{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:V5SHSNGHWLWVBPWWIZ4WCCZWG6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e80a3f64c7c9da5735259c04f55bc0f187e5937ef46b85910b6870f04a7f2c72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-04T07:48:00Z","title_canon_sha256":"404f774c5b3638869d40a3b329cbe4c77d5af1884f9d004329ddaef92ad17411"},"schema_version":"1.0","source":{"id":"1902.01063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.01063","created_at":"2026-05-17T23:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"1902.01063v1","created_at":"2026-05-17T23:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01063","created_at":"2026-05-17T23:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"V5SHSNGHWLWV","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V5SHSNGHWLWVBPWW","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V5SHSNGH","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:01261c628d716f9fb0b0872bf778c03a16b9390ad7392a377deb7988d5ea5f51","target":"graph","created_at":"2026-05-17T23:54:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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. ","authors_text":"Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\\'asevich (CMM)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-04T07:48:00Z","title":"Interpolation inequalities in W1,p(S1) and carr{\\'e} du champ methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01063","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2fb3930fb67785a0b6b515e846df225a63f4d046c11cdbd48b70cf3103dbd8a7","target":"record","created_at":"2026-05-17T23:54:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e80a3f64c7c9da5735259c04f55bc0f187e5937ef46b85910b6870f04a7f2c72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-04T07:48:00Z","title_canon_sha256":"404f774c5b3638869d40a3b329cbe4c77d5af1884f9d004329ddaef92ad17411"},"schema_version":"1.0","source":{"id":"1902.01063","kind":"arxiv","version":1}},"canonical_sha256":"af647934c7b2ed50bed64679610b36378a5aba9362e6468bffcdf861860044f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af647934c7b2ed50bed64679610b36378a5aba9362e6468bffcdf861860044f4","first_computed_at":"2026-05-17T23:54:49.769164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:49.769164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jzn4JC/5YvzhS9pcaZpl3XQ1iC0JrPql0TRWXif0GR0vIaprPAZ9LG3ngt5+VJ6Vpml/g4fE5Ac10m8AM0fxAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:49.769655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.01063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fb3930fb67785a0b6b515e846df225a63f4d046c11cdbd48b70cf3103dbd8a7","sha256:01261c628d716f9fb0b0872bf778c03a16b9390ad7392a377deb7988d5ea5f51"],"state_sha256":"ce154c87e3d3316528c3f6075e11cefff857c21e28f86e739675bbb800ac79e9"}