{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5J57SEBRVUYRVIBXX4QUH5DRIB","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":"e5523e009aded18f3652b3172e012d26bc2b4f48df0e1e69d27554f657712bfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-10T13:10:02Z","title_canon_sha256":"205d7f343ac1242c243bf82f2865d74b4859b3fb242c15ad339ba2842962cad1"},"schema_version":"1.0","source":{"id":"1707.02835","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02835","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02835v2","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02835","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"pith_short_12","alias_value":"5J57SEBRVUYR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5J57SEBRVUYRVIBX","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5J57SEBR","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:219c64e89d0d3f6db7cb0b9f4b68f811050b487d5e094202402f46017d2eaa10","target":"graph","created_at":"2026-05-17T23:54:26Z","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 prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of multi-point, integral and nonlinear boundary conditions. We also present a non-existence result. We provide some examples to illustrate the applicability our theoretical results.","authors_text":"Gennaro Infante","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-10T13:10:02Z","title":"Nonzero positive solutions of a multi-parameter elliptic system with functional BCs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02835","kind":"arxiv","version":2},"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":"sha256:13e2620311d5d91d3a0d60fb616e3e7f1e154c7fc82afa011d472d695e9b0463","target":"record","created_at":"2026-05-17T23:54:26Z","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":"e5523e009aded18f3652b3172e012d26bc2b4f48df0e1e69d27554f657712bfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-10T13:10:02Z","title_canon_sha256":"205d7f343ac1242c243bf82f2865d74b4859b3fb242c15ad339ba2842962cad1"},"schema_version":"1.0","source":{"id":"1707.02835","kind":"arxiv","version":2}},"canonical_sha256":"ea7bf91031ad311aa037bf2143f471407eab9d8e5f70a3b2203cf18319939c3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea7bf91031ad311aa037bf2143f471407eab9d8e5f70a3b2203cf18319939c3e","first_computed_at":"2026-05-17T23:54:26.730378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:26.730378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5AeM7wNRetihd8Dk8Cq2JybgjjkGwXS/uRpLkObMLmDziCOOvnFvUQWZwEPgr7o9xTCnBPE0BzeKo0XLU0cZBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:26.730961Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.02835","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13e2620311d5d91d3a0d60fb616e3e7f1e154c7fc82afa011d472d695e9b0463","sha256:219c64e89d0d3f6db7cb0b9f4b68f811050b487d5e094202402f46017d2eaa10"],"state_sha256":"11b2c0846d6d2d421261258001afaa6b13c56fff4b7d5f44d4f7058c5e14a0e6"}