NS has been supported by a Swansea University Research Excellence Scholarship (SURES). JG was supported by EPSRC grant EP/R018472/1. BL received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme under grant agreement No 813942. The work of BL was further supported in part by the UKRI Science and Technology Facilities Council (STFC) Consolidated Grant ST/T000813/1, by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Foundation Research Fellowship RF-020-461\9. Numerical simulations have been performed on the Swansea SUNBIRD system. This system is part of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government.

This release contains all data used to prepare the publication Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology. Included are: The raw log output from the simulations and computed persistence images for the analysis in Section IV.B of the paper in 'raw_data.zip'. The values of the action and Polyakov loop from the above logs, along with the persistence images restructured into netCDF4 format for convenience, in the files 'Nt=*_Ns=*_pis_actions_polyakovs.nc'. The values of the observable m_2 (as defined in the paper) for configurations for the twisted boundary conditions analysis in netCDF4 format in 'Nt=4_Ns=12_16_20_m2.nc'. The example persistence diagrams used in the paper in netCDF4 format in 'Nt=4_Ns=12_example_pds.nc'.