NASA Kepler/TESS observations
These are complete original mission PUBLIC products supplied through MAST, not third-party HLSP material. Preserve acknowledgment of NASA, the Kepler and TESS missions, the Science Processing Operations Center, and MAST/STScI. Source product names and SHA256 values are in source-inputs.json. Data use guidance: https://stdatu.stsci.edu/publishing/data-use . Data release and processing versions remain in the original FITS headers.

HD128279 observed modes and MESA models
Christopher J. Lindsay and collaborators, fixed Zenodo record15102877 v1: https://doi.org/10.5281/zenodo.15102877 . The original record API explicitly gives Creative Commons Attribution4.0: https://creativecommons.org/licenses/by/4.0/ . Selected original members are byte-identical, complete and CRC/SHA checked. Their association, selected snapshots and derived scientific outputs are described separately; no full optimization ensemble is supplied. Cite Lindsay et al.2025, Precise Asteroseismic Ages for the Helmi Streams, arXiv2507.01091v1, ApJ989189, DOI10.3847/1538-4357/adeb56.

Kepler mixed-mode references and population catalog
Gang Li, Sebastien Deheuvels and Jerome Ballot, fixed Zenodo record13207485 v2: https://doi.org/10.5281/zenodo.13207485 . The record API explicitly gives CC-BY4.0. Selected KIC3860179 original mode members and the complete catalog are unchanged. Dipole bin_points are approximate seeds. Sentinel/ambiguous auxiliary catalog fields are excluded from fits rather than repaired. Cite Asteroseismic measurement of core and envelope rotation rates for2006red giant branch stars, arXiv2405.12116v1, A&A688A184, DOI10.1051/0004-6361/202449882.

Self-authored scientific materials
The cavity fixtures, stochastic observations, independent reference calculations and new Python code are authored for Sandbox Physics2026. Transformations and conditional scientific assumptions are described in README.md. The code license does not relicense NASA or Zenodo material, their cited publications, or NumPy/SciPy.

New native-structure frequency calculations
The model-grid and model-refined tables are new numerical calculations by Sandbox Physics using GYRE7.2.1 and the eight unchanged CC-BY4 Lindsay structures above. Preserve both the structural-data attribution and the solver citation: Townsend & Teitler2013, GYRE: an open-source stellar oscillation code based on a new Magnus Multiple Shooting scheme, MNRAS4353406, DOI10.1093/mnras/stt1533. Full mode equations, numerical configuration, node identities, raw outputs and actual generation receipts are retained. These calculated tables are supplied under CC-BY4.0 with the original structural-source attribution. They are not the authors'840-track optimization results.

Computational tools
GYRE7.2.1 is GPLv3 software; its complete COPYING file is in tools/GYRE-COPYING. MESA SDK24.7.1 contains separately licensed compiler/numerical-library components, with complete licenses retained in the research record. Tool binary archives and source code are not distributed in this scientific ZIP. tools/GYRE-rebuild.md gives their official pinned sources, hashes, isolation/build commands and the separate actually executed mode-regeneration command. Default reader replay consumes frozen mode tables and does not claim to rerun GYRE.
