{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X7XI263PQGFLPT3W7BAWU2T6AX","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":"a6bf02c18ad353c4774b5851e1d07824d9661f07da3f581156dddb2ac0257bef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T10:03:25Z","title_canon_sha256":"c167b693373ac448f1129df986a0128372a0c49a87efe0508821f0f850d5bf63"},"schema_version":"1.0","source":{"id":"1709.03315","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03315","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03315v1","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03315","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"X7XI263PQGFL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X7XI263PQGFLPT3W","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X7XI263P","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:ae3313763f7c8d54db9aa11613f5bd66072b71842e3f873ac75d25af205526d1","target":"graph","created_at":"2026-05-18T00:35:38Z","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 semilinear elliptic problem \\begin{equation}\\label{problemAbstract} \\left\\{\\begin{array}{lr}-\\Delta u= |u|^{p-1}u\\qquad \\mbox{ in }B\\\\ u=0\\qquad\\qquad\\qquad\\mbox{ on }\\partial B \\end{array}\\right.\\tag{$\\mathcal E_p$} \\end{equation} where $B$ is the unit ball of $\\mathbb R^2$ centered at the origin and $p\\in (1,+\\infty)$. We prove the existence of non-radial sign-changing solutions to \\eqref{problemAbstract} which are \\emph{quasi-radial}, namely solutions whose nodal line is the union of a finite number of disjoint simple closed curves, which are the boundary of nested domains c","authors_text":"Francesca Gladiali, Isabella Ianni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T10:03:25Z","title":"Quasi-radial nodal solutions for the Lane-Emden problem in the ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03315","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:a00df0bf5cf612778be6c3e1e4199ede267ff6d5db21ff1be8ada90f40a4e8a3","target":"record","created_at":"2026-05-18T00:35:38Z","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":"a6bf02c18ad353c4774b5851e1d07824d9661f07da3f581156dddb2ac0257bef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T10:03:25Z","title_canon_sha256":"c167b693373ac448f1129df986a0128372a0c49a87efe0508821f0f850d5bf63"},"schema_version":"1.0","source":{"id":"1709.03315","kind":"arxiv","version":1}},"canonical_sha256":"bfee8d7b6f818ab7cf76f8416a6a7e05cdc55ca9a2cdf7557b7d7a9fdf13b4d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfee8d7b6f818ab7cf76f8416a6a7e05cdc55ca9a2cdf7557b7d7a9fdf13b4d4","first_computed_at":"2026-05-18T00:35:38.766979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:38.766979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jkE3SWcVLgFB0A0tUtjMiP0+BVHDwbuFfgW9oHSk/8AXCn0LrGcXSz5o8vUwiTQPkuLx7rirt1dl6VN5bW3zDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:38.767509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03315","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a00df0bf5cf612778be6c3e1e4199ede267ff6d5db21ff1be8ada90f40a4e8a3","sha256:ae3313763f7c8d54db9aa11613f5bd66072b71842e3f873ac75d25af205526d1"],"state_sha256":"6f2f671ca1834f65f02a315f56f23a910e628c25b7d2a9d93db38051abfce7f2"}