Detecting parity violation on cosmological scales would provide a striking clue to new physics. Large-scale structure offers the raw statistical power to make such tests. However, for scalar observables, like galaxy clustering, the leading parity-sensitive observable is the trispectrum, whose high dimensionality makes the measurement and noise estimation challenging. I will discuss two late-time parity-odd kurto spectra that compress the parity-odd scalar trispectrum into one-dimensional, power spectrum like observables. I will then describe application of the estimators for a specific parity-odd primordial template on perturbative dark matter (DM) field, and on DM and halo fields in full N-body Quijote simulations and discuss the sources of noise in these measurments and how it can be reduced. I will also discuss the detectability of the signal in simulations and a Eulcid-like spectroscopic survey.