  We study the cusped Hitchin component consisting of (conjugacy classes of)
cusped Hitchin representations of a torsion-free geometrically finite Fuchsian
group into PSL(d,R). We produce pressure metrics associated to the first
fundamental weight and the first simple root. When $d=3$ we produce a pressure
metric associated to the Hilbert length, which is new even when the Fuchsian
group is cocompact.
