A set of new plateaux transitions of multi-leg spin pump has been found and characterized topologically. The model is constructed by introducing staircase clusters. Topological numbers of the bulk and edge states of finite size systems are consistently discussed with clear numerical demonstration. Have a look at our paper, “Topological pump and its plateau transitions of an 𝑁-leg spin ladder” by Kota Yamamoto, Yoshihito Kuno, Tomonari Mizoguchi, Kazuki Sone, and Yasuhiro Hatsugai, which is accepted for publication in Phys. Rev. B – Accepted 4 December, 2025. See also arXiv:2505.01153.