Reconstructed ptychographic X-ray computed tomography data sets of the dried gel Ni/Al$_{2}$O$_{3}$-dr, Al$_{2}$O$_{3}$-dr samples and the calcined samples Ni/Al$_{2}$O$_{3}$-calc, Al$_{2}$O$_{3}$-calc

Reconstructed ptychographic X-ray computed tomography data sets acquired at Swiss Light Source, Beamline cSAXS (proposal MG24079-1) of the dried gels Al2O3-dr and NiAl2O3-dr and the calcined samples Al2O3-calc and NiAl2O3-calc of the identical particles. Detailed information regarding sample preparation and experimental conditions are available in the respective publication and electronic supplementary information.