The thermo-physical properties presented in this paper for ThN can be reproduced using ShengBTE software and the command:

srun ShengBTE 2 > BTE.err > BTE.out

with the following files included:

CONTROL

espresso.ifc2

FORCE_CONSTANTS_3RD

Note that all properties of ThN are evaluated correctly while the lattice thermal conductivity is accidentally reduced by disorientation between the defined vectors for primitive cell in CONTROL file and used in calculations of fc2. Additionally nine runs for altogether of 108 displacements were calculated using compromised number of symmetry operation due to the simultaneous multiple runs in array. These accidently introduced modifications lead to the low lattice assisted conductivity, which is in agreement with experiment while the corrected calculations over predicts thermal conductivity by order of magnitude, which may be probably measured for a pure single crystals of ThN.