{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Q37WSDWGAOBYQERXB5KEE4DJBR","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":"ca7658bdb5cc28e3cd497d35815533f719522d1d8c96c9fe77e4fc62fdd7fd04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-20T05:56:41Z","title_canon_sha256":"f65626d29cc4bd8d7b786aebbfa6bc132831cb23f143333dbcd914c521010670"},"schema_version":"1.0","source":{"id":"1410.5157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5157","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5157v1","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5157","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"pith_short_12","alias_value":"Q37WSDWGAOBY","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"Q37WSDWGAOBYQERX","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"Q37WSDWG","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:8c3b3c0cc70ce2c6f5cf18ab432ae8f0f9d52ff97921940c67851b0ddf47f4e8","target":"graph","created_at":"2026-05-18T02:39:46Z","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 study the nonexistence of positive solutions for the following two mixed boundary value problems. The first problem is the mixed nonlinear-Neumann boundary value problem $$ \\left\\{\n  \\begin{array}{ll}\n  \\displaystyle -\\Delta u=f(u) &{\\rm in}\\quad \\R, \\\\ \\displaystyle \\\\ \\frac{\\partial u}{\\partial \\nu}=g(u) &{\\rm on}\\quad \\Gamma_1,\\\\ \\displaystyle \\\\ \\frac{\\partial u}{\\partial \\nu}=0 &{\\rm on}\\quad \\Gamma_0 \\end{array} \\right. $$ and the second is the nonlinear-Dirichlet boundary value problem $$ \\left\\{\n  \\begin{array}{ll}\n  \\displaystyle -\\Delta u=f(u) &{\\rm in}\\quad \\R, \\\\ ","authors_text":"Xiaohui Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-20T05:56:41Z","title":"Liouville Type Theorems for Two Mixed Boundary Value Problems with General Nonlinearities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5157","kind":"arxiv","version":1},"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":"sha256:2dacccd961399fb4617e4e9fac20ff0692dcc8b111d80096cc099f7711226881","target":"record","created_at":"2026-05-18T02:39:46Z","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":"ca7658bdb5cc28e3cd497d35815533f719522d1d8c96c9fe77e4fc62fdd7fd04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-20T05:56:41Z","title_canon_sha256":"f65626d29cc4bd8d7b786aebbfa6bc132831cb23f143333dbcd914c521010670"},"schema_version":"1.0","source":{"id":"1410.5157","kind":"arxiv","version":1}},"canonical_sha256":"86ff690ec603838812370f544270690c68d6a5e07f65d8b58c78634b74b7b93c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86ff690ec603838812370f544270690c68d6a5e07f65d8b58c78634b74b7b93c","first_computed_at":"2026-05-18T02:39:46.717124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:46.717124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uqfTxwgEjDYlDldxViym7h8jN0IGLZHYtYzUXQbr92KM44eR/zVYSTyZ6ONeNCBeq/52Bk8wPWv+TGBl73akCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:46.717520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dacccd961399fb4617e4e9fac20ff0692dcc8b111d80096cc099f7711226881","sha256:8c3b3c0cc70ce2c6f5cf18ab432ae8f0f9d52ff97921940c67851b0ddf47f4e8"],"state_sha256":"15a6b4105e605c95f0aea423ee718d9e34c00ae51909e780531cb623c19584a4"}