Classification of unramified truly alternating multiple mixed values

Prove or disprove that every unramified truly alternating multiple mixed value belongs to one of the following families: the alternating double t-values in Theorem 1, the alternating triple t-values in Theorem 2, the alternating multiple T-values in Corollary 4.1, or the three special families in Theorem 5.1.

Background

The paper applies Brown–Glanois motivic descent theory to identify several families of unramified alternating multiple mixed values. These include an alternating double t-value family, an alternating triple t-value family, a family of alternating multiple T-values, and three additional families obtained using duality relations.

The authors formulate a completeness conjecture asserting that these known families exhaust all unramified truly alternating multiple mixed values, meaning alternating multiple mixed values that are not ordinary multiple mixed values. Establishing this conjecture would provide a full classification of unramified elements in the class studied by the paper.