{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4AXS2Q3M5RQBZPELSHWIECPWRG","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":"22faa93be267c1d3dc6ce43e58746a94a21651622afdb39b0bab7435977ba16d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-17T08:28:57Z","title_canon_sha256":"1eed76686c3c6201de9fbc5f23462625f8a2cc48bd80d751ca358dd3b31a60f9"},"schema_version":"1.0","source":{"id":"2304.08067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.08067","created_at":"2026-07-05T06:01:38Z"},{"alias_kind":"arxiv_version","alias_value":"2304.08067v1","created_at":"2026-07-05T06:01:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.08067","created_at":"2026-07-05T06:01:38Z"},{"alias_kind":"pith_short_12","alias_value":"4AXS2Q3M5RQB","created_at":"2026-07-05T06:01:38Z"},{"alias_kind":"pith_short_16","alias_value":"4AXS2Q3M5RQBZPEL","created_at":"2026-07-05T06:01:38Z"},{"alias_kind":"pith_short_8","alias_value":"4AXS2Q3M","created_at":"2026-07-05T06:01:38Z"}],"graph_snapshots":[{"event_id":"sha256:928ae1bb781ffcaf41a82afdf11077176ba437a97d831b758338542a0c591ad4","target":"graph","created_at":"2026-07-05T06:01:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.08067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathcal{R}$ be a finite Lie conformal algebra. In this paper, we first investigate the conformal derivation algebra $CDer(\\mathcal{R})$, the conformal triple derivation algebra $CTDer(\\mathcal{R})$ and the generalized conformal triple derivation algebra $GCTDer(\\mathcal{R})$. Mainly, we focus on the connections among these derivation algebras. Next, we give a complete classification of (generalized) conformal triple derivation algebras on all finite simple Lie conformal algebras. In particular, $CTDer(\\mathcal{R})= CDer(\\mathcal{R})$, where $\\mathcal{R}$ is a finite simple Lie conformal ","authors_text":"Lipeng Luo, Sania Asif, Yanyong Hong, Zhixiang Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-17T08:28:57Z","title":"Conformal triple derivations and triple homomorphisms of Lie conformal algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.08067","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":"sha256:83c8aac3fe6afa3447311b4c21fb2ea33e89d54395402da41e302696e312f061","target":"record","created_at":"2026-07-05T06:01:38Z","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":"22faa93be267c1d3dc6ce43e58746a94a21651622afdb39b0bab7435977ba16d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-17T08:28:57Z","title_canon_sha256":"1eed76686c3c6201de9fbc5f23462625f8a2cc48bd80d751ca358dd3b31a60f9"},"schema_version":"1.0","source":{"id":"2304.08067","kind":"arxiv","version":1}},"canonical_sha256":"e02f2d436cec601cbc8b91ec8209f689b090f6ef97a9bbb5112553bcad9c567a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e02f2d436cec601cbc8b91ec8209f689b090f6ef97a9bbb5112553bcad9c567a","first_computed_at":"2026-07-05T06:01:38.986752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:01:38.986752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+a/NkjOkl3aUBc45DGEVcWxfjLQ8rfSZHRZu6+s1gBFjmpeFLlaR1PSgqMf4Qql8Oq/knrQeDifAD55BXXWiBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:01:38.987213Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.08067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83c8aac3fe6afa3447311b4c21fb2ea33e89d54395402da41e302696e312f061","sha256:928ae1bb781ffcaf41a82afdf11077176ba437a97d831b758338542a0c591ad4"],"state_sha256":"8cc11eebaa488629b138e200c782ad03301f176c725e777d1706ef5a99b6edc3"}