{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RWCRJEECTOPTJHQO2GSIRAUP5F","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":"3cfc70d579f004a47058e969f4e0feb93f14dd2181732f88c8c3d7d4d610c77a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-22T04:57:41Z","title_canon_sha256":"f94953c643ba0fd26d4c46ffb8235ce76ce14abba9d0b45ef32639e5989d5d3a"},"schema_version":"1.0","source":{"id":"1310.5798","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5798","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5798v2","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5798","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"RWCRJEECTOPT","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RWCRJEECTOPTJHQO","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RWCRJEEC","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:59c92a9d60bc363ba92cb171278699dd51bd394ed66f386e1f9716ec46b7ced9","target":"graph","created_at":"2026-05-18T01:09:32Z","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 obtain Gaussian-type lower bounds for the density of solutions to stochastic differential equations (SDEs) driven by a fractional Brownian motion with Hurst parameter $H$. In the one-dimensional case with additive noise, our study encompasses all parameters $H\\in(0,1)$, while the multidimensional case is restricted to the case $H>1/2$. We rely on a mix of pathwise methods for stochastic differential equations and stochastic analysis tools.","authors_text":"A. Kohatsu-Higa, M. Besal\\'u, S. Tindel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-22T04:57:41Z","title":"Gaussian-type lower bounds for the density of solutions of SDEs driven by fractional Brownian motions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5798","kind":"arxiv","version":2},"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":"sha256:418fcf262e87e7eb3a97d940c75accd4d050bbc8144a9727bfb4b749179d2fe7","target":"record","created_at":"2026-05-18T01:09:32Z","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":"3cfc70d579f004a47058e969f4e0feb93f14dd2181732f88c8c3d7d4d610c77a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-22T04:57:41Z","title_canon_sha256":"f94953c643ba0fd26d4c46ffb8235ce76ce14abba9d0b45ef32639e5989d5d3a"},"schema_version":"1.0","source":{"id":"1310.5798","kind":"arxiv","version":2}},"canonical_sha256":"8d851490829b9f349e0ed1a488828fe975e2db25b7eea51dcd458336650ed1dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d851490829b9f349e0ed1a488828fe975e2db25b7eea51dcd458336650ed1dc","first_computed_at":"2026-05-18T01:09:32.455285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:32.455285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"53/jZfy7r7sG8AkwEdM5Vv+mzz/A7ij5lUuH892YjqsfTFhr3orQk7f/jOfs23V5kzcLwnu6kda805D79Ol1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:32.455703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5798","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:418fcf262e87e7eb3a97d940c75accd4d050bbc8144a9727bfb4b749179d2fe7","sha256:59c92a9d60bc363ba92cb171278699dd51bd394ed66f386e1f9716ec46b7ced9"],"state_sha256":"00ba35f0d958faa1b81281a2d9c15a32bbc4eb0f61097b17ce1c47207791a47b"}