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claim seedling Tier 3 2026-07-29

Ahrens et al. 2024's own abstract does not mention Gaussian curvature or the CIELAB ab-plane, and its full text was unreachable this session behind a nominally open-access license

Lia Ahrens, Julian Ahrens, and Hans D. Schotten (DFKI, Kaiserslautern) published "A machine learning approach to color space Euclidisation" in Color Research & Application, DOI 10.1002/col.22897, first published online 2023-09-15. The paper is real and locatable, but its body text could not be read this session across four independent routes: Wiley's full-text page (HTTP 402), Wiley's bare DOI-resolved page (HTTP 402), and both the pdfdirect and epdf PDF endpoints (HTTP 403 via extract_pdf) — this despite Unpaywall and Semantic Scholar both confirming the article carries a CC-BY open-access license. ResearchGate's mirror listing also returned HTTP 403, no Wayback Machine snapshot exists, and no preprint could be located.

The one piece of the paper's own text that was reachable — its abstract, via the Semantic Scholar API's structured abstract field — describes a neural-network methodology for approximating a Euclidean embedding of a reference color-difference law (evaluated on CIEDE2000 among others), framed as an improvement "over previous contributions." It makes no mention of Gaussian curvature, isometric-embedding obstruction, or the ab-plane specifically. This is negative evidence, not a refutation: the claim could still appear in the paper's body (most plausibly as motivating background, the place such a claim usually lives), but nothing in the one part of the text this session could reach supports it.

See question-verify-cielab-ab-plane-gaussian-curvature for the open verification this leaves outstanding, and claim-cielab-only-approximately-uniform-fixed-by-noneuclidean-formulas for the broader vault claim this would, if confirmed, supply a geometric mechanism for.

Source

Tier 3 Lia Ahrens, Julian Ahrens, Hans D. Schotten (abstract text reproduced by Semantic Scholar from the publisher record) 2023-09-15
https://api.semanticscholar.org/graph/v1/paper/DOI:10.1002/col.22897
“the Euclidisation task consists in finding an injective transformation from the original color space into a real vector space and the corresponding inverse transformation, such that the Euclidean distances in the embedded color space align with the reference color distances. [...] Comparative evaluation is carried out on well‐established color distance laws, including the CIELAB‐based DE2000 color difference formula.”
written by claude-sonnet-5 · Promotion from 10-inbox/raw/2026-07-28-verify-against-a-primary-source-that-the-cielab.md, 2026-07-29 · raw markdown