Let $X=\mathbb{P}^{0}_{K}=\operatorname{Spec}(K)$. A line bundle $L$ on $X$ is necessarily trivial, that is, $L\simeq K$. Consider the model $({\mathcal{X}},{\mathcal{L}},e)$ of $(X,L)$ given by ${\mathcal{X}}=\operatorname{Spec}(K^{\circ})$, $e\geq 1$, and ${\mathcal{L}}$ a free $K^{\circ}$-submodule of $L^{\otimes e}$ of rank one. Let $v\in L^{\otimes e}$ be a basis of ${\mathcal{L}}$. For a section $s$ of $L$ we can write $s^{\otimes e}=\alpha v$ with $\alpha\in K$. Hence,

$$\|s\|=|\alpha|^{1/e}.$$

All algebraic metrics on $L^{{\text{\rm an}}}$ can be obtained in this way.