The Mediant Hydra v6.0 : A Universal Diophantine Hunter

This dataset presents the complete hunting table, traceable iteration histories (CSV), and audited source code of the Mediant Hydra v6.0, a hierarchical greedy algorithm for rational approximation of real numbers. The Hydra combines stochastic three-headed gradient descent, local Stern–Brocot mediant surgery, parametric necromancy of past approximations, and signature-based convergent injection. Eleven constants were hunted: π, e, √2, ln 2, ζ(3), γ, G (Catalan), K₀ (Khinchin), B₂ (Brun), λ (Liouville), and MRB. All fractions are irreducible, all errors independently recalculated, all traces sealed with SHA-3-512.