{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CBQQXIC7KKHORWCKQC4SPXVWUO","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":"c04bd4bf809a85a623d6429ab5d5c488242a996bbf7508b760a24acb4d2a7794","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-08-22T21:08:21Z","title_canon_sha256":"73ebb8b2013cfc3afb058cfd164112121fdad6f9d9bd7ca7f4a0ed40a72894ca"},"schema_version":"1.0","source":{"id":"1908.08598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08598","created_at":"2026-07-04T23:59:15Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08598v1","created_at":"2026-07-04T23:59:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08598","created_at":"2026-07-04T23:59:15Z"},{"alias_kind":"pith_short_12","alias_value":"CBQQXIC7KKHO","created_at":"2026-07-04T23:59:15Z"},{"alias_kind":"pith_short_16","alias_value":"CBQQXIC7KKHORWCK","created_at":"2026-07-04T23:59:15Z"},{"alias_kind":"pith_short_8","alias_value":"CBQQXIC7","created_at":"2026-07-04T23:59:15Z"}],"graph_snapshots":[{"event_id":"sha256:b8cb0f50b731619030d703ff71877079e17aa84bfec139ec6e9e11ac2c0d2f36","target":"graph","created_at":"2026-07-04T23:59:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.08598/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the existence and multiplicity of positive solutions for a nonlinear fourth-order with multi-point boundary conditions involving an integral boundary condition. The main tool is Krasnosel'skii fixed point theorem on cones.","authors_text":"Cheikh Guendouz, Faouzi Haddouchi, Slimane Benaicha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-08-22T21:08:21Z","title":"Existence and multiplicity of positive solutions to a fourth-order multi-point boundary value problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08598","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":"sha256:6cc5c9bd032d0e5c8832e4b036362b28fba1ae1339d493bee4623ed9a2fd3a1a","target":"record","created_at":"2026-07-04T23:59:15Z","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":"c04bd4bf809a85a623d6429ab5d5c488242a996bbf7508b760a24acb4d2a7794","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-08-22T21:08:21Z","title_canon_sha256":"73ebb8b2013cfc3afb058cfd164112121fdad6f9d9bd7ca7f4a0ed40a72894ca"},"schema_version":"1.0","source":{"id":"1908.08598","kind":"arxiv","version":1}},"canonical_sha256":"10610ba05f528ee8d84a80b927deb6a395016c23a8ba8fe464ca34625e0109fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10610ba05f528ee8d84a80b927deb6a395016c23a8ba8fe464ca34625e0109fa","first_computed_at":"2026-07-04T23:59:15.975645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:15.975645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hsb2iitOO2m9z8k+r6XZN4nncafSmwL8tPsdM/WqAM97ly5opHer1fnI4YZyJrSLzIjjWEzPXWNsLQdKwQy1Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:15.976100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cc5c9bd032d0e5c8832e4b036362b28fba1ae1339d493bee4623ed9a2fd3a1a","sha256:b8cb0f50b731619030d703ff71877079e17aa84bfec139ec6e9e11ac2c0d2f36"],"state_sha256":"bd23de0266a782eded9085f54456199cc0b4a712374ff119b0f5d3b8f835ab1d"}