{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QINSRF7E6DUPHZAPWCCIEI3SZJ","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":"1ef2b7afff34bb87b0ee337d0afed3ef6f22802d80663f73a26959f922b00a13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-13T15:44:56Z","title_canon_sha256":"1de002eaca302b4d666dcd6d4f5894498ee0cc2e292f35a6a26e27e9e9f943d9"},"schema_version":"1.0","source":{"id":"1108.2803","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2803","created_at":"2026-05-18T01:37:39Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2803v1","created_at":"2026-05-18T01:37:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2803","created_at":"2026-05-18T01:37:39Z"},{"alias_kind":"pith_short_12","alias_value":"QINSRF7E6DUP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QINSRF7E6DUPHZAP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QINSRF7E","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:a2306a0149f54f1037548a9f7410cd26a65c18b0c0525027cffa96a73c3828da","target":"graph","created_at":"2026-05-18T01:37:39Z","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 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.","authors_text":"Isabella Ianni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-13T15:44:56Z","title":"Sign-changing radial solutions for the Schr\\\"odinger-Poisson-Slater problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2803","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:ac6f78c08d6f6885cb44c5d91dabb36fbd6daa381ba2cb599921420a134f56f4","target":"record","created_at":"2026-05-18T01:37:39Z","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":"1ef2b7afff34bb87b0ee337d0afed3ef6f22802d80663f73a26959f922b00a13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-13T15:44:56Z","title_canon_sha256":"1de002eaca302b4d666dcd6d4f5894498ee0cc2e292f35a6a26e27e9e9f943d9"},"schema_version":"1.0","source":{"id":"1108.2803","kind":"arxiv","version":1}},"canonical_sha256":"821b2897e4f0e8f3e40fb084822372ca46925cdeeaba1413f3aad0513bb3c5d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"821b2897e4f0e8f3e40fb084822372ca46925cdeeaba1413f3aad0513bb3c5d9","first_computed_at":"2026-05-18T01:37:39.299025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:39.299025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CgDOeKKUyLR7p3ofiJwO0wEzBarQHJ48f0eQ4XiMgc2qGmfr3reyrzs1CbOEizocJZuQvqxRIexZwsWqpSLQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:39.299696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.2803","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac6f78c08d6f6885cb44c5d91dabb36fbd6daa381ba2cb599921420a134f56f4","sha256:a2306a0149f54f1037548a9f7410cd26a65c18b0c0525027cffa96a73c3828da"],"state_sha256":"4d154278d978970e77ffefb2f71e91610e74132fe72e456186155f141c45d904"}