\input zb-basic \input zb-ioport \iteman{io-port 04011953} \itemau{Hare, E.O.; Hedetniemi, S.T.} \itemti{The (parent) certificate: A canonical data structure for trees.} \itemso{Combinatorics, graph theory and computing, Proc. 16th Southeast. Conf., Boca Raton/Fla. 1985, Congr. Numerantium 48, 153-170 (1985).} \itemab [For the entire collection see Zbl 0619.00006.] A rooted alias is a canonical representation of a rooted tree. The (parent) certificate of a tree is the lexicographically smallest of all of its rooted aliases. Properties of rooted aliases and the certificate of a tree are examined and an algorithm is presented for constructing the certificate of an arbitrary tree. \itemrv{~} \itemcc{} \itemut{rooted alias; rooted tree; certificate of a tree} \itemli{} \end