{ "source": "manuscript/VELORYN_Manuscript.tex", "sections": [ { "section_number_in_source": null, "title": "Abstract", "label": null, "source_line": 77 }, { "section_number_in_source": null, "title": "What this release changes", "label": null, "source_line": 110 }, { "section_number_in_source": 1, "title": "Objects, clocks and the precise hypotheses", "label": "sec:model", "source_line": 135 }, { "section_number_in_source": 2, "title": "The boundary-kernel theorem", "label": "sec:kernel", "source_line": 204 }, { "section_number_in_source": 3, "title": "Existence of the complete entropy spectrum", "label": "sec:spectrum", "source_line": 284 }, { "section_number_in_source": 4, "title": "Shannon order and the exact mixture transition", "label": "sec:shannon", "source_line": 408 }, { "section_number_in_source": 5, "title": "Arithmetic geometry: why the factor loss is polynomial", "label": "sec:geometry", "source_line": 541 }, { "section_number_in_source": 6, "title": "Exact replica computation without endpoint enumeration", "label": "sec:algorithm", "source_line": 697 }, { "section_number_in_source": 7, "title": "Certified spectral and Shannon intervals", "label": "sec:numerical", "source_line": 847 }, { "section_number_in_source": 8, "title": "Geometric meaning, with the dimension claim kept precise", "label": "sec:dimension", "source_line": 938 }, { "section_number_in_source": 9, "title": "Reproducible finite evidence", "label": "sec:evidence", "source_line": 1011 }, { "section_number_in_source": 10, "title": "Novelty boundaries and the unresolved target", "label": "sec:scope", "source_line": 1065 }, { "section_number_in_source": 11, "title": "Standalone use and release record", "label": "sec:release", "source_line": 1144 }, { "section_number_in_source": 12, "title": "Elementary concentration and support-growth details", "label": null, "source_line": 1176 }, { "section_number_in_source": 13, "title": "Notation index", "label": null, "source_line": 1224 } ], "note": "Appendix numbering in the rendered PDF may differ from this sequential source index." }