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We give unique recovery guarantees for matrices of bounded rank that have undergone permutations of their entries. We even do this for a more general matrix structure that we call ladder matrices. We use methods and results of commutative algebra and algebraic geometry, for which we include a preparation as needed for a general audience.arXiv:2207.10864v1 fatcat:jmkw4gg5nzgcpdcoih6yjyhvpe