{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5MQ3YIEL37EZIFPJIHDAOGZLZR","short_pith_number":"pith:5MQ3YIEL","schema_version":"1.0","canonical_sha256":"eb21bc208bdfc99415e941c6071b2bcc6617f60c802e4a9368ea3248f8e200cd","source":{"kind":"arxiv","id":"1604.01174","version":2},"attestation_state":"computed","paper":{"title":"Strong convergence for the Euler-Maruyama approximation of stochastic differential equations with discontinuous coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dai Taguchi, Hoang-Long Ngo","submitted_at":"2016-04-05T08:42:59Z","abstract_excerpt":"In this paper we study the strong convergence for the Euler-Maruyama approximation of a class of stochastic differential equations whose both drift and diffusion coefficients are possibly discontinuous."},"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":"1604.01174","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-05T08:42:59Z","cross_cats_sorted":[],"title_canon_sha256":"2de9991399435bedac0814c654cdbc064a085dfa02811cca8f71559b39f67f65","abstract_canon_sha256":"fe710eec1d90983a9c13077cdd347cf29c710bafed5282cdd6a9656046512afd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:28.714917Z","signature_b64":"7c6seNBBJNYdl7wEbYXIoKEYaNCi4SBsUUD985FGu06Ic7tubf/5UamGY4/bNfX0FjniUMYH4oe8GrjeVvUsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb21bc208bdfc99415e941c6071b2bcc6617f60c802e4a9368ea3248f8e200cd","last_reissued_at":"2026-05-18T01:06:28.714292Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:28.714292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong convergence for the Euler-Maruyama approximation of stochastic differential equations with discontinuous coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dai Taguchi, Hoang-Long Ngo","submitted_at":"2016-04-05T08:42:59Z","abstract_excerpt":"In this paper we study the strong convergence for the Euler-Maruyama approximation of a class of stochastic differential equations whose both drift and diffusion coefficients are possibly discontinuous."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01174","kind":"arxiv","version":2},"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":"1604.01174","created_at":"2026-05-18T01:06:28.714420+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.01174v2","created_at":"2026-05-18T01:06:28.714420+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01174","created_at":"2026-05-18T01:06:28.714420+00:00"},{"alias_kind":"pith_short_12","alias_value":"5MQ3YIEL37EZ","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"5MQ3YIEL37EZIFPJ","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"5MQ3YIEL","created_at":"2026-05-18T12:30:01.593930+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/5MQ3YIEL37EZIFPJIHDAOGZLZR","json":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR.json","graph_json":"https://pith.science/api/pith-number/5MQ3YIEL37EZIFPJIHDAOGZLZR/graph.json","events_json":"https://pith.science/api/pith-number/5MQ3YIEL37EZIFPJIHDAOGZLZR/events.json","paper":"https://pith.science/paper/5MQ3YIEL"},"agent_actions":{"view_html":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR","download_json":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR.json","view_paper":"https://pith.science/paper/5MQ3YIEL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.01174&json=true","fetch_graph":"https://pith.science/api/pith-number/5MQ3YIEL37EZIFPJIHDAOGZLZR/graph.json","fetch_events":"https://pith.science/api/pith-number/5MQ3YIEL37EZIFPJIHDAOGZLZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR/action/storage_attestation","attest_author":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR/action/author_attestation","sign_citation":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR/action/citation_signature","submit_replication":"https://pith.science/pith/5MQ3YIEL37EZIFPJIHDAOGZLZR/action/replication_record"}},"created_at":"2026-05-18T01:06:28.714420+00:00","updated_at":"2026-05-18T01:06:28.714420+00:00"}