{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SBVL2TLASW5KFBTGNXRZCFJYB6","short_pith_number":"pith:SBVL2TLA","schema_version":"1.0","canonical_sha256":"906abd4d6095baa286666de39115380fad9566caabd4c570c947a6e6a44fc824","source":{"kind":"arxiv","id":"1812.04556","version":3},"attestation_state":"computed","paper":{"title":"Asymptotic stability for stochastic dissipative systems with a H\\\"older noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Luu Hoang Duc, Nguyen Dinh Cong, Phan Thanh Hong","submitted_at":"2018-12-11T17:24:28Z","abstract_excerpt":"We prove the exponential stability of the zero solution of a stochastic differential equation with a H\\\"older noise, under the strong dissipativity assumption. As a result, we also prove that there exists a random pullback attractor for a stochastic system under a multiplicative fractional Brownian noise."},"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":"1812.04556","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-12-11T17:24:28Z","cross_cats_sorted":[],"title_canon_sha256":"d447d4452928be9aa49db2ec51016f8edebba6a73062310b4a1e8dc074266645","abstract_canon_sha256":"cf3bbc211ae060362ccbbcb63215b0d1f5587232de2aee685f5efe775ffd13af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:29.366360Z","signature_b64":"WdcEcp2QR+zwUQ8c2jvdAb6dtCSmcUZAQoHuOC46BdQgCyllaflYweyXtj3CgzP8TICvAnoi2cZ9kUFOkfAADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"906abd4d6095baa286666de39115380fad9566caabd4c570c947a6e6a44fc824","last_reissued_at":"2026-05-17T23:46:29.365745Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:29.365745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic stability for stochastic dissipative systems with a H\\\"older noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Luu Hoang Duc, Nguyen Dinh Cong, Phan Thanh Hong","submitted_at":"2018-12-11T17:24:28Z","abstract_excerpt":"We prove the exponential stability of the zero solution of a stochastic differential equation with a H\\\"older noise, under the strong dissipativity assumption. As a result, we also prove that there exists a random pullback attractor for a stochastic system under a multiplicative fractional Brownian noise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04556","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":"1812.04556","created_at":"2026-05-17T23:46:29.365843+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.04556v3","created_at":"2026-05-17T23:46:29.365843+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04556","created_at":"2026-05-17T23:46:29.365843+00:00"},{"alias_kind":"pith_short_12","alias_value":"SBVL2TLASW5K","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"SBVL2TLASW5KFBTG","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"SBVL2TLA","created_at":"2026-05-18T12:32:50.500415+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/SBVL2TLASW5KFBTGNXRZCFJYB6","json":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6.json","graph_json":"https://pith.science/api/pith-number/SBVL2TLASW5KFBTGNXRZCFJYB6/graph.json","events_json":"https://pith.science/api/pith-number/SBVL2TLASW5KFBTGNXRZCFJYB6/events.json","paper":"https://pith.science/paper/SBVL2TLA"},"agent_actions":{"view_html":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6","download_json":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6.json","view_paper":"https://pith.science/paper/SBVL2TLA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.04556&json=true","fetch_graph":"https://pith.science/api/pith-number/SBVL2TLASW5KFBTGNXRZCFJYB6/graph.json","fetch_events":"https://pith.science/api/pith-number/SBVL2TLASW5KFBTGNXRZCFJYB6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6/action/storage_attestation","attest_author":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6/action/author_attestation","sign_citation":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6/action/citation_signature","submit_replication":"https://pith.science/pith/SBVL2TLASW5KFBTGNXRZCFJYB6/action/replication_record"}},"created_at":"2026-05-17T23:46:29.365843+00:00","updated_at":"2026-05-17T23:46:29.365843+00:00"}