{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HHQBLIVRA2OOYXGVCW4QIRKEVN","short_pith_number":"pith:HHQBLIVR","schema_version":"1.0","canonical_sha256":"39e015a2b1069cec5cd515b9044544ab4eeacdcf79291478bedf550ccb1ed791","source":{"kind":"arxiv","id":"1901.09288","version":1},"attestation_state":"computed","paper":{"title":"Existence, uniqueness, and numerical approximations for stochastic Burgers equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.PR","authors_text":"Diyora Salimova, Sara Mazzonetto","submitted_at":"2019-01-26T22:43:31Z","abstract_excerpt":"In this paper we propose an all-in-one statement which includes existence, uniqueness, regularity, and numerical approximations of mild solutions for a class of stochastic partial differential equations (SPDEs) with non-globally monotone nonlinearities. The proof of this result exploits the properties of an existent fully explicit space-time discrete approximation scheme and, in particular, the fact that it satisfies suitable a priori estimates. As a byproduct we obtain almost sure and strong convergence of the approximation scheme to the mild solutions of the considered SPDEs. We conclude by "},"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":"1901.09288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-01-26T22:43:31Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"1d305685a2cf5d1ddaed86fe309aca3d523992876aa55cbd120e102a8f9ea310","abstract_canon_sha256":"6efc508b99edea13ae14c7fc44ef3c438cfd978d4997566d1988450fcd27cbab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:51:24.191258Z","signature_b64":"R8Z4x79RdAJYr8HnTgCi4MHtYjyDJ1sVoLtxM4uJLEPl1BhXBJMJasQ9SIR/yjRlKWY4sOariaNYmJglwQdHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39e015a2b1069cec5cd515b9044544ab4eeacdcf79291478bedf550ccb1ed791","last_reissued_at":"2026-07-05T09:51:24.190862Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:51:24.190862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence, uniqueness, and numerical approximations for stochastic Burgers equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.PR","authors_text":"Diyora Salimova, Sara Mazzonetto","submitted_at":"2019-01-26T22:43:31Z","abstract_excerpt":"In this paper we propose an all-in-one statement which includes existence, uniqueness, regularity, and numerical approximations of mild solutions for a class of stochastic partial differential equations (SPDEs) with non-globally monotone nonlinearities. The proof of this result exploits the properties of an existent fully explicit space-time discrete approximation scheme and, in particular, the fact that it satisfies suitable a priori estimates. As a byproduct we obtain almost sure and strong convergence of the approximation scheme to the mild solutions of the considered SPDEs. We conclude by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09288","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1901.09288/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1901.09288","created_at":"2026-07-05T09:51:24.190919+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.09288v1","created_at":"2026-07-05T09:51:24.190919+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09288","created_at":"2026-07-05T09:51:24.190919+00:00"},{"alias_kind":"pith_short_12","alias_value":"HHQBLIVRA2OO","created_at":"2026-07-05T09:51:24.190919+00:00"},{"alias_kind":"pith_short_16","alias_value":"HHQBLIVRA2OOYXGV","created_at":"2026-07-05T09:51:24.190919+00:00"},{"alias_kind":"pith_short_8","alias_value":"HHQBLIVR","created_at":"2026-07-05T09:51:24.190919+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.06128","citing_title":"Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN","json":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN.json","graph_json":"https://pith.science/api/pith-number/HHQBLIVRA2OOYXGVCW4QIRKEVN/graph.json","events_json":"https://pith.science/api/pith-number/HHQBLIVRA2OOYXGVCW4QIRKEVN/events.json","paper":"https://pith.science/paper/HHQBLIVR"},"agent_actions":{"view_html":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN","download_json":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN.json","view_paper":"https://pith.science/paper/HHQBLIVR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.09288&json=true","fetch_graph":"https://pith.science/api/pith-number/HHQBLIVRA2OOYXGVCW4QIRKEVN/graph.json","fetch_events":"https://pith.science/api/pith-number/HHQBLIVRA2OOYXGVCW4QIRKEVN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN/action/storage_attestation","attest_author":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN/action/author_attestation","sign_citation":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN/action/citation_signature","submit_replication":"https://pith.science/pith/HHQBLIVRA2OOYXGVCW4QIRKEVN/action/replication_record"}},"created_at":"2026-07-05T09:51:24.190919+00:00","updated_at":"2026-07-05T09:51:24.190919+00:00"}