{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GTUN3X27UULK5FM2Y2GURF2GU7","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":"8186062a9cd778e9efa577ed8d35b61efe880a9e05ed63beb7a9e042966cedc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-26T11:48:35Z","title_canon_sha256":"5915e72ab3aabd0d50c15090fe55f329b743484cffa5a2d29314fa6f624a26f5"},"schema_version":"1.0","source":{"id":"1804.10003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10003","created_at":"2026-05-18T00:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10003v1","created_at":"2026-05-18T00:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10003","created_at":"2026-05-18T00:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"GTUN3X27UULK","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GTUN3X27UULK5FM2","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GTUN3X27","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:b6c16198ff0682419234a11dd09f6fc09947cdca3205bc8826cbeb673261eede","target":"graph","created_at":"2026-05-18T00:17:25Z","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":"We study a parametric Robin problem driven by a nonlinear nonhomogeneous differential operator and with a superlinear Carath\\'eodory reaction term. We prove a bifurcation-type theorem for small values of the parameter. Also, we show that as the parameter $\\lambda>0$ approaches zero we can find positive solutions with arbitrarily big and arbitrarily small Sobolev norm. Finally we show that for every admissible parameter value there is a smallest positive solution $u^*_{\\lambda}$ of the problem and we investigate the properties of the map $\\lambda\\mapsto u^*_{\\lambda}$.","authors_text":"Du\\v{s}an D. Repov\\v{s}, Nikolaos S. Papageorgiou, Vicen\\c{t}iu D. R\\u{a}dulescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-26T11:48:35Z","title":"Positive solutions for nonlinear nonhomogeneous parametric Robin problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10003","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:c4127db140b22fe71f4a08feae9182cc4b17ec914ec82a25f813a09d73d0bfbb","target":"record","created_at":"2026-05-18T00:17:25Z","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":"8186062a9cd778e9efa577ed8d35b61efe880a9e05ed63beb7a9e042966cedc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-26T11:48:35Z","title_canon_sha256":"5915e72ab3aabd0d50c15090fe55f329b743484cffa5a2d29314fa6f624a26f5"},"schema_version":"1.0","source":{"id":"1804.10003","kind":"arxiv","version":1}},"canonical_sha256":"34e8dddf5fa516ae959ac68d489746a7e8de23468db7fe159a2a4809bb4c57e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34e8dddf5fa516ae959ac68d489746a7e8de23468db7fe159a2a4809bb4c57e8","first_computed_at":"2026-05-18T00:17:25.418290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:25.418290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bsBCfyhSZz87Evb3viTDyLXz2G+tyEEAcoFJB8PvQWmrszJhMGzzHzqJQJLZ9MpqZ0M0+AAHfq7hQHD8Cy0hCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:25.419032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4127db140b22fe71f4a08feae9182cc4b17ec914ec82a25f813a09d73d0bfbb","sha256:b6c16198ff0682419234a11dd09f6fc09947cdca3205bc8826cbeb673261eede"],"state_sha256":"9eadc222c029e689e7db2b785a763a6621c3a9c3b8472308d225179e3af8c7cf"}