  The idea that the nuclear matter may posses long range topological order is
supported by the theory and the lattice calculations. At high temperature this
order is instrumental in producing anomalous phenomena such as the Chiral
Magnetic Effect. In the cold nuclear matter it affects the gluon distribution
in the nuclear wave function at low $x$. The effect of the topological order is
encapsulated in the unintegrated gluon distribution functions which are
proportional, at the leading order, to the square of the gluon propagator at
finite topological charge density. It is argued that the Electron Ion Collider
is well suited to study the topological order of the cold nuclear matter.
