{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:NFLX5XNUAJLMPK7UGRGWC23NZT","short_pith_number":"pith:NFLX5XNU","schema_version":"1.0","canonical_sha256":"69577eddb40256c7abf4344d616b6dcce01f079078ee5bbde325fdecb460b5ba","source":{"kind":"arxiv","id":"1903.04964","version":2},"attestation_state":"computed","paper":{"title":"A quantitative Weinstock inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Domenico Angelo La Manna, Gloria Paoli, Leonardo Trani, Nunzia Gavitone","submitted_at":"2019-03-12T14:44:48Z","abstract_excerpt":"The paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of Laplace operator for convex sets. The key rule is played by a quantitative isoperimetric inequality which involves the boundary momentum, the volume and the perimeter of a convex open set of $\\mathbb R^n$, $n \\ge 2$."},"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":"1903.04964","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-12T14:44:48Z","cross_cats_sorted":[],"title_canon_sha256":"ea674334602dc37ba93f241a269d4155d570f4cd239856e1bf9129ff406cc99e","abstract_canon_sha256":"046815713b993321499dc158c3ef83f83cf478aa8d9d08512182a38609f68851"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:29.853380Z","signature_b64":"TkTQj+tTcPidyU+L9kzUMbTQJYGvLrTc0Rn9Sv446fTkBUjtWIVpdJbVpfHpIDsPPu0+Up1jUamL9UDIFyQ7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69577eddb40256c7abf4344d616b6dcce01f079078ee5bbde325fdecb460b5ba","last_reissued_at":"2026-05-17T23:48:29.852841Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:29.852841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A quantitative Weinstock inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Domenico Angelo La Manna, Gloria Paoli, Leonardo Trani, Nunzia Gavitone","submitted_at":"2019-03-12T14:44:48Z","abstract_excerpt":"The paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of Laplace operator for convex sets. The key rule is played by a quantitative isoperimetric inequality which involves the boundary momentum, the volume and the perimeter of a convex open set of $\\mathbb R^n$, $n \\ge 2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.04964","kind":"arxiv","version":2},"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":"1903.04964","created_at":"2026-05-17T23:48:29.852932+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.04964v2","created_at":"2026-05-17T23:48:29.852932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.04964","created_at":"2026-05-17T23:48:29.852932+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFLX5XNUAJLM","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFLX5XNUAJLMPK7U","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFLX5XNU","created_at":"2026-05-18T12:33:24.271573+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/NFLX5XNUAJLMPK7UGRGWC23NZT","json":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT.json","graph_json":"https://pith.science/api/pith-number/NFLX5XNUAJLMPK7UGRGWC23NZT/graph.json","events_json":"https://pith.science/api/pith-number/NFLX5XNUAJLMPK7UGRGWC23NZT/events.json","paper":"https://pith.science/paper/NFLX5XNU"},"agent_actions":{"view_html":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT","download_json":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT.json","view_paper":"https://pith.science/paper/NFLX5XNU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.04964&json=true","fetch_graph":"https://pith.science/api/pith-number/NFLX5XNUAJLMPK7UGRGWC23NZT/graph.json","fetch_events":"https://pith.science/api/pith-number/NFLX5XNUAJLMPK7UGRGWC23NZT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT/action/storage_attestation","attest_author":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT/action/author_attestation","sign_citation":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT/action/citation_signature","submit_replication":"https://pith.science/pith/NFLX5XNUAJLMPK7UGRGWC23NZT/action/replication_record"}},"created_at":"2026-05-17T23:48:29.852932+00:00","updated_at":"2026-05-17T23:48:29.852932+00:00"}