{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7ZS36VT3NGC7VBB46HHJ34FLLZ","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":"9f39321e6966aee93646157fbcf982b4c55573945f4ddb70f54ce36d07fc106e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-06-04T22:50:48Z","title_canon_sha256":"3d24d7ec8edf3011b4c327278db2861d7ad162f9a3b4ff4d619af8280a27adbe"},"schema_version":"1.0","source":{"id":"1806.02189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.02189","created_at":"2026-05-18T00:14:02Z"},{"alias_kind":"arxiv_version","alias_value":"1806.02189v1","created_at":"2026-05-18T00:14:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02189","created_at":"2026-05-18T00:14:02Z"},{"alias_kind":"pith_short_12","alias_value":"7ZS36VT3NGC7","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"7ZS36VT3NGC7VBB4","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"7ZS36VT3","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:90eb36ab80314be2f1aea3d2d37f4bfd8878f5c647a5329f80dd9ea892d699d1","target":"graph","created_at":"2026-05-18T00:14:02Z","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":"For a given ring $\\mathfrak{R}$ and a locally finite pre-ordered set $(X, \\leq)$, consider $I(X, \\mathfrak{R})$ to be the incidence algebra of $X$ over $\\mathfrak{R}$. Motivated by a Xiao's result which states that every Jordan derivation of $I(X,\\mathfrak{R})$ is a derivation in the case $\\mathfrak{R}$ is $2$-torsion free, one proves that each generalized Jordan derivation of $I(X,\\mathfrak{R})$ is a generalized derivation provided $\\mathfrak{R}$ is $2$-torsion free, getting as a consequence the above mentioned result.","authors_text":"Bruno Leonardo Macedo Ferreira, Ruth Nascimento Ferreira, Tanise Carnieri Pierin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-06-04T22:50:48Z","title":"Generalized Jordan derivations of Incidence Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02189","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:e3db2be3414deea266a28a41fbc62309a88c71b3408aa94443b4fc9730f9aa9d","target":"record","created_at":"2026-05-18T00:14:02Z","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":"9f39321e6966aee93646157fbcf982b4c55573945f4ddb70f54ce36d07fc106e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-06-04T22:50:48Z","title_canon_sha256":"3d24d7ec8edf3011b4c327278db2861d7ad162f9a3b4ff4d619af8280a27adbe"},"schema_version":"1.0","source":{"id":"1806.02189","kind":"arxiv","version":1}},"canonical_sha256":"fe65bf567b6985fa843cf1ce9df0ab5e446d1900b5594f99ddf374de57196ce1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe65bf567b6985fa843cf1ce9df0ab5e446d1900b5594f99ddf374de57196ce1","first_computed_at":"2026-05-18T00:14:02.411137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:02.411137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xMu24S0dl7YlOFG2ZcDHJoZlbB8xbXYgQtw+m+uO/pDiYWWKsabNQvjjxtWv8d/zrXvMQs1WgIAXDqvTH1vvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:02.411820Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.02189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3db2be3414deea266a28a41fbc62309a88c71b3408aa94443b4fc9730f9aa9d","sha256:90eb36ab80314be2f1aea3d2d37f4bfd8878f5c647a5329f80dd9ea892d699d1"],"state_sha256":"87de9798ea8a3e2430a58b50685c23f6b31d62748bbb4fcecf9ba20df89cfb2d"}