2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225401The four loop universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured. In this paper, we prove that it obeys a generalized Gribov-Lipatov reciprocity, previously known to hold at the three loop level.15 pages, v3: Appendix A.3 added, main body shortened, version accepted in JHEPHigh Energy Physics - Theorytext