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Atmospheric profiling is a requirement for controlling wide-field AdaptiveOptics (AO) instruments, analyzing the AO performance with respect to theobserving conditions and predicting the Point Spread Function (PSF) spatialvariations. We present PEPITO, a new concept for profiling atmosphericturbulence from {\em post~facto} tip-tilt (TT) corrected short-exposure images.PEPITO utilizes the anisokinetism effect in the images between several starsseparated from a reference star, and then produces the profile estimation usinga model-fitting methodology, by fitting to the long exposure TT-corrected PSF.PEPITO has a high sensitivity to both $C_n^2(h)$ and $L_0(h)$ by relying on thefull telescope aperture and a large field of view. It then obtains a highvertical resolution (1\,m-400\,m) configurable by the camera pixel scale,taking advantage of fast statistical convergence (of order of tens of seconds).With only a short exposure-capable large format detector and a numericalcomplexity independent of the telescope diameter, PEPITO perfectly suitsaccurate profiling for night optical turbulence site characterization oradaptive optics instruments operations. We demonstrate, in simulation, that the$C_n^2(h)$ and $L_0(h)$ can be estimated to better than 1\% accuracy, fromfitted PSFs of magnitude V=11 on a D=0.5\,m telescope with a 10 arcmin field ofview.

PEPITO: atmospheric Profiling from short-Exposure focalPlane Images in seeing-limiTed mOde