{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZVR2A33LREZWLRT5XVC53W3PQX","short_pith_number":"pith:ZVR2A33L","schema_version":"1.0","canonical_sha256":"cd63a06f6b893365c67dbd45dddb6f85e29d6c1e8b64df6b1f2ecd2ea83390cc","source":{"kind":"arxiv","id":"1501.04150","version":1},"attestation_state":"computed","paper":{"title":"Degenerate SDEs in Hilbert Spaces with Rough Drifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Feng-Yu Wang, Xicheng Zhang","submitted_at":"2015-01-17T03:09:00Z","abstract_excerpt":"The existence and uniqueness of mild solutions are proved for a class of degenerate stochastic differential equations on Hilbert spaces where the drift is Dini continuous in the component with noise and H\\\"older continuous of order larger than $\\ff 2 3$ in the other component.\n  In the finite-dimensional case the Dini continuity is further weakened. The main results are applied to solve second order stochastic systems driven by space-time white noises."},"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":"1501.04150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-17T03:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"d44a72f3324f3a4ab4b5ffbde3bea463a1453d36e4e1c1a414f9e22b789c5a51","abstract_canon_sha256":"eea7a8aefaf2287a19160359b9a10a7c268dada6b7d37702a9eb16b60167be20"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:09.925286Z","signature_b64":"OjXmzSzUvdnBktjJl+3vqjCCbeE+AIL8YI2ODdZHXD5uBVAve81h1HHwjSBhhQ3C8x75+hTAh3n7Hl7P6+YOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd63a06f6b893365c67dbd45dddb6f85e29d6c1e8b64df6b1f2ecd2ea83390cc","last_reissued_at":"2026-05-18T02:29:09.924612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:09.924612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Degenerate SDEs in Hilbert Spaces with Rough Drifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Feng-Yu Wang, Xicheng Zhang","submitted_at":"2015-01-17T03:09:00Z","abstract_excerpt":"The existence and uniqueness of mild solutions are proved for a class of degenerate stochastic differential equations on Hilbert spaces where the drift is Dini continuous in the component with noise and H\\\"older continuous of order larger than $\\ff 2 3$ in the other component.\n  In the finite-dimensional case the Dini continuity is further weakened. The main results are applied to solve second order stochastic systems driven by space-time white noises."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04150","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":"1501.04150","created_at":"2026-05-18T02:29:09.924728+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.04150v1","created_at":"2026-05-18T02:29:09.924728+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04150","created_at":"2026-05-18T02:29:09.924728+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZVR2A33LREZW","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZVR2A33LREZWLRT5","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZVR2A33L","created_at":"2026-05-18T12:29:52.810259+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/ZVR2A33LREZWLRT5XVC53W3PQX","json":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX.json","graph_json":"https://pith.science/api/pith-number/ZVR2A33LREZWLRT5XVC53W3PQX/graph.json","events_json":"https://pith.science/api/pith-number/ZVR2A33LREZWLRT5XVC53W3PQX/events.json","paper":"https://pith.science/paper/ZVR2A33L"},"agent_actions":{"view_html":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX","download_json":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX.json","view_paper":"https://pith.science/paper/ZVR2A33L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.04150&json=true","fetch_graph":"https://pith.science/api/pith-number/ZVR2A33LREZWLRT5XVC53W3PQX/graph.json","fetch_events":"https://pith.science/api/pith-number/ZVR2A33LREZWLRT5XVC53W3PQX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX/action/storage_attestation","attest_author":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX/action/author_attestation","sign_citation":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX/action/citation_signature","submit_replication":"https://pith.science/pith/ZVR2A33LREZWLRT5XVC53W3PQX/action/replication_record"}},"created_at":"2026-05-18T02:29:09.924728+00:00","updated_at":"2026-05-18T02:29:09.924728+00:00"}