{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KYUJHOVSGPZZLPRGDJDNZB7LCZ","short_pith_number":"pith:KYUJHOVS","schema_version":"1.0","canonical_sha256":"562893bab233f395be261a46dc87eb164fa5787f1f9fc107177ea362cf247a65","source":{"kind":"arxiv","id":"1411.7909","version":1},"attestation_state":"computed","paper":{"title":"Infinite solutions having a prescribed number of nodes for a p-Laplacian problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jing Zeng","submitted_at":"2014-11-28T15:38:19Z","abstract_excerpt":"In this paper, we are concern with the multiplicity of solutions for a p-Laplacian problem. A weaker super-quadratic assumptions is required on the nonlinearity. Under the weaker condition we give a new proof for the infinite solutions having a prescribed number of nodes to the problem. It turns out that the weaker condition on nonlinearity suffices to guarantee the infinitely many solutions. At the same time, a global characterization of the critical values of the nodal radial solutions are given."},"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":"1411.7909","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-28T15:38:19Z","cross_cats_sorted":[],"title_canon_sha256":"c4b36560364440619bf53f260754250a98882edd8ea2097ca4054763ed641e17","abstract_canon_sha256":"a65deabb59a327236b02d45f6517a5b6efaf9fa7a8ed783767f436deab7c4f73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:37.009670Z","signature_b64":"/LR5S3kw2SfSQxdLVoIA7dI4mILFzYxE4ICliLETLBWKDXpVIHA68LeuL9ASpTW2qBK3YrJ95DJrIi96jlKcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"562893bab233f395be261a46dc87eb164fa5787f1f9fc107177ea362cf247a65","last_reissued_at":"2026-05-18T02:32:37.009299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:37.009299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinite solutions having a prescribed number of nodes for a p-Laplacian problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jing Zeng","submitted_at":"2014-11-28T15:38:19Z","abstract_excerpt":"In this paper, we are concern with the multiplicity of solutions for a p-Laplacian problem. A weaker super-quadratic assumptions is required on the nonlinearity. Under the weaker condition we give a new proof for the infinite solutions having a prescribed number of nodes to the problem. It turns out that the weaker condition on nonlinearity suffices to guarantee the infinitely many solutions. At the same time, a global characterization of the critical values of the nodal radial solutions are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7909","kind":"arxiv","version":1},"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":"1411.7909","created_at":"2026-05-18T02:32:37.009371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.7909v1","created_at":"2026-05-18T02:32:37.009371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7909","created_at":"2026-05-18T02:32:37.009371+00:00"},{"alias_kind":"pith_short_12","alias_value":"KYUJHOVSGPZZ","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KYUJHOVSGPZZLPRG","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KYUJHOVS","created_at":"2026-05-18T12:28:35.611951+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/KYUJHOVSGPZZLPRGDJDNZB7LCZ","json":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ.json","graph_json":"https://pith.science/api/pith-number/KYUJHOVSGPZZLPRGDJDNZB7LCZ/graph.json","events_json":"https://pith.science/api/pith-number/KYUJHOVSGPZZLPRGDJDNZB7LCZ/events.json","paper":"https://pith.science/paper/KYUJHOVS"},"agent_actions":{"view_html":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ","download_json":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ.json","view_paper":"https://pith.science/paper/KYUJHOVS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.7909&json=true","fetch_graph":"https://pith.science/api/pith-number/KYUJHOVSGPZZLPRGDJDNZB7LCZ/graph.json","fetch_events":"https://pith.science/api/pith-number/KYUJHOVSGPZZLPRGDJDNZB7LCZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ/action/storage_attestation","attest_author":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ/action/author_attestation","sign_citation":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ/action/citation_signature","submit_replication":"https://pith.science/pith/KYUJHOVSGPZZLPRGDJDNZB7LCZ/action/replication_record"}},"created_at":"2026-05-18T02:32:37.009371+00:00","updated_at":"2026-05-18T02:32:37.009371+00:00"}