Fried's genus-one Birkhoff section conjecture for Anosov flows

Let $\phi$ be an Anosov flow whose stable and unstable foliations are orientable. A Birkhoff section is a compact surface transverse to the flow in its interior, with boundary consisting of periodic orbits, such that every orbit not contained in the boundary meets its interior in forward and backward time. Fried's conjecture. Every Anosov flow with orientable stable and unstable foliations admits a genus-one Birkhoff section. Fried's conjecture predicts a particularly simple global cross-section-like object for this class of flows. The source describes it as well known but does not provide a resolution here.