{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QDTXOIXSPQ2ZOKK75RCP2ZCB3O","short_pith_number":"pith:QDTXOIXS","schema_version":"1.0","canonical_sha256":"80e77722f27c3597295fec44fd6441db90b903dc7db4c0c1db9f1b1ca1404e08","source":{"kind":"arxiv","id":"1411.6123","version":1},"attestation_state":"computed","paper":{"title":"Jordan Derivations of Incidence Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Zhankui Xiao","submitted_at":"2014-11-22T12:25:20Z","abstract_excerpt":"Let $\\mathcal{R}$ be a commutative ring with identity, $I(X,\\mathcal{R})$ be the incidence algebra of a locally finite pre-ordered set $X$. In this note, we characterise the derivations of $I(X,\\mathcal{R})$ and prove that every Jordan derivation of $I(X,\\mathcal{R})$ is a derivation 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":"1411.6123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-11-22T12:25:20Z","cross_cats_sorted":[],"title_canon_sha256":"475679fea4df402fb2ea725ba8e255db0aaecb9a567ecd9e9b987207d729ed91","abstract_canon_sha256":"cc082594ae9ae228eee6e1dde013bf93bee97cc1c221cade1ae6687d643c2072"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:00.644567Z","signature_b64":"iuje3mPDALwbEl4q2+5c8BdXjOzrSoeD+12jVr4vQOoGnn8EIiz07zn2PZNc+FJoul099FL6vwxxQfVFV7t7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80e77722f27c3597295fec44fd6441db90b903dc7db4c0c1db9f1b1ca1404e08","last_reissued_at":"2026-05-18T02:33:00.644225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:00.644225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jordan Derivations of Incidence Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Zhankui Xiao","submitted_at":"2014-11-22T12:25:20Z","abstract_excerpt":"Let $\\mathcal{R}$ be a commutative ring with identity, $I(X,\\mathcal{R})$ be the incidence algebra of a locally finite pre-ordered set $X$. In this note, we characterise the derivations of $I(X,\\mathcal{R})$ and prove that every Jordan derivation of $I(X,\\mathcal{R})$ is a derivation provided that $\\mathcal{R}$ is $2$-torsion free."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6123","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":""},"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":"1411.6123","created_at":"2026-05-18T02:33:00.644278+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.6123v1","created_at":"2026-05-18T02:33:00.644278+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6123","created_at":"2026-05-18T02:33:00.644278+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDTXOIXSPQ2Z","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDTXOIXSPQ2ZOKK7","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDTXOIXS","created_at":"2026-05-18T12:28:43.426989+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/QDTXOIXSPQ2ZOKK75RCP2ZCB3O","json":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O.json","graph_json":"https://pith.science/api/pith-number/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/graph.json","events_json":"https://pith.science/api/pith-number/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/events.json","paper":"https://pith.science/paper/QDTXOIXS"},"agent_actions":{"view_html":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O","download_json":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O.json","view_paper":"https://pith.science/paper/QDTXOIXS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.6123&json=true","fetch_graph":"https://pith.science/api/pith-number/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/graph.json","fetch_events":"https://pith.science/api/pith-number/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/action/storage_attestation","attest_author":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/action/author_attestation","sign_citation":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/action/citation_signature","submit_replication":"https://pith.science/pith/QDTXOIXSPQ2ZOKK75RCP2ZCB3O/action/replication_record"}},"created_at":"2026-05-18T02:33:00.644278+00:00","updated_at":"2026-05-18T02:33:00.644278+00:00"}