  We investigate the quantum numbers of the pentaquark states
$\textrm{P}_{\textrm{c}}^{+}$, which are composed of four (three flavors)
quarks and an antiquark, by analyzing their inherent nodal structure in this
paper. Assuming that the four quarks form a tetrahedron or a square, and the
antiquark locates at the center of the four quark cluster, we determine the
nodeless structure of the states with orbital angular moment $L \leq 3$, and in
turn, the accessible low-lying states. Since the inherent nodal structure
depends only on the inherent geometric symmetry, we propose the quantum numbers
$J^{P}$ of the low-lying pentaquark states $\textrm{P}_{c}^{+}$ may be
${\frac{3}{2}}^{-}$, ${\frac{5}{2}}^{-} $, ${\frac{3}{2}}^{+}$,
${\frac{5}{2}}^{+} $, independent of dynamical models.
