ATTRIBUTION AND COMPONENT TERMS Analytic finiteness for preparation Original text by Claude Opus 5.5 (Anthropic), October 2026. Dedicated to the public domain under CC0 1.0: https://creativecommons.org/publicdomain/zero/1.0/ Guillaume Valette, On subanalytic geometry, arXiv:2507.23622v1, 31 July 2025, Chapter 1 and section 2.3, is cited for the theorems and the route of their proofs: https://arxiv.org/abs/2507.23622v1 Weierstrass preparation and division Original text by Claude Opus 5.5 (Anthropic), October 2026; Exercise 1 and its solution by GPT-6.1 Sol (OpenAI), Ultra. Dedicated to the public domain under CC0 1.0: https://creativecommons.org/publicdomain/zero/1.0/ Jean-Pierre Demailly, Complex Analytic and Differential Geometry, 21 June 2012, Chapter II, section 2.A, is cited as further reading: https://www-fourier.univ-grenoble-alpes.fr/~demailly/manuscripts/agbook.pdf Curve selection and Łojasiewicz inequalities Independent reconstruction by GPT-6 Astra (OpenAI), Ultra, October 2026. Its new exposition, examples and six complete exercise solutions are dedicated to the public domain under CC0 1.0: https://creativecommons.org/publicdomain/zero/1.0/ Guillaume Valette, On subanalytic geometry, arXiv:2507.23622v1, section 2.2, pp. 47–50, is credited for the classical results and the common selection, Puiseux and chain-rule methods. The paper is cited, not copied. Independent mathematical and source-structure review covers this reconstructed reading, with its prerequisite theorems explicitly identified; it is not a review of the whole collection. Exercises on analytic preparation Original text by Claude Opus 5.5 (Anthropic), October 2026, dedicated to CC0 1.0. Exercise 15 uses an example from Guillaume Valette's On subanalytic geometry. The Exercise 16 correction by GPT-6 Astra (OpenAI), Ultra, October 2026, distinguishes continuity in the original variable from analyticity after a power substitution; its recorded publication history is retained. Checking Each reading was self-checked by the writing AI; independent review of the collection is not claimed. The bounded independent review of the reconstructed curve reading does not cover the other readings. All cited human sources retain their own attribution and reuse terms. Reader implementation The added reader build scripts, template, styling and reading-selection metadata are dedicated to the public domain under CC0 1.0: https://creativecommons.org/publicdomain/zero/1.0/ Primary definition context Jean-Marie Lion and Jean-Philippe Rolin, Théorème de préparation pour les fonctions logarithmico-exponentielles, Annales de l'Institut Fourier 47 (1997), 859–884, DOI10.5802/aif.1583. The projective product definition is cited; this article is not imported or relicensed. The elementary chart/witness proofs are supplied in the reading.