{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:QINSRF7E6DUPHZAPWCCIEI3SZJ","short_pith_number":"pith:QINSRF7E","schema_version":"1.0","canonical_sha256":"821b2897e4f0e8f3e40fb084822372ca46925cdeeaba1413f3aad0513bb3c5d9","source":{"kind":"arxiv","id":"1108.2803","version":1},"attestation_state":"computed","paper":{"title":"Sign-changing radial solutions for the Schr\\\"odinger-Poisson-Slater problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Isabella Ianni","submitted_at":"2011-08-13T15:44:56Z","abstract_excerpt":"We consider the Schr\\\"odinger-Poisson-Slater (SPS) system in $\\R^3$ and a nonlocal SPS type equation in balls of $\\mathbb R^3$ with Dirichlet boundary conditions. We show that for every $k\\in\\mathbb N$ each problem considered admits a nodal radially symmetric solution which changes sign exacly $k$ times in the radial variable. Moreover when the domain is the ball of $\\mathbb R^3$ we obtain the existence of radial global solutions for the associated nonlocal parabolic problem having $k+1$ nodal regions at every time."},"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":"1108.2803","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-13T15:44:56Z","cross_cats_sorted":[],"title_canon_sha256":"1de002eaca302b4d666dcd6d4f5894498ee0cc2e292f35a6a26e27e9e9f943d9","abstract_canon_sha256":"1ef2b7afff34bb87b0ee337d0afed3ef6f22802d80663f73a26959f922b00a13"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:39.299696Z","signature_b64":"CgDOeKKUyLR7p3ofiJwO0wEzBarQHJ48f0eQ4XiMgc2qGmfr3reyrzs1CbOEizocJZuQvqxRIexZwsWqpSLQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"821b2897e4f0e8f3e40fb084822372ca46925cdeeaba1413f3aad0513bb3c5d9","last_reissued_at":"2026-05-18T01:37:39.299025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:39.299025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sign-changing radial solutions for the Schr\\\"odinger-Poisson-Slater problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Isabella Ianni","submitted_at":"2011-08-13T15:44:56Z","abstract_excerpt":"We consider the Schr\\\"odinger-Poisson-Slater (SPS) system in $\\R^3$ and a nonlocal SPS type equation in balls of $\\mathbb R^3$ with Dirichlet boundary conditions. We show that for every $k\\in\\mathbb N$ each problem considered admits a nodal radially symmetric solution which changes sign exacly $k$ times in the radial variable. Moreover when the domain is the ball of $\\mathbb R^3$ we obtain the existence of radial global solutions for the associated nonlocal parabolic problem having $k+1$ nodal regions at every time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2803","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":"1108.2803","created_at":"2026-05-18T01:37:39.299132+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.2803v1","created_at":"2026-05-18T01:37:39.299132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2803","created_at":"2026-05-18T01:37:39.299132+00:00"},{"alias_kind":"pith_short_12","alias_value":"QINSRF7E6DUP","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"QINSRF7E6DUPHZAP","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"QINSRF7E","created_at":"2026-05-18T12:26:39.201973+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/QINSRF7E6DUPHZAPWCCIEI3SZJ","json":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ.json","graph_json":"https://pith.science/api/pith-number/QINSRF7E6DUPHZAPWCCIEI3SZJ/graph.json","events_json":"https://pith.science/api/pith-number/QINSRF7E6DUPHZAPWCCIEI3SZJ/events.json","paper":"https://pith.science/paper/QINSRF7E"},"agent_actions":{"view_html":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ","download_json":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ.json","view_paper":"https://pith.science/paper/QINSRF7E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.2803&json=true","fetch_graph":"https://pith.science/api/pith-number/QINSRF7E6DUPHZAPWCCIEI3SZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/QINSRF7E6DUPHZAPWCCIEI3SZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ/action/storage_attestation","attest_author":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ/action/author_attestation","sign_citation":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ/action/citation_signature","submit_replication":"https://pith.science/pith/QINSRF7E6DUPHZAPWCCIEI3SZJ/action/replication_record"}},"created_at":"2026-05-18T01:37:39.299132+00:00","updated_at":"2026-05-18T01:37:39.299132+00:00"}