{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GF2GLAE5DOT5VB5MY5IKZ3DQJO","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":"34c7815b9641b44b16606fa3252040a13c37dad8ceaf36a9fc60dff110e604ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-02-21T13:38:06Z","title_canon_sha256":"2518859b104d8a143c31d9dee4ff524027ee7808e5ecdf67403f7bbd8fa3b4e9"},"schema_version":"1.0","source":{"id":"1202.4636","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4636","created_at":"2026-05-18T04:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4636v1","created_at":"2026-05-18T04:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4636","created_at":"2026-05-18T04:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"GF2GLAE5DOT5","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GF2GLAE5DOT5VB5M","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GF2GLAE5","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:d91a1e07098cd88d2c03a5178005782ba81ca00c9cec7bf16569272146d8c6e2","target":"graph","created_at":"2026-05-18T04:01:50Z","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":"In this paper we prove that any nonlinear Jordan derivation on triangular algebras is an additive derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest algebras over infinite dimensional Hilbert spaces is inner.","authors_text":"Zhankui Xiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-02-21T13:38:06Z","title":"Nonlinear Jordan Derivations of Triangular Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4636","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":"sha256:798f0214a29b4e142d9010eb24c0838cd55ae2283b52a6056fd142a7b444b2ec","target":"record","created_at":"2026-05-18T04:01:50Z","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":"34c7815b9641b44b16606fa3252040a13c37dad8ceaf36a9fc60dff110e604ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-02-21T13:38:06Z","title_canon_sha256":"2518859b104d8a143c31d9dee4ff524027ee7808e5ecdf67403f7bbd8fa3b4e9"},"schema_version":"1.0","source":{"id":"1202.4636","kind":"arxiv","version":1}},"canonical_sha256":"317465809d1ba7da87acc750acec704b9bb5b4ca1ed185882fd04ccad5b42613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"317465809d1ba7da87acc750acec704b9bb5b4ca1ed185882fd04ccad5b42613","first_computed_at":"2026-05-18T04:01:50.194217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:50.194217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0OkCJwfq096RRLtEk2QR7Uj4ZoE6qgSC7uarAE477dKXJQ5NkbsS//Ar/Ej5EQMu9wAe7FW6r222oJBVGp4/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:50.194723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4636","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:798f0214a29b4e142d9010eb24c0838cd55ae2283b52a6056fd142a7b444b2ec","sha256:d91a1e07098cd88d2c03a5178005782ba81ca00c9cec7bf16569272146d8c6e2"],"state_sha256":"cf26aa9402ee8ce4d851601e034873894b2a165594ccffe63f37641c0a3daa43"}