{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:7YKENGYACRP7O4OSCCVITTGYGL","short_pith_number":"pith:7YKENGYA","schema_version":"1.0","canonical_sha256":"fe14469b00145ff771d210aa89ccd832ffa36155b0e4653d25ea8cdf92135cb2","source":{"kind":"arxiv","id":"1702.03090","version":1},"attestation_state":"computed","paper":{"title":"New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Arnaud Guillin (LMBP), Dario Cordero-Erausquin, Fran\\c{c}ois Bolley (LPMA), Ivan Gentil (ICJ), Yasuhiro Fujita","submitted_at":"2017-02-10T08:10:09Z","abstract_excerpt":"We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in R^n and in the half-space R^n\\_+. This gives a new bridge between the geometric pont of view of the Brunn-Minkowski inequality and the functional point of view of the Sobolev type inequalities. In this way we unify, simplify and results by S. Bobkov-M. Ledoux, M. del Pino-J. Dolbeault and B. Nazaret."},"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":"1702.03090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-10T08:10:09Z","cross_cats_sorted":[],"title_canon_sha256":"02e073c6f2b48679ffcc899f928027c3ac931374bdc7876140c5ca4f1a727a74","abstract_canon_sha256":"131fef3ff76817fada9d2f7126fcf8407a9a5c091ac005292167c32c0402b84e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:58.687498Z","signature_b64":"ImZqQfW3K/GxhYfUQPDIXpkwv2kzJ15n4F3u8T21PE+XRkJqUysX8RLd3W0472FG8LZjy6sRTRC8rReUqaOdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe14469b00145ff771d210aa89ccd832ffa36155b0e4653d25ea8cdf92135cb2","last_reissued_at":"2026-05-18T00:50:58.686605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:58.686605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Arnaud Guillin (LMBP), Dario Cordero-Erausquin, Fran\\c{c}ois Bolley (LPMA), Ivan Gentil (ICJ), Yasuhiro Fujita","submitted_at":"2017-02-10T08:10:09Z","abstract_excerpt":"We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in R^n and in the half-space R^n\\_+. This gives a new bridge between the geometric pont of view of the Brunn-Minkowski inequality and the functional point of view of the Sobolev type inequalities. In this way we unify, simplify and results by S. Bobkov-M. Ledoux, M. del Pino-J. Dolbeault and B. Nazaret."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03090","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":"1702.03090","created_at":"2026-05-18T00:50:58.686773+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.03090v1","created_at":"2026-05-18T00:50:58.686773+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03090","created_at":"2026-05-18T00:50:58.686773+00:00"},{"alias_kind":"pith_short_12","alias_value":"7YKENGYACRP7","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"7YKENGYACRP7O4OS","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"7YKENGYA","created_at":"2026-05-18T12:31:05.417338+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/7YKENGYACRP7O4OSCCVITTGYGL","json":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL.json","graph_json":"https://pith.science/api/pith-number/7YKENGYACRP7O4OSCCVITTGYGL/graph.json","events_json":"https://pith.science/api/pith-number/7YKENGYACRP7O4OSCCVITTGYGL/events.json","paper":"https://pith.science/paper/7YKENGYA"},"agent_actions":{"view_html":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL","download_json":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL.json","view_paper":"https://pith.science/paper/7YKENGYA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.03090&json=true","fetch_graph":"https://pith.science/api/pith-number/7YKENGYACRP7O4OSCCVITTGYGL/graph.json","fetch_events":"https://pith.science/api/pith-number/7YKENGYACRP7O4OSCCVITTGYGL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL/action/storage_attestation","attest_author":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL/action/author_attestation","sign_citation":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL/action/citation_signature","submit_replication":"https://pith.science/pith/7YKENGYACRP7O4OSCCVITTGYGL/action/replication_record"}},"created_at":"2026-05-18T00:50:58.686773+00:00","updated_at":"2026-05-18T00:50:58.686773+00:00"}