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Sequences of certain finite graphs, antitrees, are constructed along whichthe Anderson model shows GOE statistics, i.e. a re-scaled eigenvalue processconverges to the ${\rm Sine}_1$ process. The Anderson model on the graph is arandom matrix being the sum of the adjacency matrix and a random diagonalmatrix with independent identically distributed entries along the diagonal. Thestrength of the randomness stays fixed, there is no re-scaling with matrixsize. These considered random matrices giving GOE statistics can also be viewedas random Schr\"odinger operators $\mathcal{P}\Delta+\mathcal{V}$ on thinfinite boxes in $\mathbb{Z}^3$ where the Laplacian $\Delta$ is deformed by aprojection $\mathcal{P}$ commuting with $\Delta$.

GOE statistics for Anderson models on antitrees and thin boxes in $\mathbb{Z}^3$ with deformed Laplacian