Additional funding agencies (Grants): We gratefully acknowledge Polish high-performance computing infrastructure PLGrid (HPC Center: ACK Cyfronet AGH) for providing computer facilities and support within computational grant no. PLG/2025/018503 (JG). This material is partially based upon work supported by the U.S. National Science Foundation under the award PHY-2408988 (PGK). This research was partly conducted while P.G.K. was visiting the Okinawa Institute of Science and Technology (OIST) through the Theoretical Sciences Visiting Program (TSVP) and the Sydney Mathematical Research Institute (SMRI) under an SMRI Visiting Fellowship. This work was also supported by the Simons Foundation [SFI-MPS-SFM-00011048, P.G.K.].

Data sets for the original figures in the article "Collective coordinate descriptions of a kink in a driven-damped $\phi^4$ model." The filename of each .wl file corresponds to the figure number in the published article. The files can be opened using Wolfram Mathematica. The data is stored in the form of a list with descriptions.