{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:SBFIESYE4IBYWB65HIGBJUNM43","short_pith_number":"pith:SBFIESYE","schema_version":"1.0","canonical_sha256":"904a824b04e2038b07dd3a0c14d1ace6e5533a43fa1dd85fdd404e2b0e577580","source":{"kind":"arxiv","id":"2608.08186","version":1},"attestation_state":"computed","paper":{"title":"Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Guohuan Qiu","submitted_at":"2026-08-08T15:27:38Z","abstract_excerpt":"For each phase $\\Theta\\in(\\pi/2,\\pi)$, we construct a smooth, bounded, uniformly convex domain in $\\mathbb R^3$ for which the zero-Dirichlet solution of the special Lagrangian equation has a nonconvex negative sublevel set."},"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":"2608.08186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-08T15:27:38Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"343dabde7e08e9fb665478b3103f636e8c8e27cb5e6ed8be0fb5585559aa2437","abstract_canon_sha256":"efd171176391e31a0bbff313b385f14ebcfeed7be35f939f0ffeb44c3a17338e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:21:54.983376Z","signature_b64":"AAhFINC1RRRlrCREbMXEBM7zMe39+v6MmGzq9qAHDIlausAdiXuL3Pxzy/KbCqfDujUv1VXXkq708UhSyXKCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"904a824b04e2038b07dd3a0c14d1ace6e5533a43fa1dd85fdd404e2b0e577580","last_reissued_at":"2026-08-11T01:21:54.981115Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:21:54.981115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Guohuan Qiu","submitted_at":"2026-08-08T15:27:38Z","abstract_excerpt":"For each phase $\\Theta\\in(\\pi/2,\\pi)$, we construct a smooth, bounded, uniformly convex domain in $\\mathbb R^3$ for which the zero-Dirichlet solution of the special Lagrangian equation has a nonconvex negative sublevel set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08186","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.08186/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2608.08186","created_at":"2026-08-11T01:21:54.981802+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.08186v1","created_at":"2026-08-11T01:21:54.981802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.08186","created_at":"2026-08-11T01:21:54.981802+00:00"},{"alias_kind":"pith_short_12","alias_value":"SBFIESYE4IBY","created_at":"2026-08-11T01:21:54.981802+00:00"},{"alias_kind":"pith_short_16","alias_value":"SBFIESYE4IBYWB65","created_at":"2026-08-11T01:21:54.981802+00:00"},{"alias_kind":"pith_short_8","alias_value":"SBFIESYE","created_at":"2026-08-11T01:21:54.981802+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/SBFIESYE4IBYWB65HIGBJUNM43","json":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43.json","graph_json":"https://pith.science/api/pith-number/SBFIESYE4IBYWB65HIGBJUNM43/graph.json","events_json":"https://pith.science/api/pith-number/SBFIESYE4IBYWB65HIGBJUNM43/events.json","paper":"https://pith.science/paper/SBFIESYE"},"agent_actions":{"view_html":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43","download_json":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43.json","view_paper":"https://pith.science/paper/SBFIESYE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.08186&json=true","fetch_graph":"https://pith.science/api/pith-number/SBFIESYE4IBYWB65HIGBJUNM43/graph.json","fetch_events":"https://pith.science/api/pith-number/SBFIESYE4IBYWB65HIGBJUNM43/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43/action/storage_attestation","attest_author":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43/action/author_attestation","sign_citation":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43/action/citation_signature","submit_replication":"https://pith.science/pith/SBFIESYE4IBYWB65HIGBJUNM43/action/replication_record"}},"created_at":"2026-08-11T01:21:54.981802+00:00","updated_at":"2026-08-11T01:21:54.981802+00:00"}