{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ARW5ST7ESK2NH7EQ6XPH3YFU52","short_pith_number":"pith:ARW5ST7E","schema_version":"1.0","canonical_sha256":"046dd94fe492b4d3fc90f5de7de0b4eebeca3086ac532bff4dd2bd0e8252e3f4","source":{"kind":"arxiv","id":"1608.00110","version":2},"attestation_state":"computed","paper":{"title":"Lie Derivations of Incidence Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Mykola Khrypchenko, Xian Zhang","submitted_at":"2016-07-30T12:20:38Z","abstract_excerpt":"Let $X$ be a locally finite preordered set, $\\mathcal R$ a commutative ring with identity and $I(X,\\mathcal R)$ the incidence algebra of $X$ over $\\mathcal R$. In this note we prove that each Lie derivation of $I(X,\\mathcal R)$ is proper, provided that $\\mathcal R$ is $2$-torsion free."},"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":"1608.00110","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-07-30T12:20:38Z","cross_cats_sorted":[],"title_canon_sha256":"c36dc6013a5441242cbdb89190205822fb8aae217520e63820a0980e697ca243","abstract_canon_sha256":"75fc9f16e6072d4d81f40eb80a7e75d5fe44c62f4d2caa31b93a43911322d1a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:20.409126Z","signature_b64":"Q7k1/ai8MVMGhwHzrruSsD94qI+K0M15PUjdmfRNeC5kxBiIqGSCd+1HrM8P7k4OrHR2BR/fyRPpLe81hqxfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"046dd94fe492b4d3fc90f5de7de0b4eebeca3086ac532bff4dd2bd0e8252e3f4","last_reissued_at":"2026-05-18T01:06:20.408562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:20.408562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lie Derivations of Incidence Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Mykola Khrypchenko, Xian Zhang","submitted_at":"2016-07-30T12:20:38Z","abstract_excerpt":"Let $X$ be a locally finite preordered set, $\\mathcal R$ a commutative ring with identity and $I(X,\\mathcal R)$ the incidence algebra of $X$ over $\\mathcal R$. In this note we prove that each Lie derivation of $I(X,\\mathcal R)$ is proper, provided that $\\mathcal R$ is $2$-torsion free."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00110","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.00110","created_at":"2026-05-18T01:06:20.408661+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.00110v2","created_at":"2026-05-18T01:06:20.408661+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00110","created_at":"2026-05-18T01:06:20.408661+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARW5ST7ESK2N","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARW5ST7ESK2NH7EQ","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARW5ST7E","created_at":"2026-05-18T12:30:07.202191+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52","json":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52.json","graph_json":"https://pith.science/api/pith-number/ARW5ST7ESK2NH7EQ6XPH3YFU52/graph.json","events_json":"https://pith.science/api/pith-number/ARW5ST7ESK2NH7EQ6XPH3YFU52/events.json","paper":"https://pith.science/paper/ARW5ST7E"},"agent_actions":{"view_html":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52","download_json":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52.json","view_paper":"https://pith.science/paper/ARW5ST7E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.00110&json=true","fetch_graph":"https://pith.science/api/pith-number/ARW5ST7ESK2NH7EQ6XPH3YFU52/graph.json","fetch_events":"https://pith.science/api/pith-number/ARW5ST7ESK2NH7EQ6XPH3YFU52/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52/action/storage_attestation","attest_author":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52/action/author_attestation","sign_citation":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52/action/citation_signature","submit_replication":"https://pith.science/pith/ARW5ST7ESK2NH7EQ6XPH3YFU52/action/replication_record"}},"created_at":"2026-05-18T01:06:20.408661+00:00","updated_at":"2026-05-18T01:06:20.408661+00:00"}