source	role	claim used
Cheng 2026 arXiv:2608.20604	Target and physical interpretation	Equations II.1--II.3; general proof explicitly absent; known modular, symmetric, and Abelian cases
Yadav--Shimizu 2026 arXiv:2608.19153	Promising new tool	Transparent subalgebra, adjoint-algebra local modules, and relative-center factorization
Davydov--Muger--Nikshych--Ostrik 2010/2011	Formal background	Connected etale algebras, local modules, dimension, and Witt control
Greenough 2011 arXiv:1102.3411	Formal background	Relative tensor products and relative centers
Mulevicius 2022/2024 arXiv:2206.02611	Frontier calibration	Condensation inversion via generalized orbifold data; not the specific canonical identity
Kong 2013/2014 arXiv:1307.8244	Physical-mathematical dictionary	Anyon condensation as local modules