{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NN6BWG4UKZ7VQQWZGOOVSLQYYB","short_pith_number":"pith:NN6BWG4U","schema_version":"1.0","canonical_sha256":"6b7c1b1b94567f5842d9339d592e18c04a5be8c5e5a0da77b70906606c832a4a","source":{"kind":"arxiv","id":"2309.17119","version":1},"attestation_state":"computed","paper":{"title":"Quantitative stability for the nonlocal overdetermined Serrin problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enrico Valdinoci, Giorgio Poggesi, Jack Thompson, Serena Dipierro","submitted_at":"2023-09-29T10:31:11Z","abstract_excerpt":"We establish quantitative stability for the nonlocal Serrin overdetermined problem, via the method of the moving planes. Interestingly, our stability estimate is even better than those obtained so far in the classical setting (i.e., for the classical Laplacian) via the method of the moving planes.\n  A crucial ingredient is the construction of a new antisymmetric barrier, which allows a unified treatment of the moving planes method. This strategy allows us to establish a new general quantitative nonlocal maximum principle for antisymmetric functions, leading to new quantitative nonlocal version"},"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":"2309.17119","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-29T10:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"2adacae4069ecdec377439d5eacfc0885b8d6d43862517241fca6dfd2b3fec48","abstract_canon_sha256":"9b7a08c4c39bce11937e1203ca1a672ff7d81b944895bacd7dcd1260aebbb2a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:55:41.722645Z","signature_b64":"2LPsKOQssRK5IfcMtYs0gx6lQeIfoO+I6mJJZKhJMIsO7UUGQvYMGziae8ByOHtl+1LcKG16DbAD1TCHnPkfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b7c1b1b94567f5842d9339d592e18c04a5be8c5e5a0da77b70906606c832a4a","last_reissued_at":"2026-07-05T06:55:41.722167Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:55:41.722167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantitative stability for the nonlocal overdetermined Serrin problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enrico Valdinoci, Giorgio Poggesi, Jack Thompson, Serena Dipierro","submitted_at":"2023-09-29T10:31:11Z","abstract_excerpt":"We establish quantitative stability for the nonlocal Serrin overdetermined problem, via the method of the moving planes. Interestingly, our stability estimate is even better than those obtained so far in the classical setting (i.e., for the classical Laplacian) via the method of the moving planes.\n  A crucial ingredient is the construction of a new antisymmetric barrier, which allows a unified treatment of the moving planes method. This strategy allows us to establish a new general quantitative nonlocal maximum principle for antisymmetric functions, leading to new quantitative nonlocal version"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.17119","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.17119/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2309.17119","created_at":"2026-07-05T06:55:41.722226+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.17119v1","created_at":"2026-07-05T06:55:41.722226+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.17119","created_at":"2026-07-05T06:55:41.722226+00:00"},{"alias_kind":"pith_short_12","alias_value":"NN6BWG4UKZ7V","created_at":"2026-07-05T06:55:41.722226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NN6BWG4UKZ7VQQWZ","created_at":"2026-07-05T06:55:41.722226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NN6BWG4U","created_at":"2026-07-05T06:55:41.722226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2507.13715","citing_title":"Fractional Dirichlet problems with an overdetermined nonlocal Neumann condition","ref_index":10,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB","json":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB.json","graph_json":"https://pith.science/api/pith-number/NN6BWG4UKZ7VQQWZGOOVSLQYYB/graph.json","events_json":"https://pith.science/api/pith-number/NN6BWG4UKZ7VQQWZGOOVSLQYYB/events.json","paper":"https://pith.science/paper/NN6BWG4U"},"agent_actions":{"view_html":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB","download_json":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB.json","view_paper":"https://pith.science/paper/NN6BWG4U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.17119&json=true","fetch_graph":"https://pith.science/api/pith-number/NN6BWG4UKZ7VQQWZGOOVSLQYYB/graph.json","fetch_events":"https://pith.science/api/pith-number/NN6BWG4UKZ7VQQWZGOOVSLQYYB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB/action/storage_attestation","attest_author":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB/action/author_attestation","sign_citation":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB/action/citation_signature","submit_replication":"https://pith.science/pith/NN6BWG4UKZ7VQQWZGOOVSLQYYB/action/replication_record"}},"created_at":"2026-07-05T06:55:41.722226+00:00","updated_at":"2026-07-05T06:55:41.722226+00:00"}