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Abstract The statefinder diagnostic is useful to discriminate dark energy models. In this paper, under the minimum assumption of a spatially flat Friedmann–Lemaître–Robertson–Walker Universe, we reconstruct the statefinder pair $$\{r(z),s(z)\}$$ { r ( z ) , s ( z ) } in addition to the deceleration parameter q(z) via the Gaussian process from the cosmic observational data points which include the recently released Pantheon+ SN Ia samples and the observational Hubble data H(z). The reconstructed evolution trajectories are shown on the $$r-q$$ r - q , $$r-s$$ r - s planes. The reconstructed q(z) is consistent with previous studies. Meanwhile, a novel quantity named suitability is introduced on the $$r-q$$ r - q , $$r-s$$ r - s planes to assess the validation of a dark energy model.