{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KMPV4Q53P7WTGFZCLR2BQ744B7","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":"b734cabbfc9728cc657db571c723f23273a0b112054119cdba49684362cfedd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-11T16:27:51Z","title_canon_sha256":"c356c0fcbb7932f55107b74c73964c6604eb545170b0a01cb8daa4f59a91364a"},"schema_version":"1.0","source":{"id":"1607.03020","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03020","created_at":"2026-05-18T00:28:35Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03020v3","created_at":"2026-05-18T00:28:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03020","created_at":"2026-05-18T00:28:35Z"},{"alias_kind":"pith_short_12","alias_value":"KMPV4Q53P7WT","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KMPV4Q53P7WTGFZC","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KMPV4Q53","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:5ca283859927ae5ae542ec560caf12655cebef7f3b86711b0325c4ed44f4b222","target":"graph","created_at":"2026-05-18T00:28:35Z","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 provide new results on the existence of nonzero positive weak solutions for a class of second order elliptic systems. Our approach relies on a combined use of iterative techniques and classical fixed point index. Some examples are presented to illustrate the theoretical results.","authors_text":"Gennaro Infante, Jos\\'e \\'Angel Cid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-11T16:27:51Z","title":"A non-variational approach to the existence of nonzero positive solutions for elliptic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03020","kind":"arxiv","version":3},"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":"sha256:9e903d0e8529a8e3bdc09fbe4ea0cfeef51c9fa3da754aa57558c3211b6f097d","target":"record","created_at":"2026-05-18T00:28:35Z","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":"b734cabbfc9728cc657db571c723f23273a0b112054119cdba49684362cfedd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-11T16:27:51Z","title_canon_sha256":"c356c0fcbb7932f55107b74c73964c6604eb545170b0a01cb8daa4f59a91364a"},"schema_version":"1.0","source":{"id":"1607.03020","kind":"arxiv","version":3}},"canonical_sha256":"531f5e43bb7fed3317225c74187f9c0ff34ca8dca3809fc834fe632513bc6937","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"531f5e43bb7fed3317225c74187f9c0ff34ca8dca3809fc834fe632513bc6937","first_computed_at":"2026-05-18T00:28:35.884634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:35.884634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8NsKlB8npKTECC8smXYEaKEWZ/Kziq+VLidQPj/PU5u4IInuMPxe6fPtS8gSEW0phfT4wibd06JVF8VOu220Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:35.885240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.03020","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e903d0e8529a8e3bdc09fbe4ea0cfeef51c9fa3da754aa57558c3211b6f097d","sha256:5ca283859927ae5ae542ec560caf12655cebef7f3b86711b0325c4ed44f4b222"],"state_sha256":"51f7c252c526c6379e67fd49f92ffcb8acb32d77a340eda9bb1b4b8c1d20f930"}