Thakur's linear independence conjecture for function-field multiple zeta values

Let $K=\mathbb{F}_q(t)$ be a rational function field, and let $\zeta(\mathbf{s})$ denote the multiple zeta values at positive-integer tuples $\mathbf{s}$. Thakur's linear independence conjecture. The values $\zeta(\mathbf{s})$ at positive integers are linearly independent over $\mathbb{F}_q$. This is the conjecture attributed to Thakur for classical function-field multiple zeta values; the paper contrasts it with relations found for $v$-adic multiple zeta values.