{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:YI7VOOW3WAFIEPISUJO7WOUOHS","short_pith_number":"pith:YI7VOOW3","schema_version":"1.0","canonical_sha256":"c23f573adbb00a823d12a25dfb3a8e3c8f6adf616c71e10f3bf7e9ee35fab0db","source":{"kind":"arxiv","id":"math/0408061","version":1},"attestation_state":"computed","paper":{"title":"Quasi-hom-Lie Algebras, Central Extensions and 2-cocycle-like Identities","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Daniel Larsson, Sergei Silvestrov","submitted_at":"2004-08-04T17:17:10Z","abstract_excerpt":"This paper begins by introducing the concept of a quasi-hom-Lie algebra which is a natural generalization of hom-Lie algebras introduced in a previous paper by the authors. Quasi-hom-Lie algebras include also as special cases (color) Lie algebras and superalgebras, and can be seen as deformations of these by homomorphisms, twisting the Jacobi identity and skew-symmetry. The natural realm for these quasi-hom-Lie algebras is as a generalization-deformation of the Witt algebra $\\Witt$ of derivations on the Laurent polynomials $\\C[t,t^{-1}]$. We also develop a theory of central extensions for qhl-"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0408061","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RA","submitted_at":"2004-08-04T17:17:10Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"e982f47f69b75b4e986d266cbfbbafc7050522497aa2ddcf4bb7a9efe3f58950","abstract_canon_sha256":"337cdcd79f140c92668b3f415e90d2a0fd7f9b2d3386316a2c68341506c44a5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:38:58.628872Z","signature_b64":"aLeLzLCe1yrlE+RKyhhehstu1blpEjrSh5jMVwMpp4PjkJIQBBSpsIYB0PssaNWTElUj3wk281aKsT44toXyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c23f573adbb00a823d12a25dfb3a8e3c8f6adf616c71e10f3bf7e9ee35fab0db","last_reissued_at":"2026-07-04T14:38:58.628460Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:38:58.628460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-hom-Lie Algebras, Central Extensions and 2-cocycle-like Identities","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Daniel Larsson, Sergei Silvestrov","submitted_at":"2004-08-04T17:17:10Z","abstract_excerpt":"This paper begins by introducing the concept of a quasi-hom-Lie algebra which is a natural generalization of hom-Lie algebras introduced in a previous paper by the authors. Quasi-hom-Lie algebras include also as special cases (color) Lie algebras and superalgebras, and can be seen as deformations of these by homomorphisms, twisting the Jacobi identity and skew-symmetry. The natural realm for these quasi-hom-Lie algebras is as a generalization-deformation of the Witt algebra $\\Witt$ of derivations on the Laurent polynomials $\\C[t,t^{-1}]$. We also develop a theory of central extensions for qhl-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0408061","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0408061/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0408061","created_at":"2026-07-04T14:38:58.628532+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0408061v1","created_at":"2026-07-04T14:38:58.628532+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0408061","created_at":"2026-07-04T14:38:58.628532+00:00"},{"alias_kind":"pith_short_12","alias_value":"YI7VOOW3WAFI","created_at":"2026-07-04T14:38:58.628532+00:00"},{"alias_kind":"pith_short_16","alias_value":"YI7VOOW3WAFIEPIS","created_at":"2026-07-04T14:38:58.628532+00:00"},{"alias_kind":"pith_short_8","alias_value":"YI7VOOW3","created_at":"2026-07-04T14:38:58.628532+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.09277","citing_title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS","json":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS.json","graph_json":"https://pith.science/api/pith-number/YI7VOOW3WAFIEPISUJO7WOUOHS/graph.json","events_json":"https://pith.science/api/pith-number/YI7VOOW3WAFIEPISUJO7WOUOHS/events.json","paper":"https://pith.science/paper/YI7VOOW3"},"agent_actions":{"view_html":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS","download_json":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS.json","view_paper":"https://pith.science/paper/YI7VOOW3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0408061&json=true","fetch_graph":"https://pith.science/api/pith-number/YI7VOOW3WAFIEPISUJO7WOUOHS/graph.json","fetch_events":"https://pith.science/api/pith-number/YI7VOOW3WAFIEPISUJO7WOUOHS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS/action/storage_attestation","attest_author":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS/action/author_attestation","sign_citation":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS/action/citation_signature","submit_replication":"https://pith.science/pith/YI7VOOW3WAFIEPISUJO7WOUOHS/action/replication_record"}},"created_at":"2026-07-04T14:38:58.628532+00:00","updated_at":"2026-07-04T14:38:58.628532+00:00"}