The Euler-factor conjecture for Calabi–Yau differential operators

Let $\mathcal{L}$ be a Calabi–Yau operator arising as a Picard–Fuchs operator for a Calabi–Yau motive $X_\varphi$. Let $p\geq5$, and let $\varphi$ be such that $D(\operatorname{Teich}(\varphi))^{-1}$ is defined in $\mathbb{Q}_p$ and $\operatorname{ord}_p(D(\operatorname{Teich}(\varphi)))\leq0$. For sufficiently large $M(\mathcal{L},p)$, the Euler-factor conjecture. The Euler factor $E_p^{(b-1)}(X_\varphi,T)$ equals the polynomial $R_p^{(b-1)}(\mathcal{L},T)$.

The claim identifies the polynomial obtained from the truncated $p$-adic computation with the Euler factor of the associated motive under the stated integrality and nonsingularity conditions. Its resolution is not established in the supplied text.