A jump arm assembly for a tilling machine includes a jump arm and a disc hub assembly. The jump arm has a first end coupled to a frame unit of the tilling machine and a second end opposite the first end. The disc hub assembly includes a an arm end configured to be fixedly secured to the second end of the jump arm, and an opposing disc end. A first plane defined by the arm end of the disc hub assembly is arranged in non-parallel relation with respect to a second plane defined by the disc end of the disc hub assembly.