| \textbf{Extrinsic discrete and continuous graph Laplace operators | definition | definition 2.4 | arxiv |
| \textbf{Extrinsic forward map | definition | definition 2.8 | arxiv |
| \textbf{Fixed embedding, fixed density $p$: extrinsic operator identifies the volume form $\mu_g$ | statement | corollary B.2 | arxiv |
| \textbf{Extrinsic operator identifies the embedding-induced Riemannian metric for fixed bandwidth | statement | theorem 3.5 | arxiv |
| \textbf{Topological embedding of the intrinsic forward map at fixed bandwidth | statement | theorem 4.1 | arxiv |
| \textbf{Fixed embedding, fixed metric: extrinsic operator identifies density up to almost everywhere equality | statement | corollary B.3 | arxiv |
| \textbf{A $C^2$ Riemannian metric is determined by its distance | statement | lemma B.1 | arxiv |
| \textbf{Consistent recovery of the extrinsic embedding class and sampling density from fixed-bandwidth graph Laplace operators | statement | theorem 1.2 | arxiv |
| \textbf{Weak metric on $ \cL(C(M),C(M))$ | definition | definition 2.9 | arxiv |
| C4AW748K2V | statement | proposition 2.11 | arxiv |
| \textbf{Unnormalized continuous graph Laplace operator | definition | definition 2.2 | arxiv |
| \textbf{Extrinsic operator jointly identifies the sampling density and the embedding-induced metric | statement | theorem 3.6 | arxiv |
| \textbf{Intrinsic discrete and continuous graph Laplace operators | definition | definition 2.3 | arxiv |
| \textbf{Intrinsic operator identifies the Riemannian metric (for fixed bandwidth and positive density | statement | theorem 3.1 | arxiv |
| \textbf{Extrinsic integral operator | definition | definition 2.6 | arxiv |
| \textbf{Intrinsic forward map | definition | definition 2.7 | arxiv |
| \textbf{Consistent recovery of the Riemannian metric and sampling density from fixed-bandwidth graph Laplace operators | statement | theorem 1.1 | arxiv |
| \textbf{Intrinsic integral operator | definition | definition 2.5 | arxiv |
| \textbf{Unnormalized discrete graph Laplace operator | definition | definition 2.1 | arxiv |
| \textbf{Exact and asymptotic minimum-distance estimators w.r.t. the weak metric | definition | definition 2.10 | arxiv |
| \textbf{Fixed-bandwidth empirical graph Laplacian converges to the population graph Laplacian in weak metric | statement | lemma 5.1 | arxiv |
| \textbf{Intrinsic operator identifies the pair of Riemannian metric and density (for fixed bandwidth | statement | theorem 3.3 | arxiv |
| \textbf{Topological embedding of the extrinsic forward map at fixed bandwidth | statement | theorem 4.3 | arxiv |
| \textbf{Approximate minimum-distance consistency | statement | proposition 5.2 | arxiv |
| \textbf{Extrinsic operator identifies the sampling measure $m=p\,\mu_g$ | statement | theorem 3.4 | arxiv |
| VR2J9VJD2R | statement | proposition 2.12 | arxiv |
| \textbf{Intrinsic operator identifies the density up to almost everywhere equality (for fixed bandwidth and $C^2$ Riemannian metric | statement | theorem 3.2 | arxiv |
| \textbf{Explicit counterexample on the torus $\mathbb{T}^2$ | example | example B.5 | arxiv |
| \textbf{Rigid-motion equivalence of embeddings | definition | definition 4.2 | arxiv |
