{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BBVLQKD4QT6CUGZXWKR4G5TZH3","short_pith_number":"pith:BBVLQKD4","schema_version":"1.0","canonical_sha256":"086ab8287c84fc2a1b37b2a3c376793ef4e941d382377202bda8f98d493d503d","source":{"kind":"arxiv","id":"1707.01269","version":3},"attestation_state":"computed","paper":{"title":"Stein's method for rough paths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Laure Coutin (IMT), Laurent Decreusefond (LTCI)","submitted_at":"2017-07-05T09:23:17Z","abstract_excerpt":"The original Donsker theorem says that a standard random walk converges in  distribution to a Brownian motion in the space of continuous functions. It has  recently been extended to enriched random walks and enriched Brownian motion.  We use the Stein-Dirichlet method to precise the rate of this convergence  in the  topology of fractional Sobolev spaces."},"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":"1707.01269","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-05T09:23:17Z","cross_cats_sorted":[],"title_canon_sha256":"ae9624c992c4265b881666e1e433b27bbf5c57f616d49d4021aab265a65c1097","abstract_canon_sha256":"7a5b5293271c91b64acae95b20cd2cf51ced0343758bd973b15fd7f3ee9139c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:11.106350Z","signature_b64":"ZJOywUxTHdPXwXTp6RMq1tvak+JUBcrnAz2kYrRukpzsT5+3GVDtMHA7Sn4e1CwCy7fGD/RBM3okuN+HBYXHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"086ab8287c84fc2a1b37b2a3c376793ef4e941d382377202bda8f98d493d503d","last_reissued_at":"2026-05-18T00:13:11.105746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:11.105746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stein's method for rough paths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Laure Coutin (IMT), Laurent Decreusefond (LTCI)","submitted_at":"2017-07-05T09:23:17Z","abstract_excerpt":"The original Donsker theorem says that a standard random walk converges in  distribution to a Brownian motion in the space of continuous functions. It has  recently been extended to enriched random walks and enriched Brownian motion.  We use the Stein-Dirichlet method to precise the rate of this convergence  in the  topology of fractional Sobolev spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01269","kind":"arxiv","version":3},"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":"1707.01269","created_at":"2026-05-18T00:13:11.105850+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.01269v3","created_at":"2026-05-18T00:13:11.105850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01269","created_at":"2026-05-18T00:13:11.105850+00:00"},{"alias_kind":"pith_short_12","alias_value":"BBVLQKD4QT6C","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BBVLQKD4QT6CUGZX","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BBVLQKD4","created_at":"2026-05-18T12:31:08.081275+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/BBVLQKD4QT6CUGZXWKR4G5TZH3","json":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3.json","graph_json":"https://pith.science/api/pith-number/BBVLQKD4QT6CUGZXWKR4G5TZH3/graph.json","events_json":"https://pith.science/api/pith-number/BBVLQKD4QT6CUGZXWKR4G5TZH3/events.json","paper":"https://pith.science/paper/BBVLQKD4"},"agent_actions":{"view_html":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3","download_json":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3.json","view_paper":"https://pith.science/paper/BBVLQKD4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.01269&json=true","fetch_graph":"https://pith.science/api/pith-number/BBVLQKD4QT6CUGZXWKR4G5TZH3/graph.json","fetch_events":"https://pith.science/api/pith-number/BBVLQKD4QT6CUGZXWKR4G5TZH3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3/action/storage_attestation","attest_author":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3/action/author_attestation","sign_citation":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3/action/citation_signature","submit_replication":"https://pith.science/pith/BBVLQKD4QT6CUGZXWKR4G5TZH3/action/replication_record"}},"created_at":"2026-05-18T00:13:11.105850+00:00","updated_at":"2026-05-18T00:13:11.105850+00:00"}