{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:LNLSWZIOAULSHN7KGXULUYLHBJ","short_pith_number":"pith:LNLSWZIO","schema_version":"1.0","canonical_sha256":"5b572b650e051723b7ea35e8ba61670a74dddbc1962390a4d88a71c8369192aa","source":{"kind":"arxiv","id":"1005.4095","version":2},"attestation_state":"computed","paper":{"title":"Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Arnulf Jentzen, Michael Roeckner","submitted_at":"2010-05-21T22:52:11Z","abstract_excerpt":"In this article spatial and temporal regularity of the solution process of a stochastic partial differential equation (SPDE) of evolutionary type with nonlinear multiplicative trace class noise is analyzed."},"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":"1005.4095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-05-21T22:52:11Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"8903b3cffbd22d6da9fc7cce56b685891bce73a408209b18978705ef0c71a8b9","abstract_canon_sha256":"7ba017cfbaf7315b65d4d25e022461e96cf6ff88f38e3b11dc319cf4f31fca18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:36.422418Z","signature_b64":"ZDKan7CuQsHK42alTzyYfbndOv9ZMrjmHF8GdcHjZZuk1fL2HO0dmXMwcx6+vjaoSzhFi1T49W+E0hpOJcxpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b572b650e051723b7ea35e8ba61670a74dddbc1962390a4d88a71c8369192aa","last_reissued_at":"2026-05-18T04:09:36.421754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:36.421754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Arnulf Jentzen, Michael Roeckner","submitted_at":"2010-05-21T22:52:11Z","abstract_excerpt":"In this article spatial and temporal regularity of the solution process of a stochastic partial differential equation (SPDE) of evolutionary type with nonlinear multiplicative trace class noise is analyzed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4095","kind":"arxiv","version":2},"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":"1005.4095","created_at":"2026-05-18T04:09:36.421859+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.4095v2","created_at":"2026-05-18T04:09:36.421859+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4095","created_at":"2026-05-18T04:09:36.421859+00:00"},{"alias_kind":"pith_short_12","alias_value":"LNLSWZIOAULS","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"LNLSWZIOAULSHN7K","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"LNLSWZIO","created_at":"2026-05-18T12:26:10.704358+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/LNLSWZIOAULSHN7KGXULUYLHBJ","json":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ.json","graph_json":"https://pith.science/api/pith-number/LNLSWZIOAULSHN7KGXULUYLHBJ/graph.json","events_json":"https://pith.science/api/pith-number/LNLSWZIOAULSHN7KGXULUYLHBJ/events.json","paper":"https://pith.science/paper/LNLSWZIO"},"agent_actions":{"view_html":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ","download_json":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ.json","view_paper":"https://pith.science/paper/LNLSWZIO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.4095&json=true","fetch_graph":"https://pith.science/api/pith-number/LNLSWZIOAULSHN7KGXULUYLHBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/LNLSWZIOAULSHN7KGXULUYLHBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ/action/storage_attestation","attest_author":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ/action/author_attestation","sign_citation":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ/action/citation_signature","submit_replication":"https://pith.science/pith/LNLSWZIOAULSHN7KGXULUYLHBJ/action/replication_record"}},"created_at":"2026-05-18T04:09:36.421859+00:00","updated_at":"2026-05-18T04:09:36.421859+00:00"}