{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XIGYOIXVMVB5WLRAMESOWNXZ3K","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"270de02fd9a9f1d65677c6dd1d5a2aa64d969e1c96fdfc78b93bf945a9794d36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-06-06T05:46:16Z","title_canon_sha256":"24cf958d0ea6d1080dadf767c94f1d004094d8e95381815a025d86ca8e299d08"},"schema_version":"1.0","source":{"id":"1606.01618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01618","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01618v1","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01618","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"pith_short_12","alias_value":"XIGYOIXVMVB5","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XIGYOIXVMVB5WLRA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XIGYOIXV","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:55961dc8dc300eacd23b12bead68c316ca83cb3384b728593d9dcf2cab3ace93","target":"graph","created_at":"2026-05-18T01:12:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we prove an approximate continuity result for stochastic differential equations with normal reflections in domains satisfying Saisho's conditions, which together with the Wong-Zakai approximation result completes the support theorem for such diffusions in the uniform convergence topology. Also by adapting Millet and Sanz-Sol\\'{e}'s idea, we characterize in H\\\"{o}lder norm the support of diffusions reflected in domains satisfying the Lions-Sznitman conditions by proving limit theorems of adapted interpolations. Finally we apply the support theorem to establish a boundary-interior ","authors_text":"Jiagang Ren, Jing Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-06-06T05:46:16Z","title":"On approximate continuity and the support of reflected stochastic differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01618","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f9b39b27dcc177ce75f347c3fa475fac6124c4df1b4046bbc7b7c5593c58a013","target":"record","created_at":"2026-05-18T01:12:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"270de02fd9a9f1d65677c6dd1d5a2aa64d969e1c96fdfc78b93bf945a9794d36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-06-06T05:46:16Z","title_canon_sha256":"24cf958d0ea6d1080dadf767c94f1d004094d8e95381815a025d86ca8e299d08"},"schema_version":"1.0","source":{"id":"1606.01618","kind":"arxiv","version":1}},"canonical_sha256":"ba0d8722f56543db2e206124eb36f9dabc6a742c4536b9aa63d29df6c4351b49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba0d8722f56543db2e206124eb36f9dabc6a742c4536b9aa63d29df6c4351b49","first_computed_at":"2026-05-18T01:12:53.884683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:53.884683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pT/aUOHVVQtPhrg4JiyMgX/qjJbXkM9aX+9ssDYOaneeDqtQxyBkmqmVlPZA4tNcxZMI5Hj5LB1Lml8IPuG6Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:53.885009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.01618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9b39b27dcc177ce75f347c3fa475fac6124c4df1b4046bbc7b7c5593c58a013","sha256:55961dc8dc300eacd23b12bead68c316ca83cb3384b728593d9dcf2cab3ace93"],"state_sha256":"bad90bd137527540c374a68b6dbbdd60516a6dfbe2d1b0c11108874204e64444"}