{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:L45THVN6WCOU6PA647KSQZSSQP","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":"4b687704ba3c09cde1da0e8b78f0704d0f98b065e8f8af7215c4885a42fec4b7","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-12-10T17:59:23Z","title_canon_sha256":"4293c8d6e552d39f3d46c04f633f5fd94e7524dca8efb1094378126ee368e60c"},"schema_version":"1.0","source":{"id":"1512.03347","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.03347","created_at":"2026-05-18T01:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"1512.03347v1","created_at":"2026-05-18T01:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03347","created_at":"2026-05-18T01:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"L45THVN6WCOU","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L45THVN6WCOU6PA6","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L45THVN6","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:c83e8395e0da093323f21f1efdb4f82d936d01cc63473eea845dcdadf870f6f9","target":"graph","created_at":"2026-05-18T01:24:37Z","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 develop a cohomology theory for Jordan triples, including the infinite dimensional ones, by means of the cohomology of TKK Lie algebras. This enables us to apply Lie cohomological results to the setting of Jordan triples. Some preliminary results for von Neumann algebras are obtained.","authors_text":"Bernard Russo, Cho-Ho Chu","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-12-10T17:59:23Z","title":"Cohomology of Jordan triples via Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03347","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":"sha256:94f118cf8e3ad4672aba61bfb516dee60c2aab5bfbf6fb47c9765d8b47b6c079","target":"record","created_at":"2026-05-18T01:24:37Z","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":"4b687704ba3c09cde1da0e8b78f0704d0f98b065e8f8af7215c4885a42fec4b7","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-12-10T17:59:23Z","title_canon_sha256":"4293c8d6e552d39f3d46c04f633f5fd94e7524dca8efb1094378126ee368e60c"},"schema_version":"1.0","source":{"id":"1512.03347","kind":"arxiv","version":1}},"canonical_sha256":"5f3b33d5beb09d4f3c1ee7d528665283c24c8c700c519838b8bcdc7c4d337340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f3b33d5beb09d4f3c1ee7d528665283c24c8c700c519838b8bcdc7c4d337340","first_computed_at":"2026-05-18T01:24:37.381271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:37.381271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3LBeXEUeOJomcwaE37mLv9uV1xzHsYwwxoxurWA9G/lxde3EPpUjZUUz1hATKq9ER6wX5Ly3+9DOP5lX7XVuCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:37.381860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.03347","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94f118cf8e3ad4672aba61bfb516dee60c2aab5bfbf6fb47c9765d8b47b6c079","sha256:c83e8395e0da093323f21f1efdb4f82d936d01cc63473eea845dcdadf870f6f9"],"state_sha256":"ced0a472c8d39daa0231cd73a7df8e4920c2b1fa9778b18281961d198f58289a"}