{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:VDK5LRUF6A6V4LWCSDL3Y4UMVY","short_pith_number":"pith:VDK5LRUF","schema_version":"1.0","canonical_sha256":"a8d5d5c685f03d5e2ec290d7bc728cae3ad6ec60ca4ba810366868f09f2d11fa","source":{"kind":"arxiv","id":"1506.08270","version":2},"attestation_state":"computed","paper":{"title":"On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Fabio Camilli, Isabeau Birindelli, Italo Capuzzo Dolcetta","submitted_at":"2015-06-27T08:33:55Z","abstract_excerpt":"We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The principal eigenvalue is computed by solving a finite-dimensional nonlinear min-max optimization problem. We prove the convergence of the method and we discuss its implementation. Some examples where the exact solution is explicitly known show the effectiveness of the method."},"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":"1506.08270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-27T08:33:55Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"9e0199c4e51512d4d3dddf62e721a9b52df6cabe5fe4fac733d1884e7c82f285","abstract_canon_sha256":"938ca4bd3a7b37a2dacffe7650bb9e2264893f26dcb0cbc981dbb14913c8108e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:29.489567Z","signature_b64":"mAWyyAUlTG39x5KOfw4ynKI8ub9AW6h9OWean3z9LL6DSbTcwMYXnJIPsBxgL5sLsTneXBiEdXS2Ytt3dzVnDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8d5d5c685f03d5e2ec290d7bc728cae3ad6ec60ca4ba810366868f09f2d11fa","last_reissued_at":"2026-05-18T01:20:29.488840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:29.488840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Fabio Camilli, Isabeau Birindelli, Italo Capuzzo Dolcetta","submitted_at":"2015-06-27T08:33:55Z","abstract_excerpt":"We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The principal eigenvalue is computed by solving a finite-dimensional nonlinear min-max optimization problem. We prove the convergence of the method and we discuss its implementation. Some examples where the exact solution is explicitly known show the effectiveness of the method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08270","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":"1506.08270","created_at":"2026-05-18T01:20:29.488962+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.08270v2","created_at":"2026-05-18T01:20:29.488962+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08270","created_at":"2026-05-18T01:20:29.488962+00:00"},{"alias_kind":"pith_short_12","alias_value":"VDK5LRUF6A6V","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"VDK5LRUF6A6V4LWC","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"VDK5LRUF","created_at":"2026-05-18T12:29:44.643036+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/VDK5LRUF6A6V4LWCSDL3Y4UMVY","json":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY.json","graph_json":"https://pith.science/api/pith-number/VDK5LRUF6A6V4LWCSDL3Y4UMVY/graph.json","events_json":"https://pith.science/api/pith-number/VDK5LRUF6A6V4LWCSDL3Y4UMVY/events.json","paper":"https://pith.science/paper/VDK5LRUF"},"agent_actions":{"view_html":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY","download_json":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY.json","view_paper":"https://pith.science/paper/VDK5LRUF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.08270&json=true","fetch_graph":"https://pith.science/api/pith-number/VDK5LRUF6A6V4LWCSDL3Y4UMVY/graph.json","fetch_events":"https://pith.science/api/pith-number/VDK5LRUF6A6V4LWCSDL3Y4UMVY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY/action/storage_attestation","attest_author":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY/action/author_attestation","sign_citation":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY/action/citation_signature","submit_replication":"https://pith.science/pith/VDK5LRUF6A6V4LWCSDL3Y4UMVY/action/replication_record"}},"created_at":"2026-05-18T01:20:29.488962+00:00","updated_at":"2026-05-18T01:20:29.488962+00:00"}