The talk will be about a formalism to obtain the solution of the perturbative multi-loop Baxter equation which encodes the anomalous dimensions of twist-two operators in N=4 SYM. I will sketch how to derive the Baxter function, the solution to the Baxter equation, to four loop order. The solution enjoys a remarkable iterative structure, which might indicate the existence
of an all-loop generating function of twist-two anomalous dimension. Some of the construction rules of this function will be presented.