{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3XLNSNTD7T6DPCVTVAZIRJ43FN","short_pith_number":"pith:3XLNSNTD","schema_version":"1.0","canonical_sha256":"ddd6d93663fcfc378ab3a83288a79b2b6c1da8f3aad1867c59b84cdd05ba050d","source":{"kind":"arxiv","id":"1702.07077","version":2},"attestation_state":"computed","paper":{"title":"Min-oo conjecture for fully nonlinear conformally invariant equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Ezequiel Barbosa, Jos\\'e M. Espinar, Marcos P. Cavalcante","submitted_at":"2017-02-23T02:53:36Z","abstract_excerpt":"In this paper we show rigidity results for super-solutions to fully nonlinear elliptic conformally invariant equations on subdomains of the standard $n$-sphere $\\mathbb S^n$ under suitable conditions along the boundary. We emphasize that our results do not assume concavity assumption on the fully nonlinear equations we will work with.\n  This proves rigidity for compact connected locally conformally flat manifolds $(M,g)$ with boundary such that the eigenvalues of the Schouten tensor satisfy a fully nonlinear elliptic inequality and whose boundary is isometric to a geodesic sphere $\\partial D(r"},"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":"1702.07077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-23T02:53:36Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"e0e5b8eaff544a6ad5182862a1d08493b3b8d39dc6c80d9aaac408a9b675457b","abstract_canon_sha256":"688ac0b746bd69dedc52b1a870e4b5dc0a090cad6299fb863fc56af9374b0c47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:09.363151Z","signature_b64":"0FkxjAMLtABjDNUoRaIr+a+XZdfN6JUxqX+ryBBm2X/eZmEA7thPtCXARvGBctFP9qwcvf3Ktd6ZXpfH26pDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddd6d93663fcfc378ab3a83288a79b2b6c1da8f3aad1867c59b84cdd05ba050d","last_reissued_at":"2026-05-18T00:00:09.362616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:09.362616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Min-oo conjecture for fully nonlinear conformally invariant equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Ezequiel Barbosa, Jos\\'e M. Espinar, Marcos P. Cavalcante","submitted_at":"2017-02-23T02:53:36Z","abstract_excerpt":"In this paper we show rigidity results for super-solutions to fully nonlinear elliptic conformally invariant equations on subdomains of the standard $n$-sphere $\\mathbb S^n$ under suitable conditions along the boundary. We emphasize that our results do not assume concavity assumption on the fully nonlinear equations we will work with.\n  This proves rigidity for compact connected locally conformally flat manifolds $(M,g)$ with boundary such that the eigenvalues of the Schouten tensor satisfy a fully nonlinear elliptic inequality and whose boundary is isometric to a geodesic sphere $\\partial D(r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07077","kind":"arxiv","version":2},"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":"1702.07077","created_at":"2026-05-18T00:00:09.362705+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07077v2","created_at":"2026-05-18T00:00:09.362705+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07077","created_at":"2026-05-18T00:00:09.362705+00:00"},{"alias_kind":"pith_short_12","alias_value":"3XLNSNTD7T6D","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3XLNSNTD7T6DPCVT","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3XLNSNTD","created_at":"2026-05-18T12:30:58.224056+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/3XLNSNTD7T6DPCVTVAZIRJ43FN","json":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN.json","graph_json":"https://pith.science/api/pith-number/3XLNSNTD7T6DPCVTVAZIRJ43FN/graph.json","events_json":"https://pith.science/api/pith-number/3XLNSNTD7T6DPCVTVAZIRJ43FN/events.json","paper":"https://pith.science/paper/3XLNSNTD"},"agent_actions":{"view_html":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN","download_json":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN.json","view_paper":"https://pith.science/paper/3XLNSNTD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07077&json=true","fetch_graph":"https://pith.science/api/pith-number/3XLNSNTD7T6DPCVTVAZIRJ43FN/graph.json","fetch_events":"https://pith.science/api/pith-number/3XLNSNTD7T6DPCVTVAZIRJ43FN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN/action/storage_attestation","attest_author":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN/action/author_attestation","sign_citation":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN/action/citation_signature","submit_replication":"https://pith.science/pith/3XLNSNTD7T6DPCVTVAZIRJ43FN/action/replication_record"}},"created_at":"2026-05-18T00:00:09.362705+00:00","updated_at":"2026-05-18T00:00:09.362705+00:00"}