Depth-six classification conjecture for unramified multiple mixed values

Let M(\bs;ε)M(\bs;\varepsilon) denote a multiple mixed value and T(\bs)T(\bs) a multiple t-value. Classify indices as wide, slender, or narrow according to whether their largest component is at least 44, equal to 33, or at most 22. Depth-six-and-higher MMV classification conjecture. Suppose that the depth is at least 66. Then all unramified wide MMVs are MZVs or MtVs, so their parity patterns are (1,,1)(1,\dots,1) or (1,,1)(-1,\dots,-1). All unramified slender MMVs are MZVs, MtVs, or the MTVs given in the width classification conjecture. All unramified narrow MMVs are MZVs, MtVs, the MTVs given in that conjecture, or elements in the three unramified families given by the cited theorems. This conjecture extends the proposed depth-four and depth-five classifications to all greater depths.

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Primary source

Ce Xu and Jianqiang Zhao, “Unramified Motivic Multiple Mixed Values”, arXiv:2607.23455 (2026).

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