{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ARGVTRRFS2RKURN2JXGP7HVX6Z","short_pith_number":"pith:ARGVTRRF","schema_version":"1.0","canonical_sha256":"044d59c62596a2aa45ba4dccff9eb7f65ba0c7c822f8e3e7f27b53abdd427a7e","source":{"kind":"arxiv","id":"1701.08737","version":1},"attestation_state":"computed","paper":{"title":"Strongly mixed random errors in Mann's iteration algorithm for a contractive real function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Abdelnasser Dahmani, Hassina Arroudj, Idir Arab","submitted_at":"2017-01-30T18:12:55Z","abstract_excerpt":"This work deals with the Mann's stochastic iteration algorithm under strong mixing random errors. We establish the Fuk-Nagaev's inequalities that enable us to prove the almost complete convergence with its corresponding rate of convergence. Moreover, these inequalities give us the possibility of constructing a confidence interval for the unique fixed point. Finally, to check the feasibility and validity of our theoretical results, we consider some numerical examples, namely a classical example from astronomy."},"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":"1701.08737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-30T18:12:55Z","cross_cats_sorted":[],"title_canon_sha256":"e03ff2da14d51926eddfc005542014f704fcce0c88c05153a0e7c73873e315a5","abstract_canon_sha256":"64ff7b99e2bc95d8c5cbc2a34e7636733ef22b1306be870cea0af73315f71692"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:52.834043Z","signature_b64":"xEz0RgkPR/SyfB9MRWXlDb4wCELf9GUhWgAXszHdD/gd5wY2FNPX9k3jj53V/EbAo6zz2nBCijRl4AoYyiRFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"044d59c62596a2aa45ba4dccff9eb7f65ba0c7c822f8e3e7f27b53abdd427a7e","last_reissued_at":"2026-05-18T00:51:52.833353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:52.833353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strongly mixed random errors in Mann's iteration algorithm for a contractive real function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Abdelnasser Dahmani, Hassina Arroudj, Idir Arab","submitted_at":"2017-01-30T18:12:55Z","abstract_excerpt":"This work deals with the Mann's stochastic iteration algorithm under strong mixing random errors. We establish the Fuk-Nagaev's inequalities that enable us to prove the almost complete convergence with its corresponding rate of convergence. Moreover, these inequalities give us the possibility of constructing a confidence interval for the unique fixed point. Finally, to check the feasibility and validity of our theoretical results, we consider some numerical examples, namely a classical example from astronomy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08737","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":"1701.08737","created_at":"2026-05-18T00:51:52.833463+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.08737v1","created_at":"2026-05-18T00:51:52.833463+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08737","created_at":"2026-05-18T00:51:52.833463+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARGVTRRFS2RK","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARGVTRRFS2RKURN2","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARGVTRRF","created_at":"2026-05-18T12:31:05.417338+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/ARGVTRRFS2RKURN2JXGP7HVX6Z","json":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z.json","graph_json":"https://pith.science/api/pith-number/ARGVTRRFS2RKURN2JXGP7HVX6Z/graph.json","events_json":"https://pith.science/api/pith-number/ARGVTRRFS2RKURN2JXGP7HVX6Z/events.json","paper":"https://pith.science/paper/ARGVTRRF"},"agent_actions":{"view_html":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z","download_json":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z.json","view_paper":"https://pith.science/paper/ARGVTRRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.08737&json=true","fetch_graph":"https://pith.science/api/pith-number/ARGVTRRFS2RKURN2JXGP7HVX6Z/graph.json","fetch_events":"https://pith.science/api/pith-number/ARGVTRRFS2RKURN2JXGP7HVX6Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z/action/storage_attestation","attest_author":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z/action/author_attestation","sign_citation":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z/action/citation_signature","submit_replication":"https://pith.science/pith/ARGVTRRFS2RKURN2JXGP7HVX6Z/action/replication_record"}},"created_at":"2026-05-18T00:51:52.833463+00:00","updated_at":"2026-05-18T00:51:52.833463+00:00"}