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In this paper, we characterize the structure of a family $\\{L_n\\}_{n=0}^{\\infty}: \\mathrm{Alg}\\mathcal{L}\\rightarrow \\mathrm{Alg}\\mathcal{L}$ of linear mappings satisfying the condition\n  $$L_n([A, B])=\\sum_{i+j=n}[L_i(A), L_j(B)]$$ for any $A, B\\in\\mathrm{Alg}\\mathcal{L}$ with $AB = 0$. Moreover, the family $\\{L_n\\}_{n=0}^{\\infty}: \\mathrm{Alg}\\mathcal{L}\\rightarrow \\mathrm{Alg}\\mathcal"},"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":"1610.02188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-10-07T08:47:10Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"eb29967e54d035c07e0f08dab4b470c495155be647070b1eb0d1767eb807bb53","abstract_canon_sha256":"2b9e8227ecaf76240ece2c1995512fddac944982117f5669e51ba7d5a8b98472"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:58.147139Z","signature_b64":"SbH/hVjozRrbcGkQIKvKFBepjjnq7rmxBw56GAzk7MDJ/iSgenD3yGdKqnvbtdsyeyakiVkCnDhEheCio6bBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0443fcaed026ad18c2ee489c993fedc89c67a11656d5920a0672b4df57816010","last_reissued_at":"2026-05-18T01:02:58.146503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:58.146503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizations of Lie Higher Derivations on J-Subspace Lattice Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Dong Han, Feng Wei","submitted_at":"2016-10-07T08:47:10Z","abstract_excerpt":"Let $\\mathcal{L}$ be a $\\mathcal{J}$-subspace lattice on a Banach space $X$ over the real or complex field $\\mathbb{F}$ and $ \\mathrm{Alg}\\mathcal{L}$ be the associated $\\mathcal{J}$-subspace lattice algebras. In this paper, we characterize the structure of a family $\\{L_n\\}_{n=0}^{\\infty}: \\mathrm{Alg}\\mathcal{L}\\rightarrow \\mathrm{Alg}\\mathcal{L}$ of linear mappings satisfying the condition\n  $$L_n([A, B])=\\sum_{i+j=n}[L_i(A), L_j(B)]$$ for any $A, B\\in\\mathrm{Alg}\\mathcal{L}$ with $AB = 0$. Moreover, the family $\\{L_n\\}_{n=0}^{\\infty}: \\mathrm{Alg}\\mathcal{L}\\rightarrow \\mathrm{Alg}\\mathcal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02188","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":"1610.02188","created_at":"2026-05-18T01:02:58.146602+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.02188v1","created_at":"2026-05-18T01:02:58.146602+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02188","created_at":"2026-05-18T01:02:58.146602+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARB7ZLWQE2WR","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARB7ZLWQE2WRRQXO","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARB7ZLWQ","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/ARB7ZLWQE2WRRQXOJCOJSP7NZC","json":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC.json","graph_json":"https://pith.science/api/pith-number/ARB7ZLWQE2WRRQXOJCOJSP7NZC/graph.json","events_json":"https://pith.science/api/pith-number/ARB7ZLWQE2WRRQXOJCOJSP7NZC/events.json","paper":"https://pith.science/paper/ARB7ZLWQ"},"agent_actions":{"view_html":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC","download_json":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC.json","view_paper":"https://pith.science/paper/ARB7ZLWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.02188&json=true","fetch_graph":"https://pith.science/api/pith-number/ARB7ZLWQE2WRRQXOJCOJSP7NZC/graph.json","fetch_events":"https://pith.science/api/pith-number/ARB7ZLWQE2WRRQXOJCOJSP7NZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC/action/storage_attestation","attest_author":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC/action/author_attestation","sign_citation":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC/action/citation_signature","submit_replication":"https://pith.science/pith/ARB7ZLWQE2WRRQXOJCOJSP7NZC/action/replication_record"}},"created_at":"2026-05-18T01:02:58.146602+00:00","updated_at":"2026-05-18T01:02:58.146602+00:00"}