  A non-trivial consequence of the super-correlator/super-amplitude duality is
that the integrand of the four-point correlation function of stress-tensor
multiplets in planar N=4 super Yang-Mills contains a certain combination of
n-point amplitude integrands for any n. This combination is the sum of products
of all helicity super-amplitudes with their corresponding helicity conjugates.
The four-point correlator itself is described by a single scalar function whose
loop level integrands possess a hidden permutation symmetry facilitating its
computation up to ten loops. We discover that assuming Yangian symmetry and an
appropriate basis of planar dual conformal integrands it is possible to
disentangle the contributions from the individual amplitudes from this
combination. We test this up to seven points and up to two loops. This suggests
that any scattering amplitude for any n, with any helicity structure and at any
loop order may be extractable from the four-point correlator.
