Distributed applications are difficult to program reliably and securely. Dependently typed functional languages promise to prevent broad classes of errors and vulnerabilities, and to enable program verification to proceed side-by-side with development. However, as recursion, effects, and rich libraries are added, using types to reason about programs, specifications and proofs becomes challenging. We present F, a full-fledged design and implementation of a new dependently typed language for secure distributed programming. Unlike prior languages, F provides arbitrary recursion while maintaining a logically consistent core; it enables modular reasoning about state and other effects using affine types; and it supports proofs of refinement properties using a mixture of cryptographic evidence and logical proof terms. The key mechanism is a new kind system that tracks several sub-languages within F and controls their interaction. F subsumes two previous languages, F7 and Fine. We prove type soundness (with proofs partially mechanized in Coq) and logical consistency for F.