{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SKQYZMU3POAMQSFFTIQWRWURSB","short_pith_number":"pith:SKQYZMU3","schema_version":"1.0","canonical_sha256":"92a18cb29b7b80c848a59a2168da9190751c4c80af40cf665c90aaa5219a6a3b","source":{"kind":"arxiv","id":"1804.03551","version":2},"attestation_state":"computed","paper":{"title":"On the Well-posedness of a Class of Non-Autonomous SPDEs: An Operator-Theoretical Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Marcus Waurick, Rainer Picard, Sascha Trostorff","submitted_at":"2018-04-10T14:11:10Z","abstract_excerpt":"We further elaborate on the solvability of stochastic partial differential equations (SPDEs). We shall discuss non-autonomous partial differential equations with an abstract realization of the stochastic integral on the right-hand side. Our approach allows the treatment of equations with mixed type, where classical solution strategies fail to work. The approach extends prior observations in [S\\\"u\\ss, A. \\& Waurick, M. A Solution Theory for a General Class of SPDEs. \\emph{Stochastics and Partial Differential Equations: Analysis and Computations}, 2017, 5, 278-318], where the respective results "},"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":"1804.03551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-10T14:11:10Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1f6f1b1bf518f31279bcf3e96b807aeba7a0847f67993881537c3bbae95d57c0","abstract_canon_sha256":"e2328a8bbe6999577f5f1c4bd34baec9048ca12cec00d77d56f22b46688e3643"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:44.698297Z","signature_b64":"ysPV7bmQcLHAWgZULnY802ufuLDNv7MyGMfSn4Ehi0sAHVY6huvG5oIXn+ICbydioFB/Zdz3/ocMvqfFMDMzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92a18cb29b7b80c848a59a2168da9190751c4c80af40cf665c90aaa5219a6a3b","last_reissued_at":"2026-05-18T00:06:44.697840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:44.697840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Well-posedness of a Class of Non-Autonomous SPDEs: An Operator-Theoretical Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Marcus Waurick, Rainer Picard, Sascha Trostorff","submitted_at":"2018-04-10T14:11:10Z","abstract_excerpt":"We further elaborate on the solvability of stochastic partial differential equations (SPDEs). We shall discuss non-autonomous partial differential equations with an abstract realization of the stochastic integral on the right-hand side. Our approach allows the treatment of equations with mixed type, where classical solution strategies fail to work. The approach extends prior observations in [S\\\"u\\ss, A. \\& Waurick, M. A Solution Theory for a General Class of SPDEs. \\emph{Stochastics and Partial Differential Equations: Analysis and Computations}, 2017, 5, 278-318], where the respective results "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03551","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":"1804.03551","created_at":"2026-05-18T00:06:44.697897+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.03551v2","created_at":"2026-05-18T00:06:44.697897+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03551","created_at":"2026-05-18T00:06:44.697897+00:00"},{"alias_kind":"pith_short_12","alias_value":"SKQYZMU3POAM","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SKQYZMU3POAMQSFF","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SKQYZMU3","created_at":"2026-05-18T12:32:53.628368+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/SKQYZMU3POAMQSFFTIQWRWURSB","json":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB.json","graph_json":"https://pith.science/api/pith-number/SKQYZMU3POAMQSFFTIQWRWURSB/graph.json","events_json":"https://pith.science/api/pith-number/SKQYZMU3POAMQSFFTIQWRWURSB/events.json","paper":"https://pith.science/paper/SKQYZMU3"},"agent_actions":{"view_html":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB","download_json":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB.json","view_paper":"https://pith.science/paper/SKQYZMU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.03551&json=true","fetch_graph":"https://pith.science/api/pith-number/SKQYZMU3POAMQSFFTIQWRWURSB/graph.json","fetch_events":"https://pith.science/api/pith-number/SKQYZMU3POAMQSFFTIQWRWURSB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB/action/storage_attestation","attest_author":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB/action/author_attestation","sign_citation":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB/action/citation_signature","submit_replication":"https://pith.science/pith/SKQYZMU3POAMQSFFTIQWRWURSB/action/replication_record"}},"created_at":"2026-05-18T00:06:44.697897+00:00","updated_at":"2026-05-18T00:06:44.697897+00:00"}