Mustată–Takagi–Watanabe conjecture on equality of log canonical and F-pure thresholds

Let $f\in\mathbb{Q}[x_1,\ldots,x_n]$, and for each prime number $p$ let $f_p\in\mathbb{F}_p[x_1,\ldots,x_n]$ be the polynomial obtained by reducing each coefficient of $f$ modulo $p$. Let ${\bf lct}_0(f)$ denote the log canonical threshold of $f$ at the origin, and let ${\bf c}^{\mathfrak{m}}(f_p)$ denote the $F$-pure threshold of $f_p$ with respect to the maximal ideal. Mustată–Takagi–Watanabe conjecture. There exist infinitely many prime numbers $p$ such that

$${\bf lct}_0(f)={\bf c}^{\mathfrak{m}}(f_p).$$

Mustată, Takagi, and Watanabe proved that ${\bf c}^{\mathfrak{m}}(f_p)$ converges to ${\bf lct}_0(f)$ as $p$ tends to infinity. The conjecture asks whether this limiting equality is attained for infinitely many primes.