Irreducibility conjecture for random Rademacher polynomials

Let $g_{\pm1,d}(x)=x^d+a_{d-1}x^{d-1}+\dots+a_0$ be a monic polynomial of positive degree $d$, where each $a_i$ is independently $+1$ or $-1$ with probability $\frac{1}{2}$. Rademacher irreducibility conjecture. The probability that $g_{\pm1,d}(x)$ is reducible goes to $0$ as $d$ goes to infinity. The source presents this as the analogue, for coefficients in $\{+1,-1\}$, of the Odlyzko–Poonen conjecture; the preceding results give lower bounds for odd degrees from linear factors.