{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BAYYBQWP6ZBVWBJF3FZJ6F475W","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":"1fa03e1efb5bc6c9554c988a6226cce7c6593b0f83c3fa6bf0317ea4be5858c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-07-08T20:11:25Z","title_canon_sha256":"2885629e4a4b2d08c28cbe641e68d1526e78891c4fc0432b68e6fa64b4d5b77b"},"schema_version":"1.0","source":{"id":"1907.03845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03845","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03845v1","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03845","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"pith_short_12","alias_value":"BAYYBQWP6ZBV","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BAYYBQWP6ZBVWBJF","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BAYYBQWP","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:e7a928b74e934b13313993de2664bd7ce27d73e80d0bf20dd1fb0e97fdfca4ee","target":"graph","created_at":"2026-05-17T23:41:06Z","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":"In this article, we introduce the concepts of higher {g_n, h_n}-derivation and Jordan higher {g_n, h_n}-derivation, and then we give a characterization of higher {g_n, h_n}-derivations in terms of {g, h}-derivations. Using this result, we prove that every Jordan higher {g_n, h_n}-derivation on a semiprime algebra is a higher {g_n, h_n}-derivation.","authors_text":"Amin Hosseini, Nadeem Ur Rehman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-07-08T20:11:25Z","title":"On Higher {g_n, h_n}-derivations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03845","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":"sha256:412824d169c8759dc7bc7100aede07272e82fd5198be78bd7f7f25396ef46456","target":"record","created_at":"2026-05-17T23:41:06Z","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":"1fa03e1efb5bc6c9554c988a6226cce7c6593b0f83c3fa6bf0317ea4be5858c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-07-08T20:11:25Z","title_canon_sha256":"2885629e4a4b2d08c28cbe641e68d1526e78891c4fc0432b68e6fa64b4d5b77b"},"schema_version":"1.0","source":{"id":"1907.03845","kind":"arxiv","version":1}},"canonical_sha256":"083180c2cff6435b0525d9729f179fed81b3a52f2bd3ca771a0355edb1d6d88a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"083180c2cff6435b0525d9729f179fed81b3a52f2bd3ca771a0355edb1d6d88a","first_computed_at":"2026-05-17T23:41:06.613123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:06.613123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ksm0ay0RFvVdghU7QOiLNCqqStOSPyi86IHYZaQc9KT/k+4pt1sEO5U2SYvBC0+u58RpCmveqyni/SrzxNpAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:06.614029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:412824d169c8759dc7bc7100aede07272e82fd5198be78bd7f7f25396ef46456","sha256:e7a928b74e934b13313993de2664bd7ce27d73e80d0bf20dd1fb0e97fdfca4ee"],"state_sha256":"b88959f81a090d264d268dd60b21447d00000c27834d93b94ccdac6a1a559017"}