{
  "id": "2610.19220",
  "title": "Riding the Fixed-Point Curve: Image Classification in the Continuous Thought Machine",
  "authors": "Thomas Hannagan",
  "first_public": "2026-10-13",
  "added_at": "2026-10-18",
  "venue": "arXiv",
  "arxiv": "2610.19220",
  "paper_url": "https://arxiv.org/abs/2610.19220",
  "summary": "Analyzes the Continuous Thought Machine's repeated updates during image classification. Finds that its hidden states follow moving fixed points and that much of its attention schedule is shared across images.",
  "lens": [
    "analysis",
    "recurrent"
  ],
  "representation": [
    "hidden-state"
  ],
  "computation": [
    "recurrent"
  ],
  "training": [
    "analysis-only"
  ],
  "questions": [
    "interpretability",
    "theory",
    "limitations"
  ],
  "evidence": [
    "formal",
    "empirical",
    "mechanistic"
  ],
  "modality": [
    "vision"
  ],
  "provenance": "Primary-source literature search, 2026-10-18",
  "author_names": [
    "Thomas Hannagan"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2610.19220/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2610-19220",
  "citation_date": "2026-10-13",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2610.19220/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2610.19220/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2610.19220/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2610.19220/citation.csl.json"
}