An aqueous pigment dispersion comprising a colorant and a polyurethane dispersant, wherein said polyurethane dispersant is comprised of a polymer with: (a) an aqueous dispersing moiety, wherein said dispersing moiety is pendant to the polymer backbone and terminal to the polymer chain, and said dispersing moiety is selected from the group consisting of -COOM, -OPO 3 M 2, -PO 3 M 2, -SO 3 M, -(CH 2 CHR 5 O) n -CH 3, and mixtures thereof; and (b) a cross-linkable moiety that is cross-linked with a cross-linking agent, wherein said cross-linkable moiety is pendent to the polymer backbone; wherein the polyurethane dispersant comprises at least one compound of the general structure of Formula I: wherein each X is independently -OPO 3 M 2, -PO 3 M 2, -SO 3 M or -(CH 2 CHR 5 O) n -CH 3; each M is independently Na, K, Li, H or N(R 6) 4; each Y is independently O, S or NR 4; each W is independently N, O or S; each R 1 is independently C 1 -C 20 alkylene, C 3 -C 20 substituted alkylene, C 6 -C 40 arylene or C 9 -C 40 substituted arylene; R 2 is comprised of difunctional isocyanate reactants Z 1 and Z 2, and a hydrophobic polyol Z 3, wherein there is at least one Z 1, at least one Z 2 and at least one Z 3; each R 3 is independently C 1 -C 20 alkyl, C 3 -C 20 substituted alkyl or a straight bond, provided that when R 3 is a straight bond, X is -(CH 2 CHR 5 O) n -CH 3; each R 4 is independently -R 3 -X, H, C 1 -C 20 alkyl or C 3 -C 20 substituted alkyl; each R 5 is independently H or C 1 -C 12 alkyl; each R 6 is independently H, C 1 -C 20 alkyl, C 7 -C 20 aralkyl or C 6 -C 40 aryl; n is an integer from 2 to 30; Z 1 is a difunctional isocyanate reactant substituted with an aqueous dispersing moiety; Z 2 is a difunctional isocyanate reactant substituted with one or more cross-linkable moieties; and Z 3 is a hydrophobic polyol with MW less than 3000. (a) an aqueous dispersing moiety, wherein said dispersing moiety is pendant to the polymer backbone and terminal to the polymer chain, and said dispersing moiety is selected from the group consisting of -COOM, -OPO 3 M 2, -PO 3 M 2, -SO 3 M, -(CH 2 CHR 5 O) n -CH 3, and mixtures thereof; and (b) a cross-linkable moiety that is cross-linked with a cross-linking agent, wherein said cross-linkable moiety is pendent to the polymer backbone; wherein each X is independently -OPO 3 M 2, -PO 3 M 2, -SO 3 M or -(CH 2 CHR 5 O) n -CH 3; each M is independently Na, K, Li, H or N(R 6) 4; each Y is independently O, S or NR 4; each W is independently N, O or S; each R 1 is independently C 1 -C 20 alkylene, C 3 -C 20 substituted alkylene, C 6 -C 40 arylene or C 9 -C 40 substituted arylene; R 2 is comprised of difunctional isocyanate reactants Z 1 and Z 2, and a hydrophobic polyol Z 3, wherein there is at least one Z 1, at least one Z 2 and at least one Z 3; each R 3 is independently C 1 -C 20 alkyl, C 3 -C 20 substituted alkyl or a straight bond, provided that when R 3 is a straight bond, X is -(CH 2 CHR 5 O) n -CH 3; each R 4 is independently -R 3 -X, H, C 1 -C 20 alkyl or C 3 -C 20 substituted alkyl; each R 5 is independently H or C 1 -C 12 alkyl; each R 6 is independently H, C 1 -C 20 alkyl, C 7 -C 20 aralkyl or C 6 -C 40 aryl; n is an integer from 2 to 30; Z 1 is a difunctional isocyanate reactant substituted with an aqueous dispersing moiety; Z 2 is a difunctional isocyanate reactant substituted with one or more cross-linkable moieties; and Z 3 is a hydrophobic polyol with MW less than 3000.