{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4MM4FMINRXOE6E2TZHJACKXV33","short_pith_number":"pith:4MM4FMIN","schema_version":"1.0","canonical_sha256":"e319c2b10d8ddc4f1353c9d2012af5deda755f0fc3a0e99c9ef4e072bdf9bd2c","source":{"kind":"arxiv","id":"1503.05310","version":1},"attestation_state":"computed","paper":{"title":"Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alberto Boscaggin, Fabio Zanolin, Guglielmo Feltrin","submitted_at":"2015-03-18T09:00:08Z","abstract_excerpt":"We study the periodic and the Neumann boundary value problems associated with the second order nonlinear differential equation \\begin{equation*} u'' + c u' + \\lambda a(t) g(u) = 0, \\end{equation*} where $g \\colon \\mathopen{[}0,+\\infty\\mathclose{[}\\to \\mathopen{[}0,+\\infty\\mathclose{[}$ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when $\\int_{0}^{T} a(t) \\!dt < 0$ and $\\lambda > 0$ is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations."},"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":"1503.05310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-18T09:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"7773c6fb5257b353ecca8fe15874edca2e422cd11557620d43446476d36c2b40","abstract_canon_sha256":"c2ecfe30a1ead79ffffb0598058c7fbaebfb7965955761dc03300e907717b329"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:50.793783Z","signature_b64":"NFlY7KaAiW74pWO2ei3K64FHtz5PdZh4906v/Z1CAOGz6yu5EAXPf9QZDRxfc3hDIk6igbMZA1jN7OFUeBAZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e319c2b10d8ddc4f1353c9d2012af5deda755f0fc3a0e99c9ef4e072bdf9bd2c","last_reissued_at":"2026-05-18T02:21:50.792979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:50.792979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alberto Boscaggin, Fabio Zanolin, Guglielmo Feltrin","submitted_at":"2015-03-18T09:00:08Z","abstract_excerpt":"We study the periodic and the Neumann boundary value problems associated with the second order nonlinear differential equation \\begin{equation*} u'' + c u' + \\lambda a(t) g(u) = 0, \\end{equation*} where $g \\colon \\mathopen{[}0,+\\infty\\mathclose{[}\\to \\mathopen{[}0,+\\infty\\mathclose{[}$ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when $\\int_{0}^{T} a(t) \\!dt < 0$ and $\\lambda > 0$ is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05310","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":"1503.05310","created_at":"2026-05-18T02:21:50.793094+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05310v1","created_at":"2026-05-18T02:21:50.793094+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05310","created_at":"2026-05-18T02:21:50.793094+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MM4FMINRXOE","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MM4FMINRXOE6E2T","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MM4FMIN","created_at":"2026-05-18T12:29:05.191682+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/4MM4FMINRXOE6E2TZHJACKXV33","json":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33.json","graph_json":"https://pith.science/api/pith-number/4MM4FMINRXOE6E2TZHJACKXV33/graph.json","events_json":"https://pith.science/api/pith-number/4MM4FMINRXOE6E2TZHJACKXV33/events.json","paper":"https://pith.science/paper/4MM4FMIN"},"agent_actions":{"view_html":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33","download_json":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33.json","view_paper":"https://pith.science/paper/4MM4FMIN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05310&json=true","fetch_graph":"https://pith.science/api/pith-number/4MM4FMINRXOE6E2TZHJACKXV33/graph.json","fetch_events":"https://pith.science/api/pith-number/4MM4FMINRXOE6E2TZHJACKXV33/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33/action/storage_attestation","attest_author":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33/action/author_attestation","sign_citation":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33/action/citation_signature","submit_replication":"https://pith.science/pith/4MM4FMINRXOE6E2TZHJACKXV33/action/replication_record"}},"created_at":"2026-05-18T02:21:50.793094+00:00","updated_at":"2026-05-18T02:21:50.793094+00:00"}