b98ed41a6c60e2cfcd4caadbd9580c8b1695eb940d02b04d92dab19531a0c7a2","first_computed_at":"2026-05-18T01:09:04.483377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:04.483377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dj3AsqAg6JCCFgRkT7jIwlmdpOYbsZBLCVFUMdxzzv7jrm4HvrwC2nJBKU0Qr+ZTboEyqj+5GqjcUUh0NtBNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:04.483829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.03996","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ceb616f669d59dfc669103ee9ad16840b8082e919ece196817c9a743e4ab726f","sha256:bfb59207fe4bddc7bdebb74b39cc052043b323a2b564a00516895b9d66f73c3c"],"state_sha256":"1ab2fa36e5b122322f7e6b05be929178bde7db770be599237fbe483dfacca4f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rf9+WPUoYTQQRWXsxJcKNXrJJduXpz+usrAzJDDKiuyefun3RCtqk67UcY5vwvliXrCIRbXZPy1z5YmPHBoAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T17:59:54.056239Z","bundle_sha256":"ab6f639e79edc3d5cba2f2a84c68ec4db811e038a346238d616439a5fa091442"}}