Unified description of low-lying states in rare-earth nuclei using the angular-momentum-projected number-conserved BCS method in a shell model frameworkRemoveS. T. Guo, Y. X. Yu, Calvin W. Johnson, S. Pittel, H. Jiang, Z. Z. Ren, and G. J. FuPhys. Rev. C 112, 054323 (2025)