Knots with arbitrarily high distance bridge decompositions
  We show that for any given closed orientable 3-manifold M with a Heegaard surface of genus g, any positive integers b and n, there exists a knot K in M which admits a (g,b)-bridge splitting of distance greater than n with respect to the Heegaard surface except for (g,b) = (0,1), (0,2). 
Kazuhiro Ichihara and Toshio Saito
math.GT