{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JV7EBBI5TCATS2C4VWLG2YZ6WB","short_pith_number":"pith:JV7EBBI5","schema_version":"1.0","canonical_sha256":"4d7e40851d988139685cad966d633eb07da7d1bc35dc08ff8f87461ce7f162be","source":{"kind":"arxiv","id":"1709.04480","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic error distribution for the Euler scheme with locally Lipschitz coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jaime San Martin, Lisha Qiu, Philip Protter","submitted_at":"2017-09-13T18:01:40Z","abstract_excerpt":"In traditional work on numerical schemes for solving stochastic differential equations (SDEs), it is usually assumed that the coefficients are globally Lipschitz. This assumption has been used to establish a powerful analysis of the numerical approximations of the solutions of stochastic differential equations. In practice, however, the globally Lipschitz assumption on the coefficients is on occasion too stringent a requirement to meet. Some Brownian motion driven SDEs used in applications have coefficients that are Lipschitz only on compact sets. Reflecting the importance of the locally Lipsc"},"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":"1709.04480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-13T18:01:40Z","cross_cats_sorted":[],"title_canon_sha256":"bcd8bdefb93301ff21ed5f8ac6284fc3764241a30258340d1668624385598155","abstract_canon_sha256":"a60abb3ec7400ca5450ed0c01a541b79254f68d189f870a249033d5a562d2f71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:13.344471Z","signature_b64":"QZ6QeqGQv0vn59WT+nrD/d6MB5etWSvYkfESu3Q3K3IyQ5VSrAvdJMXyQ6JJIkcmmugxFMqr6OqWMa0iwALCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d7e40851d988139685cad966d633eb07da7d1bc35dc08ff8f87461ce7f162be","last_reissued_at":"2026-05-18T00:35:13.343966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:13.343966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic error distribution for the Euler scheme with locally Lipschitz coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jaime San Martin, Lisha Qiu, Philip Protter","submitted_at":"2017-09-13T18:01:40Z","abstract_excerpt":"In traditional work on numerical schemes for solving stochastic differential equations (SDEs), it is usually assumed that the coefficients are globally Lipschitz. This assumption has been used to establish a powerful analysis of the numerical approximations of the solutions of stochastic differential equations. In practice, however, the globally Lipschitz assumption on the coefficients is on occasion too stringent a requirement to meet. Some Brownian motion driven SDEs used in applications have coefficients that are Lipschitz only on compact sets. Reflecting the importance of the locally Lipsc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04480","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":"1709.04480","created_at":"2026-05-18T00:35:13.344044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.04480v1","created_at":"2026-05-18T00:35:13.344044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04480","created_at":"2026-05-18T00:35:13.344044+00:00"},{"alias_kind":"pith_short_12","alias_value":"JV7EBBI5TCAT","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"JV7EBBI5TCATS2C4","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"JV7EBBI5","created_at":"2026-05-18T12:31:24.725408+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/JV7EBBI5TCATS2C4VWLG2YZ6WB","json":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB.json","graph_json":"https://pith.science/api/pith-number/JV7EBBI5TCATS2C4VWLG2YZ6WB/graph.json","events_json":"https://pith.science/api/pith-number/JV7EBBI5TCATS2C4VWLG2YZ6WB/events.json","paper":"https://pith.science/paper/JV7EBBI5"},"agent_actions":{"view_html":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB","download_json":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB.json","view_paper":"https://pith.science/paper/JV7EBBI5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.04480&json=true","fetch_graph":"https://pith.science/api/pith-number/JV7EBBI5TCATS2C4VWLG2YZ6WB/graph.json","fetch_events":"https://pith.science/api/pith-number/JV7EBBI5TCATS2C4VWLG2YZ6WB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB/action/storage_attestation","attest_author":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB/action/author_attestation","sign_citation":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB/action/citation_signature","submit_replication":"https://pith.science/pith/JV7EBBI5TCATS2C4VWLG2YZ6WB/action/replication_record"}},"created_at":"2026-05-18T00:35:13.344044+00:00","updated_at":"2026-05-18T00:35:13.344044+00:00"}