{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AIMGEOFPQ25AFAVR7ZZVGYJ2XE","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":"cc7924592869ee87cc8991ea4645162743ff96844e695705c8400ff42acb966b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-13T14:11:59Z","title_canon_sha256":"7905b219ce6a2db6d7527e67a88acbb472ee6a9b1c6a66c37e2c736167605a00"},"schema_version":"1.0","source":{"id":"1606.03961","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03961","created_at":"2026-05-18T00:27:53Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03961v4","created_at":"2026-05-18T00:27:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03961","created_at":"2026-05-18T00:27:53Z"},{"alias_kind":"pith_short_12","alias_value":"AIMGEOFPQ25A","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AIMGEOFPQ25AFAVR","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AIMGEOFP","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:e41441f1ee67d2b8a7cc02600f281bd7c561e153fc84da553858360c1c8c0efb","target":"graph","created_at":"2026-05-18T00:27:53Z","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":"In this paper we present a preliminary study on the Dirichlet-to-Neumann operator with respect to a second order elliptic operator with measurable coefficients, including first order terms, namely, the operator on $L^2(\\partial\\Omega)$ given by $\\varphi\\mapsto \\partial_{\\nu}u$ where $u$ is a weak solution of \\begin{equation} \\left\\{ \\begin{aligned} -{\\rm div}\\, (a\\nabla u) +b\\cdot \\nabla u -{\\rm div}\\, (cu)+du & =\\lambda u \\ \\ \\text{on}\\ \\Omega,\\\\ u|_{\\partial\\Omega} & =\\varphi . \\end{aligned} \\right. \\end{equation} Under suitable assumptions on the matrix-valued function $a$, on the vector fi","authors_text":"\\'Erika Capelato, Jamil Abreu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-13T14:11:59Z","title":"Dirichlet-to-Neumann semigroup with respect to a general second order eigenvalue problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03961","kind":"arxiv","version":4},"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:f931b023e2cfb7e8ef83e74c82fa55472d98c84d4f404dfad12622024cf1cfa5","target":"record","created_at":"2026-05-18T00:27:53Z","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":"cc7924592869ee87cc8991ea4645162743ff96844e695705c8400ff42acb966b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-13T14:11:59Z","title_canon_sha256":"7905b219ce6a2db6d7527e67a88acbb472ee6a9b1c6a66c37e2c736167605a00"},"schema_version":"1.0","source":{"id":"1606.03961","kind":"arxiv","version":4}},"canonical_sha256":"02186238af86ba0282b1fe7353613ab90542f7a259ab824e00234868aa1ee35a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02186238af86ba0282b1fe7353613ab90542f7a259ab824e00234868aa1ee35a","first_computed_at":"2026-05-18T00:27:53.262796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:53.262796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lARP65UoDL6hLyLnGS/RUPIZTXO2V2VQDcWub1iZZDOL1RHjViFMcPSiB1zAIOfVoaliXXse62sOZRV/82puDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:53.263325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03961","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f931b023e2cfb7e8ef83e74c82fa55472d98c84d4f404dfad12622024cf1cfa5","sha256:e41441f1ee67d2b8a7cc02600f281bd7c561e153fc84da553858360c1c8c0efb"],"state_sha256":"dc0dedf8d509080ba4ea9aa28a3e4fa6053e0af3b9221df9ebad82caaeeca8f9"}