A thorough understanding of the topological classifications of non-Hermitian energy bands is essential for advancing non-Hermitian band theory and its applications. As evidenced in various disciplines of physics, including optics, electronics and acoustics, the process of braiding plays a crucial role in the classification of non-Hermitian bands that manifest topological characteristics. Here we demonstrate topological braiding of both reflectionless states and resonant states in non-Hermitian magnons, unveiling a reversal in their braiding handedness. Furthermore, we constitute parity–time symmetric reflectionless scattering modes, along with their degenerate exceptional points. Our results not only underscore the importance of braided scattering states, but also establish magnonics as a versatile platform for exploring non-Hermitian band theory and developing magnon-based applications, including topological energy transfer, tunable absorbers and logic circuits.

透彻理解非厄米特能带的拓扑分类对于推进非厄米特能带理论及其应用至关重要。正如物理学的各个学科（包括光学、电子学和声学）所证明的那样，编织过程在表现出拓扑特征的非厄米特带的分类中起着至关重要的作用。在这里，我们演示了非厄米特磁振子中无反射态和谐振态的拓扑编织，揭示了它们的编织旋向的反转。此外，我们构建了奇偶性-时间对称反射无散射模式，以及它们的退化异常点。我们的结果不仅强调了编织散射态的重要性，而且还将磁振子确立为探索非厄米特能带理论和开发基于磁振子的应用（包括拓扑能量转移、可调谐吸收器和逻辑电路）的多功能平台。