{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4JT7TPNQ6OKU6V3HXYFF2DL55X","short_pith_number":"pith:4JT7TPNQ","schema_version":"1.0","canonical_sha256":"e267f9bdb0f3954f5767be0a5d0d7deddc5cb82adc1f1b49d63ae616a3c5ea56","source":{"kind":"arxiv","id":"1801.04517","version":1},"attestation_state":"computed","paper":{"title":"Polynomial stability of exact solution and a numerical method for stochastic differential equations with time-dependent delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Fang Xia, Guangqiang Lan, Qiushi Wang","submitted_at":"2018-01-14T06:20:45Z","abstract_excerpt":"Polynomial stability of exact solution and modified truncated Euler-Maruyama method for stochastic differential equations with time-dependent delay are investigated in this paper. By using the well known discrete semimartingale convergence theorem, sufficient conditions are obtained for both bounded and unbounded delay $\\delta$ to ensure the polynomial stability of the corresponding numerical approximation. Examples are presented to illustrate the conclusion."},"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":"1801.04517","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-14T06:20:45Z","cross_cats_sorted":[],"title_canon_sha256":"2b5898b65d8b1b148e82cc077f9e1f17ce8db31a20c48cf0f0953d709fc4afeb","abstract_canon_sha256":"3726957769dffea9767b4aa50613c58f18d78468d00d3f24564952398c30cc20"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:04.173760Z","signature_b64":"3qkPorH61ibGtoHZF6Ybb5w6r2fGwk+p9/GtZCSAtMDf01cBp4gOBTDuAaol5uXYT1zp5DfBUiLccTKyjbDxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e267f9bdb0f3954f5767be0a5d0d7deddc5cb82adc1f1b49d63ae616a3c5ea56","last_reissued_at":"2026-05-18T00:26:04.173126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:04.173126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polynomial stability of exact solution and a numerical method for stochastic differential equations with time-dependent delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Fang Xia, Guangqiang Lan, Qiushi Wang","submitted_at":"2018-01-14T06:20:45Z","abstract_excerpt":"Polynomial stability of exact solution and modified truncated Euler-Maruyama method for stochastic differential equations with time-dependent delay are investigated in this paper. By using the well known discrete semimartingale convergence theorem, sufficient conditions are obtained for both bounded and unbounded delay $\\delta$ to ensure the polynomial stability of the corresponding numerical approximation. Examples are presented to illustrate the conclusion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04517","kind":"arxiv","version":1},"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":"1801.04517","created_at":"2026-05-18T00:26:04.173237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.04517v1","created_at":"2026-05-18T00:26:04.173237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04517","created_at":"2026-05-18T00:26:04.173237+00:00"},{"alias_kind":"pith_short_12","alias_value":"4JT7TPNQ6OKU","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4JT7TPNQ6OKU6V3H","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4JT7TPNQ","created_at":"2026-05-18T12:32:05.422762+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/4JT7TPNQ6OKU6V3HXYFF2DL55X","json":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X.json","graph_json":"https://pith.science/api/pith-number/4JT7TPNQ6OKU6V3HXYFF2DL55X/graph.json","events_json":"https://pith.science/api/pith-number/4JT7TPNQ6OKU6V3HXYFF2DL55X/events.json","paper":"https://pith.science/paper/4JT7TPNQ"},"agent_actions":{"view_html":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X","download_json":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X.json","view_paper":"https://pith.science/paper/4JT7TPNQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.04517&json=true","fetch_graph":"https://pith.science/api/pith-number/4JT7TPNQ6OKU6V3HXYFF2DL55X/graph.json","fetch_events":"https://pith.science/api/pith-number/4JT7TPNQ6OKU6V3HXYFF2DL55X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X/action/storage_attestation","attest_author":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X/action/author_attestation","sign_citation":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X/action/citation_signature","submit_replication":"https://pith.science/pith/4JT7TPNQ6OKU6V3HXYFF2DL55X/action/replication_record"}},"created_at":"2026-05-18T00:26:04.173237+00:00","updated_at":"2026-05-18T00:26:04.173237+00:00"}