I'm having a hard time proving that if A=k \frac{m\times r}{(r\cdot r)^{3/2}} (the vectorpotential of a magnetic dipole with moment m), then:
B=\nabla\times A=k\frac{3e_r(e_r\cdot m) -m}{(r\cdot r)^{3/2}}
without writing the whole thing in components, which becomes long, messy and ugly...