{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5BMH2WAKZTKKC6IFDQFW6OSYFM","short_pith_number":"pith:5BMH2WAK","schema_version":"1.0","canonical_sha256":"e8587d580accd4a179051c0b6f3a582b17827f785e788dea7106beb8a7bed18b","source":{"kind":"arxiv","id":"1105.1480","version":1},"attestation_state":"computed","paper":{"title":"H\\\"{o}lder Continuity of the Solution for a Class of Nonlinear SPDE Arising from One Dimensional Superprocesses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"David Nualart, Fei Lu, Yaozhong Hu","submitted_at":"2011-05-07T23:50:02Z","abstract_excerpt":"The H\\\"older continuity of the solution to a nonlinear stochastic partial differential equation arising from one dimensional super process is obtained. It is proved that the H\\\"older exponent in time variable is as close as to 1/4, improving the result of 1/10 in a recent paper by Li et al [3]. The method is to use the Malliavin calculus. The H\\\"older continuity in spatial variable x of exponent 1/2 is also obtained by using this new approach. This H\\\"older continuity result is sharp since the corresponding linear heat equation has the same H\\\"older continuity."},"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":"1105.1480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-05-07T23:50:02Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c68a7019aae2e4f48014870a22d54bdef047982e736450cc612f14760bcf1664","abstract_canon_sha256":"5abf632e7a0b492e16525fb02b56dce2e57951e9399b088faded4bfc71ad63e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:39.352946Z","signature_b64":"9gH3D0W8X5q5KEwtu8Rs6x343lSK/e6dGe/uG6MIKfQw0IlpzDiiNLHlEkbKIE98GtcMuuj7RhBCG7lBpdC9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8587d580accd4a179051c0b6f3a582b17827f785e788dea7106beb8a7bed18b","last_reissued_at":"2026-05-18T04:22:39.352580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:39.352580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"H\\\"{o}lder Continuity of the Solution for a Class of Nonlinear SPDE Arising from One Dimensional Superprocesses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"David Nualart, Fei Lu, Yaozhong Hu","submitted_at":"2011-05-07T23:50:02Z","abstract_excerpt":"The H\\\"older continuity of the solution to a nonlinear stochastic partial differential equation arising from one dimensional super process is obtained. It is proved that the H\\\"older exponent in time variable is as close as to 1/4, improving the result of 1/10 in a recent paper by Li et al [3]. The method is to use the Malliavin calculus. The H\\\"older continuity in spatial variable x of exponent 1/2 is also obtained by using this new approach. This H\\\"older continuity result is sharp since the corresponding linear heat equation has the same H\\\"older continuity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1480","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":"1105.1480","created_at":"2026-05-18T04:22:39.352638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.1480v1","created_at":"2026-05-18T04:22:39.352638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1480","created_at":"2026-05-18T04:22:39.352638+00:00"},{"alias_kind":"pith_short_12","alias_value":"5BMH2WAKZTKK","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5BMH2WAKZTKKC6IF","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5BMH2WAK","created_at":"2026-05-18T12:26:20.644004+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/5BMH2WAKZTKKC6IFDQFW6OSYFM","json":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM.json","graph_json":"https://pith.science/api/pith-number/5BMH2WAKZTKKC6IFDQFW6OSYFM/graph.json","events_json":"https://pith.science/api/pith-number/5BMH2WAKZTKKC6IFDQFW6OSYFM/events.json","paper":"https://pith.science/paper/5BMH2WAK"},"agent_actions":{"view_html":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM","download_json":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM.json","view_paper":"https://pith.science/paper/5BMH2WAK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.1480&json=true","fetch_graph":"https://pith.science/api/pith-number/5BMH2WAKZTKKC6IFDQFW6OSYFM/graph.json","fetch_events":"https://pith.science/api/pith-number/5BMH2WAKZTKKC6IFDQFW6OSYFM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM/action/storage_attestation","attest_author":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM/action/author_attestation","sign_citation":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM/action/citation_signature","submit_replication":"https://pith.science/pith/5BMH2WAKZTKKC6IFDQFW6OSYFM/action/replication_record"}},"created_at":"2026-05-18T04:22:39.352638+00:00","updated_at":"2026-05-18T04:22:39.352638+00:00"}