{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QVX4VX7EW2YSBC7DY67HG72DEG","short_pith_number":"pith:QVX4VX7E","schema_version":"1.0","canonical_sha256":"856fcadfe4b6b1208be3c7be737f43218208a5a8fff3538d2679a0bc8a25d1fc","source":{"kind":"arxiv","id":"1803.07953","version":1},"attestation_state":"computed","paper":{"title":"Jordan left {g, h}-derivations over some algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Arindam Ghosh, Om Prakash","submitted_at":"2018-03-21T14:56:17Z","abstract_excerpt":"In this article, left {g, h}-derivation and Jordan left {g, h}-derivation on algebras are introduced. It is shown that there is no Jordan left {g, h}-derivation over $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$, for g not equal to h. Examples are given which show that every Jordan left $\\{g, h\\}$-derivation over $\\mathcal{T}_n(C)$, $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$ are not left $\\{g, h\\}$-derivations. Moreover, we characterize left $\\{g, h\\}$-derivation and Jordan left $\\{g, h\\}$-derivation over $\\mathcal{T}_n(C)$, $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$ respectivel"},"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":"1803.07953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-03-21T14:56:17Z","cross_cats_sorted":[],"title_canon_sha256":"d5f15864c3b9e967fdaac4fdc739a600d39ba3f7c6e0d8e9c86001e0938c5ef8","abstract_canon_sha256":"dd65cdec60c4596bbee609e941922cfab93687cbf4677611f5caaf4e986a60e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:28.421185Z","signature_b64":"daUWZQySMfvp1Klf5NA+zmR6mB/oWFVUvGgH4VlB9+oOUvpEyClgK2WrRmpo/AGrhujggKFoqm/VsIRljGp5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"856fcadfe4b6b1208be3c7be737f43218208a5a8fff3538d2679a0bc8a25d1fc","last_reissued_at":"2026-05-18T00:20:28.420746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:28.420746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jordan left {g, h}-derivations over some algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Arindam Ghosh, Om Prakash","submitted_at":"2018-03-21T14:56:17Z","abstract_excerpt":"In this article, left {g, h}-derivation and Jordan left {g, h}-derivation on algebras are introduced. It is shown that there is no Jordan left {g, h}-derivation over $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$, for g not equal to h. Examples are given which show that every Jordan left $\\{g, h\\}$-derivation over $\\mathcal{T}_n(C)$, $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$ are not left $\\{g, h\\}$-derivations. Moreover, we characterize left $\\{g, h\\}$-derivation and Jordan left $\\{g, h\\}$-derivation over $\\mathcal{T}_n(C)$, $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$ respectivel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07953","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":"1803.07953","created_at":"2026-05-18T00:20:28.420809+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.07953v1","created_at":"2026-05-18T00:20:28.420809+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.07953","created_at":"2026-05-18T00:20:28.420809+00:00"},{"alias_kind":"pith_short_12","alias_value":"QVX4VX7EW2YS","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QVX4VX7EW2YSBC7D","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QVX4VX7E","created_at":"2026-05-18T12:32:46.962924+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/QVX4VX7EW2YSBC7DY67HG72DEG","json":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG.json","graph_json":"https://pith.science/api/pith-number/QVX4VX7EW2YSBC7DY67HG72DEG/graph.json","events_json":"https://pith.science/api/pith-number/QVX4VX7EW2YSBC7DY67HG72DEG/events.json","paper":"https://pith.science/paper/QVX4VX7E"},"agent_actions":{"view_html":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG","download_json":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG.json","view_paper":"https://pith.science/paper/QVX4VX7E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.07953&json=true","fetch_graph":"https://pith.science/api/pith-number/QVX4VX7EW2YSBC7DY67HG72DEG/graph.json","fetch_events":"https://pith.science/api/pith-number/QVX4VX7EW2YSBC7DY67HG72DEG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG/action/storage_attestation","attest_author":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG/action/author_attestation","sign_citation":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG/action/citation_signature","submit_replication":"https://pith.science/pith/QVX4VX7EW2YSBC7DY67HG72DEG/action/replication_record"}},"created_at":"2026-05-18T00:20:28.420809+00:00","updated_at":"2026-05-18T00:20:28.420809+00:00"}