{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:WV5NEOL7IVXBPEKRJ3IHD6CDSD","short_pith_number":"pith:WV5NEOL7","schema_version":"1.0","canonical_sha256":"b57ad2397f456e1791514ed071f84390d9340fa6090fb1e6cfc00fb45390acbc","source":{"kind":"arxiv","id":"2507.16402","version":1},"attestation_state":"computed","paper":{"title":"Second-order boundary estimates for solutions to a class of quasilinear elliptic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Domenico Vuono, Giuseppe Spadaro","submitted_at":"2025-07-22T09:53:31Z","abstract_excerpt":"We prove global second-order regularity for a class of quasilinear elliptic equations, both with homogeneous Dirichlet and Neumann boundary conditions. A condition on the integrability of the second fundamental form on the boundary of the domain is required. As a consequence, with the additional assumption that the source term has a sign, we obtain integrability properties of the inverse of the gradient of the solution. Assuming convexity of the domain, no boundary regularity is required."},"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":"2507.16402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-22T09:53:31Z","cross_cats_sorted":[],"title_canon_sha256":"09cd0a7d304ca9bac5384e71a96dbd06ddbd4f47cdb66c0c6484d51a1f1bff18","abstract_canon_sha256":"82324d6088a2392bc7d5786e506e68070fba91e59f2eeaf75d8535451d9d6422"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:08.783971Z","signature_b64":"/bvUcr3oo0m7y+ldKsqFAlVcZaE+5OIlLepeeyf+8oT7kfN9Ch7HQHEYtdV20GvMQiEAbtXlnHWgUl7YTEl4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b57ad2397f456e1791514ed071f84390d9340fa6090fb1e6cfc00fb45390acbc","last_reissued_at":"2026-07-05T11:41:08.783433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:08.783433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second-order boundary estimates for solutions to a class of quasilinear elliptic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Domenico Vuono, Giuseppe Spadaro","submitted_at":"2025-07-22T09:53:31Z","abstract_excerpt":"We prove global second-order regularity for a class of quasilinear elliptic equations, both with homogeneous Dirichlet and Neumann boundary conditions. A condition on the integrability of the second fundamental form on the boundary of the domain is required. As a consequence, with the additional assumption that the source term has a sign, we obtain integrability properties of the inverse of the gradient of the solution. Assuming convexity of the domain, no boundary regularity is required."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.16402","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/2507.16402/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":"2507.16402","created_at":"2026-07-05T11:41:08.783507+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.16402v1","created_at":"2026-07-05T11:41:08.783507+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.16402","created_at":"2026-07-05T11:41:08.783507+00:00"},{"alias_kind":"pith_short_12","alias_value":"WV5NEOL7IVXB","created_at":"2026-07-05T11:41:08.783507+00:00"},{"alias_kind":"pith_short_16","alias_value":"WV5NEOL7IVXBPEKR","created_at":"2026-07-05T11:41:08.783507+00:00"},{"alias_kind":"pith_short_8","alias_value":"WV5NEOL7","created_at":"2026-07-05T11:41:08.783507+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/WV5NEOL7IVXBPEKRJ3IHD6CDSD","json":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD.json","graph_json":"https://pith.science/api/pith-number/WV5NEOL7IVXBPEKRJ3IHD6CDSD/graph.json","events_json":"https://pith.science/api/pith-number/WV5NEOL7IVXBPEKRJ3IHD6CDSD/events.json","paper":"https://pith.science/paper/WV5NEOL7"},"agent_actions":{"view_html":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD","download_json":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD.json","view_paper":"https://pith.science/paper/WV5NEOL7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.16402&json=true","fetch_graph":"https://pith.science/api/pith-number/WV5NEOL7IVXBPEKRJ3IHD6CDSD/graph.json","fetch_events":"https://pith.science/api/pith-number/WV5NEOL7IVXBPEKRJ3IHD6CDSD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD/action/storage_attestation","attest_author":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD/action/author_attestation","sign_citation":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD/action/citation_signature","submit_replication":"https://pith.science/pith/WV5NEOL7IVXBPEKRJ3IHD6CDSD/action/replication_record"}},"created_at":"2026-07-05T11:41:08.783507+00:00","updated_at":"2026-07-05T11:41:08.783507+00:00"}