A comparison of the sample of priors from previous works with the current method. (Left) The most generic nondiffused fractal EoS prior compared to priors of T. Gorda et al. (2021), D. Mroczek et al. (2024), and H. Koehn et al. (2025). The dashed lines correspond to the boundary of the allowed region when varying the pQCD range of X ∈ [1/2, 2] as in T. Gorda et al. (2023b). The thick violet line corresponds to the 2σ credible interval for the fractal prior. (Right) The diffused GP bridge compared to other priors that include pQCD constraints. The thick lines correspond to the 2σ credible interval for the diffused prior.