A pulse sequence for T1 relaxation time mapping which enables high-resolution and multi-slice imaging in short acquisition times, is presented. The sequence combines fast, robust acquisitions based on SPatiotemporal ENcoding (SPEN), with an accelerated sampling of the T1 inversion curve via slice shuffling. The experiment allows for T1 quantifications in challenging regions subject to field inhomogeneities. In phantoms it provides reliable T1 maps that agree with standard measurements; in in vivo studies of murine brain and kidney models, it provides fewer distortions than comparable EPI-based counterparts.