{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KV5IXLDTHZB22VAIBX5I3J7TQW","short_pith_number":"pith:KV5IXLDT","schema_version":"1.0","canonical_sha256":"557a8bac733e43ad54080dfa8da7f385995361c0cbaf1432581bd814c81352d3","source":{"kind":"arxiv","id":"2507.11429","version":1},"attestation_state":"computed","paper":{"title":"Randomised Euler-Maruyama Method for SDEs with H\\\"older Continuous Drift Coefficient Driven by $\\alpha$-stable L\\'evy Process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Danqi Zhuang, Haitao Wang, Jianhai Bao, Yue Wu","submitted_at":"2025-07-15T15:52:55Z","abstract_excerpt":"In this paper, we examine the performance of randomised Euler-Maruyama (EM) method for additive time-inhomogeneous SDEs with an irregular drift driven by symmetric $\\alpha$-table process, $\\alpha\\in (1,2)$. In particular, the drift is assumed to be $\\beta$-H\\\"older continuous in time and bounded $\\eta$-H\\\"older continuous in space with $\\beta,\\eta\\in (0,1]$. The strong order of convergence of the randomised EM in $L^p$-norm is shown to be $1/2+(\\beta \\wedge (\\eta/\\alpha)\\wedge(1/2))-\\varepsilon$ for an arbitrary $\\varepsilon\\in (0,1/2)$, higher than the one of standard EM, which cannot exceed "},"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":"2507.11429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-07-15T15:52:55Z","cross_cats_sorted":[],"title_canon_sha256":"c4d6f778cf85e3b4dcb6751d093b6c87626ba0123d72f359dd927de0c66335c2","abstract_canon_sha256":"17b2a7cb97f1b9bf6296d8620a9bc5880ecce2a3ca16ee6a9431b4361a1970ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:37:39.123480Z","signature_b64":"Ago72WBw65v2M1mrWCEjW2DKwFck9K2lQb/+DDAiMIQvSK9OHernS3Pm/FY0d8IQ744Ilr315ruTyadKlIKCAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"557a8bac733e43ad54080dfa8da7f385995361c0cbaf1432581bd814c81352d3","last_reissued_at":"2026-07-05T11:37:39.122943Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:37:39.122943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Randomised Euler-Maruyama Method for SDEs with H\\\"older Continuous Drift Coefficient Driven by $\\alpha$-stable L\\'evy Process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Danqi Zhuang, Haitao Wang, Jianhai Bao, Yue Wu","submitted_at":"2025-07-15T15:52:55Z","abstract_excerpt":"In this paper, we examine the performance of randomised Euler-Maruyama (EM) method for additive time-inhomogeneous SDEs with an irregular drift driven by symmetric $\\alpha$-table process, $\\alpha\\in (1,2)$. In particular, the drift is assumed to be $\\beta$-H\\\"older continuous in time and bounded $\\eta$-H\\\"older continuous in space with $\\beta,\\eta\\in (0,1]$. The strong order of convergence of the randomised EM in $L^p$-norm is shown to be $1/2+(\\beta \\wedge (\\eta/\\alpha)\\wedge(1/2))-\\varepsilon$ for an arbitrary $\\varepsilon\\in (0,1/2)$, higher than the one of standard EM, which cannot exceed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.11429","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.11429/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2507.11429","created_at":"2026-07-05T11:37:39.123008+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.11429v1","created_at":"2026-07-05T11:37:39.123008+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.11429","created_at":"2026-07-05T11:37:39.123008+00:00"},{"alias_kind":"pith_short_12","alias_value":"KV5IXLDTHZB2","created_at":"2026-07-05T11:37:39.123008+00:00"},{"alias_kind":"pith_short_16","alias_value":"KV5IXLDTHZB22VAI","created_at":"2026-07-05T11:37:39.123008+00:00"},{"alias_kind":"pith_short_8","alias_value":"KV5IXLDT","created_at":"2026-07-05T11:37:39.123008+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/KV5IXLDTHZB22VAIBX5I3J7TQW","json":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW.json","graph_json":"https://pith.science/api/pith-number/KV5IXLDTHZB22VAIBX5I3J7TQW/graph.json","events_json":"https://pith.science/api/pith-number/KV5IXLDTHZB22VAIBX5I3J7TQW/events.json","paper":"https://pith.science/paper/KV5IXLDT"},"agent_actions":{"view_html":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW","download_json":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW.json","view_paper":"https://pith.science/paper/KV5IXLDT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.11429&json=true","fetch_graph":"https://pith.science/api/pith-number/KV5IXLDTHZB22VAIBX5I3J7TQW/graph.json","fetch_events":"https://pith.science/api/pith-number/KV5IXLDTHZB22VAIBX5I3J7TQW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW/action/storage_attestation","attest_author":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW/action/author_attestation","sign_citation":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW/action/citation_signature","submit_replication":"https://pith.science/pith/KV5IXLDTHZB22VAIBX5I3J7TQW/action/replication_record"}},"created_at":"2026-07-05T11:37:39.123008+00:00","updated_at":"2026-07-05T11:37:39.123008+00:00"}