  By working with the covariant phase space formalism, we have shown that not
only can the Hamiltonian conjugate to a Killing vector field {\xi} be expressed
as the sum of the associated Noether charge and {\xi} contracted with the
Hilbert action boundary term for F(Riemann) gravity, but also be written as its
contraction with another {\xi} independent tensor field. With this, we have
proven the equivalence of Noether charge and Hilbert action boundary term
formulae for the stationary black hole entropy in F(Riemann) gravity, which is
further substantiated by our explicit computation using both formulae.
