{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3NZ2636FGC63IN5LTAPABEJJF4","short_pith_number":"pith:3NZ2636F","canonical_record":{"source":{"id":"1409.5951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-21T07:23:52Z","cross_cats_sorted":[],"title_canon_sha256":"9159b84a341369a2ea0f02f35a37d4f3ea60900cb457393020c60ed2820d7dec","abstract_canon_sha256":"fd9cd9b33a9c6ec7988a7fc6c8ffa59580ae93ce51603c45473064ad60211032"},"schema_version":"1.0"},"canonical_sha256":"db73af6fc530bdb437ab981e0091292f28cad06770439948bd2b9400a92d2ad8","source":{"kind":"arxiv","id":"1409.5951","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5951","created_at":"2026-05-18T02:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5951v1","created_at":"2026-05-18T02:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5951","created_at":"2026-05-18T02:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"3NZ2636FGC63","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3NZ2636FGC63IN5L","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3NZ2636F","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3NZ2636FGC63IN5LTAPABEJJF4","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-21T07:23:52Z","cross_cats_sorted":[],"title_canon_sha256":"9159b84a341369a2ea0f02f35a37d4f3ea60900cb457393020c60ed2820d7dec","abstract_canon_sha256":"fd9cd9b33a9c6ec7988a7fc6c8ffa59580ae93ce51603c45473064ad60211032"},"schema_version":"1.0"},"canonical_sha256":"db73af6fc530bdb437ab981e0091292f28cad06770439948bd2b9400a92d2ad8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:14.078073Z","signature_b64":"hQdDJgmH1wSW8mcfi+y68SD/FMxs0ozZuCSl0nwx3RcfBK6FzE/p8TiTTzP4a+wnV9ipPmn1gcBT58rA2t/rAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db73af6fc530bdb437ab981e0091292f28cad06770439948bd2b9400a92d2ad8","last_reissued_at":"2026-05-18T02:42:14.077694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:14.077694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5951","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xIMkZ0hQp52+kBmtlqbwyVquP2UNMiYqoJaLIn2zMGO5upckCICoOLrEkQ8CxMy3WlIPwakZD/65B0ZUIVYoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T00:57:32.879654Z"},"content_sha256":"e90713dfb10a1bcdd8147b6a855f9a78c8a6a785c8145e914e0806468f845b11","schema_version":"1.0","event_id":"sha256:e90713dfb10a1bcdd8147b6a855f9a78c8a6a785c8145e914e0806468f845b11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3NZ2636FGC63IN5LTAPABEJJF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rings in which power values of K-Engels with derivations annihilate a certain element","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Shervin Sahebi, Venus Rahmani","submitted_at":"2014-09-21T07:23:52Z","abstract_excerpt":"Let R be a 2 torsion free semiprime ring and d a nonzero derivation. Further let A = O(R) be the orthogonal completion of R and B = B(C) the Boolean ring of C where C be the extended centroid of R. We show that if a[[d(x),x]^n- [y, d(y)]^m]^t = 0 such that a in R for all x, y in R, where m, n, t > 0 are fixed integers, then there exists an idempotent e in B such that eA is a commutative ring and d induce a zero derivation on (1-e)A."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5951","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g+zRVZdmK9Fx3T2Vf5bsJnybjL93M8GimUqUhcUNbsvL8iSbVKZDknV40ZcICmsXOd8hEh1Fx743b8dl9KABAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T00:57:32.879991Z"},"content_sha256":"26f4a6f1e84485f5667a02c80da4f3e5a18d431df55bca275853843c1ac37493","schema_version":"1.0","event_id":"sha256:26f4a6f1e84485f5667a02c80da4f3e5a18d431df55bca275853843c1ac37493"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3NZ2636FGC63IN5LTAPABEJJF4/bundle.json","state_url":"https://pith.science/pith/3NZ2636FGC63IN5LTAPABEJJF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3NZ2636FGC63IN5LTAPABEJJF4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T00:57:32Z","links":{"resolver":"https://pith.science/pith/3NZ2636FGC63IN5LTAPABEJJF4","bundle":"https://pith.science/pith/3NZ2636FGC63IN5LTAPABEJJF4/bundle.json","state":"https://pith.science/pith/3NZ2636FGC63IN5LTAPABEJJF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3NZ2636FGC63IN5LTAPABEJJF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3NZ2636FGC63IN5LTAPABEJJF4","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":"fd9cd9b33a9c6ec7988a7fc6c8ffa59580ae93ce51603c45473064ad60211032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-21T07:23:52Z","title_canon_sha256":"9159b84a341369a2ea0f02f35a37d4f3ea60900cb457393020c60ed2820d7dec"},"schema_version":"1.0","source":{"id":"1409.5951","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5951","created_at":"2026-05-18T02:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5951v1","created_at":"2026-05-18T02:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5951","created_at":"2026-05-18T02:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"3NZ2636FGC63","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3NZ2636FGC63IN5L","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3NZ2636F","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:26f4a6f1e84485f5667a02c80da4f3e5a18d431df55bca275853843c1ac37493","target":"graph","created_at":"2026-05-18T02:42:14Z","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":"Let R be a 2 torsion free semiprime ring and d a nonzero derivation. Further let A = O(R) be the orthogonal completion of R and B = B(C) the Boolean ring of C where C be the extended centroid of R. We show that if a[[d(x),x]^n- [y, d(y)]^m]^t = 0 such that a in R for all x, y in R, where m, n, t > 0 are fixed integers, then there exists an idempotent e in B such that eA is a commutative ring and d induce a zero derivation on (1-e)A.","authors_text":"Shervin Sahebi, Venus Rahmani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-21T07:23:52Z","title":"Rings in which power values of K-Engels with derivations annihilate a certain element"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5951","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:e90713dfb10a1bcdd8147b6a855f9a78c8a6a785c8145e914e0806468f845b11","target":"record","created_at":"2026-05-18T02:42:14Z","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":"fd9cd9b33a9c6ec7988a7fc6c8ffa59580ae93ce51603c45473064ad60211032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-21T07:23:52Z","title_canon_sha256":"9159b84a341369a2ea0f02f35a37d4f3ea60900cb457393020c60ed2820d7dec"},"schema_version":"1.0","source":{"id":"1409.5951","kind":"arxiv","version":1}},"canonical_sha256":"db73af6fc530bdb437ab981e0091292f28cad06770439948bd2b9400a92d2ad8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db73af6fc530bdb437ab981e0091292f28cad06770439948bd2b9400a92d2ad8","first_computed_at":"2026-05-18T02:42:14.077694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:14.077694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hQdDJgmH1wSW8mcfi+y68SD/FMxs0ozZuCSl0nwx3RcfBK6FzE/p8TiTTzP4a+wnV9ipPmn1gcBT58rA2t/rAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:14.078073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5951","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e90713dfb10a1bcdd8147b6a855f9a78c8a6a785c8145e914e0806468f845b11","sha256:26f4a6f1e84485f5667a02c80da4f3e5a18d431df55bca275853843c1ac37493"],"state_sha256":"e39b8b6e0b370453f68e4ae889cbd511d0b22abf96184c5cec9823ef6919e13e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40sx4DZgdrnwMfA/G02Ky6qvk4smgNXrsppDX8SmYXFhapex6CcEoINhBbJHOHbq//xUWkt4TDq+ybkExi8BBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T00:57:32.881884Z","bundle_sha256":"a55932772e8b54c84bf992d77a6f24d5f40ae7e27b2ea9903a118ea4255923bf"}}