{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:V5SHSNGHWLWVBPWWIZ4WCCZWG6","short_pith_number":"pith:V5SHSNGH","schema_version":"1.0","canonical_sha256":"af647934c7b2ed50bed64679610b36378a5aba9362e6468bffcdf861860044f4","source":{"kind":"arxiv","id":"1902.01063","version":1},"attestation_state":"computed","paper":{"title":"Interpolation inequalities in W1,p(S1) and carr{\\'e} du champ methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\\'asevich (CMM)","submitted_at":"2019-02-04T07:48:00Z","abstract_excerpt":"This paper is devoted to an extension of rigidity results for nonlinear differential equations, based on carr{\\'e} du champ methods, in the one-dimensional periodic case. The main result is an interpolation inequality with non-trivial explicit estimates of the constants in W1,p(S1) with p $\\ge$ 2. Mostly for numerical reasons, we relate our estimates with issues concerning periodic dynamical systems. Our interpolation inequalities have a dual formulation in terms of generalized spectral estimates of Keller-Lieb-Thirring type, where the differential operator is now a p-Laplacian type operator. "},"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":"1902.01063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-04T07:48:00Z","cross_cats_sorted":[],"title_canon_sha256":"404f774c5b3638869d40a3b329cbe4c77d5af1884f9d004329ddaef92ad17411","abstract_canon_sha256":"e80a3f64c7c9da5735259c04f55bc0f187e5937ef46b85910b6870f04a7f2c72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:49.769655Z","signature_b64":"Jzn4JC/5YvzhS9pcaZpl3XQ1iC0JrPql0TRWXif0GR0vIaprPAZ9LG3ngt5+VJ6Vpml/g4fE5Ac10m8AM0fxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af647934c7b2ed50bed64679610b36378a5aba9362e6468bffcdf861860044f4","last_reissued_at":"2026-05-17T23:54:49.769164Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:49.769164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interpolation inequalities in W1,p(S1) and carr{\\'e} du champ methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\\'asevich (CMM)","submitted_at":"2019-02-04T07:48:00Z","abstract_excerpt":"This paper is devoted to an extension of rigidity results for nonlinear differential equations, based on carr{\\'e} du champ methods, in the one-dimensional periodic case. The main result is an interpolation inequality with non-trivial explicit estimates of the constants in W1,p(S1) with p $\\ge$ 2. Mostly for numerical reasons, we relate our estimates with issues concerning periodic dynamical systems. Our interpolation inequalities have a dual formulation in terms of generalized spectral estimates of Keller-Lieb-Thirring type, where the differential operator is now a p-Laplacian type operator. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01063","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":"1902.01063","created_at":"2026-05-17T23:54:49.769237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.01063v1","created_at":"2026-05-17T23:54:49.769237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01063","created_at":"2026-05-17T23:54:49.769237+00:00"},{"alias_kind":"pith_short_12","alias_value":"V5SHSNGHWLWV","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"V5SHSNGHWLWVBPWW","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"V5SHSNGH","created_at":"2026-05-18T12:33:30.264802+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/V5SHSNGHWLWVBPWWIZ4WCCZWG6","json":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6.json","graph_json":"https://pith.science/api/pith-number/V5SHSNGHWLWVBPWWIZ4WCCZWG6/graph.json","events_json":"https://pith.science/api/pith-number/V5SHSNGHWLWVBPWWIZ4WCCZWG6/events.json","paper":"https://pith.science/paper/V5SHSNGH"},"agent_actions":{"view_html":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6","download_json":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6.json","view_paper":"https://pith.science/paper/V5SHSNGH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.01063&json=true","fetch_graph":"https://pith.science/api/pith-number/V5SHSNGHWLWVBPWWIZ4WCCZWG6/graph.json","fetch_events":"https://pith.science/api/pith-number/V5SHSNGHWLWVBPWWIZ4WCCZWG6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6/action/storage_attestation","attest_author":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6/action/author_attestation","sign_citation":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6/action/citation_signature","submit_replication":"https://pith.science/pith/V5SHSNGHWLWVBPWWIZ4WCCZWG6/action/replication_record"}},"created_at":"2026-05-17T23:54:49.769237+00:00","updated_at":"2026-05-17T23:54:49.769237+00:00"}