{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3UVGFABYX62MPVYQGG6XLXDYPB","short_pith_number":"pith:3UVGFABY","schema_version":"1.0","canonical_sha256":"dd2a628038bfb4c7d71031bd75dc78785b2140738be13af3691ead8949972377","source":{"kind":"arxiv","id":"1812.04591","version":1},"attestation_state":"computed","paper":{"title":"Ergodicity for a class of semilinear stochastic partial differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Rangrang Zhang, Zhao Dong","submitted_at":"2018-12-11T18:22:45Z","abstract_excerpt":"In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise."},"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":"1812.04591","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-12-11T18:22:45Z","cross_cats_sorted":[],"title_canon_sha256":"b59f2d88126045239097748fdbbf6f199a4e80716fa2fb368c06d8767a29a9b5","abstract_canon_sha256":"7dd42b91c36c7f0e8e4a589082ad7b9cfa6a58712251275209e29d8decab395c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:31.658776Z","signature_b64":"ZjDiozAK/qcVBLvcVV1JXlqOLMiaMBnCbFt00vE7TWG0jVk0u7rsVl2PvzwgUwJ4Q9uBUnkzv2/LCJPLSGCMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd2a628038bfb4c7d71031bd75dc78785b2140738be13af3691ead8949972377","last_reissued_at":"2026-05-17T23:58:31.658096Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:31.658096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ergodicity for a class of semilinear stochastic partial differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Rangrang Zhang, Zhao Dong","submitted_at":"2018-12-11T18:22:45Z","abstract_excerpt":"In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04591","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":"1812.04591","created_at":"2026-05-17T23:58:31.658196+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.04591v1","created_at":"2026-05-17T23:58:31.658196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04591","created_at":"2026-05-17T23:58:31.658196+00:00"},{"alias_kind":"pith_short_12","alias_value":"3UVGFABYX62M","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"3UVGFABYX62MPVYQ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"3UVGFABY","created_at":"2026-05-18T12:32:05.422762+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/3UVGFABYX62MPVYQGG6XLXDYPB","json":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB.json","graph_json":"https://pith.science/api/pith-number/3UVGFABYX62MPVYQGG6XLXDYPB/graph.json","events_json":"https://pith.science/api/pith-number/3UVGFABYX62MPVYQGG6XLXDYPB/events.json","paper":"https://pith.science/paper/3UVGFABY"},"agent_actions":{"view_html":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB","download_json":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB.json","view_paper":"https://pith.science/paper/3UVGFABY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.04591&json=true","fetch_graph":"https://pith.science/api/pith-number/3UVGFABYX62MPVYQGG6XLXDYPB/graph.json","fetch_events":"https://pith.science/api/pith-number/3UVGFABYX62MPVYQGG6XLXDYPB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB/action/storage_attestation","attest_author":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB/action/author_attestation","sign_citation":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB/action/citation_signature","submit_replication":"https://pith.science/pith/3UVGFABYX62MPVYQGG6XLXDYPB/action/replication_record"}},"created_at":"2026-05-17T23:58:31.658196+00:00","updated_at":"2026-05-17T23:58:31.658196+00:00"}