{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:LJXWGOHC4Q7H7NDQLRZOOOULRK","short_pith_number":"pith:LJXWGOHC","schema_version":"1.0","canonical_sha256":"5a6f6338e2e43e7fb4705c72e73a8b8aa5f48b43526d08c34e1dc139fd9c6487","source":{"kind":"arxiv","id":"1606.03602","version":3},"attestation_state":"computed","paper":{"title":"New results for the Liebau phenomenon via fixed point index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Gennaro Infante, Jos\\'e \\'Angel Cid, Milan Tvrd\\'y, Miros{\\l}awa Zima","submitted_at":"2016-06-11T14:25:32Z","abstract_excerpt":"We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model. Our methodology relies on the use of classical fixed point index. Some examples are provided to illustrate our theory. We improve and complement previous results in the literature."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1606.03602","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-06-11T14:25:32Z","cross_cats_sorted":[],"title_canon_sha256":"d57eca7e494ae8071620c8e3ba33011be02a2dc089271302e8ba64cd80842568","abstract_canon_sha256":"7b7fe7967514e63860e84af12c580915f2042c08aa85945e11ccf4f4a53cd24e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:35.937123Z","signature_b64":"4WM9zPexADzB38igy9984V0HA4Z5Ky6pFFn4RPNb1X46PXkePQDr8sZvM8z9hoz48GN2lDioZeaQCLnu9/EkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a6f6338e2e43e7fb4705c72e73a8b8aa5f48b43526d08c34e1dc139fd9c6487","last_reissued_at":"2026-05-18T00:28:35.936437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:35.936437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New results for the Liebau phenomenon via fixed point index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Gennaro Infante, Jos\\'e \\'Angel Cid, Milan Tvrd\\'y, Miros{\\l}awa Zima","submitted_at":"2016-06-11T14:25:32Z","abstract_excerpt":"We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model. Our methodology relies on the use of classical fixed point index. Some examples are provided to illustrate our theory. We improve and complement previous results in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03602","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.03602","created_at":"2026-05-18T00:28:35.936542+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.03602v3","created_at":"2026-05-18T00:28:35.936542+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03602","created_at":"2026-05-18T00:28:35.936542+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJXWGOHC4Q7H","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJXWGOHC4Q7H7NDQ","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJXWGOHC","created_at":"2026-05-18T12:30:29.479603+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK","json":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK.json","graph_json":"https://pith.science/api/pith-number/LJXWGOHC4Q7H7NDQLRZOOOULRK/graph.json","events_json":"https://pith.science/api/pith-number/LJXWGOHC4Q7H7NDQLRZOOOULRK/events.json","paper":"https://pith.science/paper/LJXWGOHC"},"agent_actions":{"view_html":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK","download_json":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK.json","view_paper":"https://pith.science/paper/LJXWGOHC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.03602&json=true","fetch_graph":"https://pith.science/api/pith-number/LJXWGOHC4Q7H7NDQLRZOOOULRK/graph.json","fetch_events":"https://pith.science/api/pith-number/LJXWGOHC4Q7H7NDQLRZOOOULRK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK/action/storage_attestation","attest_author":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK/action/author_attestation","sign_citation":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK/action/citation_signature","submit_replication":"https://pith.science/pith/LJXWGOHC4Q7H7NDQLRZOOOULRK/action/replication_record"}},"created_at":"2026-05-18T00:28:35.936542+00:00","updated_at":"2026-05-18T00:28:35.936542+00:00"}