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In particular, for any $n$-manifold $N$ satisfying $\\mathrm{diam}(N) \\le D$ and $\\mathrm{Ric} \\ge -(n-1)$, the universal cover and fundamental group $(\\widetilde{N},G)$ satisfies the above condition.\n  Let $\\{(M_i,p_i)\\}_{i \\in \\mathbb{N}}$ be a sequence of complete, connected and simply connected $n$-dim Riemmannian manifold"},"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":"2307.07658","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-07-14T23:38:46Z","cross_cats_sorted":[],"title_canon_sha256":"9a2a954b80208b52b6a4a34e00a3c5a90059833bd246dd00b8cb34f9cc3311fe","abstract_canon_sha256":"7e9b5d195cdea5940679068070ea9a12da130f7e787ec267a99e34e17a64bb43"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:45:40.608616Z","signature_b64":"6jEADLYb5ia9SSgJ129nYbTXL4r0TpUTS5yguTv72H7qrYqShPce7hWkOTodLQnwf670ggP0vkzXiYhEHGrxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"223d667a2b82cc5bf46231f11e8190179ca3f68fd00d1649661a144e60c7d9ad","last_reissued_at":"2026-07-05T09:45:40.608179Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:45:40.608179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the limit of simply connected manifolds with discrete isometric cocompact group actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jikang Wang","submitted_at":"2023-07-14T23:38:46Z","abstract_excerpt":"We study complete, connected and simply connected $n$-dim Riemannian manifold $M$ satisfying Ricci curvature lower bound. 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