{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:N32WQWESIFL5S4ONWZZF3QFCEY","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":"0a4700ead0fb71b850806f3a87e58e5e522d8c4df319d9c52f2d196c639a49be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-09-29T09:14:04Z","title_canon_sha256":"ed962fbc1c112fb417eb13a5445688b6cea1f8f4893affdacd281e0accd81085"},"schema_version":"1.0","source":{"id":"1509.08653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08653","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08653v1","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08653","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"N32WQWESIFL5","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"N32WQWESIFL5S4ON","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"N32WQWES","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:47bfd321cdda9cd0ffb907f8671686beb09dd97549d1d3719c027532b3a3f818","target":"graph","created_at":"2026-05-18T00:02:28Z","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 deal with the problem of existence of periodic solutions for the scalar differential equation x\" + f (t, x) = 0 when the asymmetric nonlinearity satisfies a one-sided superlinear growth at infinity. The nonlinearity is asked to be next to resonance and a Landesman-Lazer type of condition will be introduced in order to obtain a positive answer. Moreover we provide also the corresponding result for equations with a singularity and asymptotically linear growth at infinity, showing a further application to radially symmetric systems.","authors_text":"Andrea Sfecci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-09-29T09:14:04Z","title":"Double resonance for one-sided superlinear or singular nonlinearities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08653","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":"sha256:6cb3348c8082081040c684b18fa40314d28d662aff310c4c077008d3e526040e","target":"record","created_at":"2026-05-18T00:02:28Z","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":"0a4700ead0fb71b850806f3a87e58e5e522d8c4df319d9c52f2d196c639a49be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-09-29T09:14:04Z","title_canon_sha256":"ed962fbc1c112fb417eb13a5445688b6cea1f8f4893affdacd281e0accd81085"},"schema_version":"1.0","source":{"id":"1509.08653","kind":"arxiv","version":1}},"canonical_sha256":"6ef56858924157d971cdb6725dc0a226149ece11138225a6e384c1653034ed3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ef56858924157d971cdb6725dc0a226149ece11138225a6e384c1653034ed3a","first_computed_at":"2026-05-18T00:02:28.483944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:28.483944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ght398Tl/8a+NlujxBYBLtUAE1IervYp/D41pWJSeA1qAdw9ygkWW2Cq4/IZdK9cMEKyC/KBBHxJ9BBLod4vDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:28.484589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cb3348c8082081040c684b18fa40314d28d662aff310c4c077008d3e526040e","sha256:47bfd321cdda9cd0ffb907f8671686beb09dd97549d1d3719c027532b3a3f818"],"state_sha256":"8694e24052b3d82ce6b115d887ef8f370da8cb58d7606fd5756d3e1b980f214a"}