{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6DH2NXUBYBG6GRFSZRUITOJ6ZV","short_pith_number":"pith:6DH2NXUB","schema_version":"1.0","canonical_sha256":"f0cfa6de81c04de344b2cc6889b93ecd5349c7e77b19c63ee1c9f0ba9a45efb6","source":{"kind":"arxiv","id":"1709.07098","version":3},"attestation_state":"computed","paper":{"title":"Talagrand Concentration Inequalities for Stochastic Partial Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andrey Sarantsev, Davar Khoshnevisan","submitted_at":"2017-09-20T22:53:43Z","abstract_excerpt":"One way to define the concentration of measure phenomenon is via Talagrand inequalities, also called transportation-information inequalities. That is, a comparison of the Wasserstein distance from the given measure to any other absolutely continuous measure with finite relative entropy. Such transportation-information inequalities were recently established for some stochastic differential equations. Here, we develop a similar theory for some stochastic partial differential equations."},"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":"1709.07098","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-20T22:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"e71ab9886249ba1a1779ed91370ad8a3984298ab9236a7b3483594da95d2b839","abstract_canon_sha256":"451c8eeec9f0faaef20d9182710f424ee59bc8b7a3384cd72bb62b143856525b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:53.645234Z","signature_b64":"qZJBdruJ+TiYL9Lsmzq9udFh6DE8kriUbm4Lioqb5GAyIr4elrBQ+sq72dH+Zszl2mKhtr2XtmwQWYjuWU8wAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0cfa6de81c04de344b2cc6889b93ecd5349c7e77b19c63ee1c9f0ba9a45efb6","last_reissued_at":"2026-05-17T23:59:53.644551Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:53.644551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Talagrand Concentration Inequalities for Stochastic Partial Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andrey Sarantsev, Davar Khoshnevisan","submitted_at":"2017-09-20T22:53:43Z","abstract_excerpt":"One way to define the concentration of measure phenomenon is via Talagrand inequalities, also called transportation-information inequalities. That is, a comparison of the Wasserstein distance from the given measure to any other absolutely continuous measure with finite relative entropy. Such transportation-information inequalities were recently established for some stochastic differential equations. Here, we develop a similar theory for some stochastic partial differential equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07098","kind":"arxiv","version":3},"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":"1709.07098","created_at":"2026-05-17T23:59:53.644658+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.07098v3","created_at":"2026-05-17T23:59:53.644658+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07098","created_at":"2026-05-17T23:59:53.644658+00:00"},{"alias_kind":"pith_short_12","alias_value":"6DH2NXUBYBG6","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6DH2NXUBYBG6GRFS","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6DH2NXUB","created_at":"2026-05-18T12:31:03.183658+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/6DH2NXUBYBG6GRFSZRUITOJ6ZV","json":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV.json","graph_json":"https://pith.science/api/pith-number/6DH2NXUBYBG6GRFSZRUITOJ6ZV/graph.json","events_json":"https://pith.science/api/pith-number/6DH2NXUBYBG6GRFSZRUITOJ6ZV/events.json","paper":"https://pith.science/paper/6DH2NXUB"},"agent_actions":{"view_html":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV","download_json":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV.json","view_paper":"https://pith.science/paper/6DH2NXUB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.07098&json=true","fetch_graph":"https://pith.science/api/pith-number/6DH2NXUBYBG6GRFSZRUITOJ6ZV/graph.json","fetch_events":"https://pith.science/api/pith-number/6DH2NXUBYBG6GRFSZRUITOJ6ZV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV/action/storage_attestation","attest_author":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV/action/author_attestation","sign_citation":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV/action/citation_signature","submit_replication":"https://pith.science/pith/6DH2NXUBYBG6GRFSZRUITOJ6ZV/action/replication_record"}},"created_at":"2026-05-17T23:59:53.644658+00:00","updated_at":"2026-05-17T23:59:53.644658+00:00"}