{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HOYZIEPHJK77N4FYEPMLZD57F3","short_pith_number":"pith:HOYZIEPH","schema_version":"1.0","canonical_sha256":"3bb19411e74abff6f0b823d8bc8fbf2eddbddffef208475366cd42d8689a6301","source":{"kind":"arxiv","id":"1511.00191","version":1},"attestation_state":"computed","paper":{"title":"Mixed stochastic differential equations: Existence and uniqueness result","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"El Hassan Essaky, Jos\\'e Lu\\'is da Silva, Mohamed Erraoui","submitted_at":"2015-11-01T00:07:26Z","abstract_excerpt":"In this paper we shall establish an existence and uniqueness result for solutions of multidimensional, time dependent, stochastic differential equations driven simultaneously by a multidimensional fractional Brownian motion with Hurst parameter $H > \\frac{1}{2} and a multidimensional standard Brownian motion under a weaker condition than the Lipschitz one."},"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":"1511.00191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-11-01T00:07:26Z","cross_cats_sorted":[],"title_canon_sha256":"21f18f84dc3459eff9057643e9b10ae904d91e907d3ceb18d218849f9c4a17c6","abstract_canon_sha256":"a39c7f585199dc1316ffc2b74c14321ea46ebd5f6b6c7709d1ed2a9ba120d61d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:12.997115Z","signature_b64":"CO9D6BaJUiiZHHu9e5FCd6Kh3jPs0W8oDPCw9uM5DfgaRVmhwhZQItglh0Qzx/JqsLwYBv//96TbS9Rc3IpABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bb19411e74abff6f0b823d8bc8fbf2eddbddffef208475366cd42d8689a6301","last_reissued_at":"2026-05-18T01:28:12.996515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:12.996515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixed stochastic differential equations: Existence and uniqueness result","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"El Hassan Essaky, Jos\\'e Lu\\'is da Silva, Mohamed Erraoui","submitted_at":"2015-11-01T00:07:26Z","abstract_excerpt":"In this paper we shall establish an existence and uniqueness result for solutions of multidimensional, time dependent, stochastic differential equations driven simultaneously by a multidimensional fractional Brownian motion with Hurst parameter $H > \\frac{1}{2} and a multidimensional standard Brownian motion under a weaker condition than the Lipschitz one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00191","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":"1511.00191","created_at":"2026-05-18T01:28:12.996601+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.00191v1","created_at":"2026-05-18T01:28:12.996601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00191","created_at":"2026-05-18T01:28:12.996601+00:00"},{"alias_kind":"pith_short_12","alias_value":"HOYZIEPHJK77","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HOYZIEPHJK77N4FY","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HOYZIEPH","created_at":"2026-05-18T12:29:25.134429+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/HOYZIEPHJK77N4FYEPMLZD57F3","json":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3.json","graph_json":"https://pith.science/api/pith-number/HOYZIEPHJK77N4FYEPMLZD57F3/graph.json","events_json":"https://pith.science/api/pith-number/HOYZIEPHJK77N4FYEPMLZD57F3/events.json","paper":"https://pith.science/paper/HOYZIEPH"},"agent_actions":{"view_html":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3","download_json":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3.json","view_paper":"https://pith.science/paper/HOYZIEPH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.00191&json=true","fetch_graph":"https://pith.science/api/pith-number/HOYZIEPHJK77N4FYEPMLZD57F3/graph.json","fetch_events":"https://pith.science/api/pith-number/HOYZIEPHJK77N4FYEPMLZD57F3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3/action/storage_attestation","attest_author":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3/action/author_attestation","sign_citation":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3/action/citation_signature","submit_replication":"https://pith.science/pith/HOYZIEPHJK77N4FYEPMLZD57F3/action/replication_record"}},"created_at":"2026-05-18T01:28:12.996601+00:00","updated_at":"2026-05-18T01:28:12.996601+00:00"}