2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111658It was argued by Schramm and Smirnov that the critical site percolation exploration path on the triangular lattice converges in distribution to the trace of chordal SLE(6). We provide here a detailed proof, which relies on Smirnov's theorem that crossing probabilities have a conformally invariant scaling limit (given by Cardy's formula). The version of convergence to SLE(6) that we prove suffices for the Smirnov-Werner derivation of certain critical percolation crossing exponents and for our analysis of the critical percolation full scaling limit as a process of continuum nonsimple loops.45 pages, 14 figures; revised version following the comments of a refereeProbabilityMathematical Physics82B27, 60K35, 82B43, 60D05, 30C35text