A 6-year-old Harlem boy covered in bruises died after being rushed to the hospital by his mother, police said Tuesday. The child’s mother, Geraldine Perkins, had been the subject of five child abuse allegations stretching back to 2010, sources said. But she told detectives her muscle-bound boyfriend, Rysheim Smith, beat little Zymere Perkins with a broken broomstick for defecating in an ice bucket, sources said. Cops got a call from Zymere’s apartment on W. 135th St. near Broadway about 2:20 p.m. Monday saying the boy was unconscious, officials said.(nydailynews.com)…[+]