Reproducibility Data and Code for Explicit-Formula-Tied Spectral Recovery of Riemann-Zeta and Dirichlet L-Function Zeros from Finite Prime Data

This record contains the reproducibility data, source code, computational results, figures, and LaTeX materials accompanying the manuscript “Explicit-Formula-Tied Spectral Recovery of Riemann-Zeta and Dirichlet L-Function Zeros from Finite Prime Data.” The study reformulates the explicit formula for the Chebyshev function as a structured line-spectral inverse problem. Under the critical-line assumption, conjugate nontrivial zeros give rise to sinusoidal components after logarithmic reparameterization and normalization, with amplitudes and phases analytically tied to their frequencies. The archive includes the numerical experiments used to evaluate frequency recovery, automatic model selection, finite-window interference, full-Nyquist reconstruction, Dirichlet L-function generalization, cross-character negative controls, target-decoy false-discovery diagnostics, and selection-aware statistical inference. It also contains a Google Colab-compatible implementation, regression tests, CSV/JSON result files, figures, LaTeX sources, provenance tables linking manuscript claims to computational artifacts, and SHA-256 checksums. The reported computations are experimental and conditional and do not constitute a proof of the Riemann hypothesis or the generalized Riemann hypothesis.