Rediscussion of eclipsing binaries. Paper XXIV. The delta Scuti pulsator V596 Pup (formerly known as VV Pyx)

V596 Pup is a detached eclipsing binary containing two A1 V stars in a 4.596 d period orbit with a small eccentricity and apsidal motion, previously designated as VV Pyxidis. We use new light curves from the Transiting Exoplanet Survey Satellite (TESS) and published radial velocities to determine the physical properties of the component stars. We find masses of 2.098 +/- 0.021 Msun and 2.091 +/- 0.018 Msun, and radii of 2.179 +/- 0.008 Rsun and 2.139 +/- 0.007 Rsun. The measured distance to the system is affected by the light from a nearby companion star; we obtain 178.4 +/- 2.5 pc. The properties of the system are best matched by theoretical predictions for a subsolar metallicity of Z = 0.010 and an age of 570 Myr. We measure seven significant pulsation frequencies from the light curve, six of which are consistent with delta Scuti pulsations and one of which is likely of slowly-pulsating B-star type.