A Serre presentation for the $\imath$quantum covering groups

Let $(\mathbf{U}, \mathbf{U}^\imath)$ be a quasi-split quantum symmetric pair of Kac-Moody type. The $\imath$quantum group $\mathbf{U}^\imath$ admits a Serre presentation featuring the $\imath$-Serre relations in terms of $\imath$-divided powers. Generalizing this result, we give a Serre presentation $\mathbf{U}^\imath_\pi$ of quantum symmetric pairs $(\mathbf{U}_\pi, \mathbf{U}^\imath_\pi)$ for quantum covering algebras $\mathbf{U}_\pi$, which have an additional parameter $\pi$ that specializes to the Lusztig quantum group when $\pi = 1$ and quantum supergroups of anisotropic type when $\pi = -1$. We give a Serre presentation for $\mathbf{U}^\imath_\pi$, introducing the $\imath^\pi$-Serre relations and $\imath^\pi$-divided powers.