{
  "id": 9469576,
  "title": "Order-Invariant Answers, Order-Sensitive Representations in Mathematical Reasoning",
  "url": "https://urgent.news/2026/09/23/order-invariant-answers-order-sensitive-representations-in",
  "topic": "ai",
  "section": "AI",
  "published": "2026-09-23T17:40:57.000Z",
  "source": {
    "name": "arXiv cs.AI",
    "slug": "arxiv-cs-ai",
    "url": "https://arxiv.org/abs/2609.28442v1"
  },
  "original_language": "en",
  "account": null,
  "summary": "Reordering a set of mathematical rules without changing its meaning should preserve the correct answer, but must a model's internal representations stay invariant too? We investigate this question using synthetic multi-step function-composition problems, each presented under multiple rule orderings with the same correct answer. We measure accuracy and permutation signal-to-noise ratio (SNR),…",
  "key_points": [],
  "editors_take": null,
  "illustration": null,
  "coverage": {
    "outlets": 1,
    "also_reported_by": []
  },
  "ai_generated": true,
  "disclaimer": "Summaries, key points and the editor’s take are written by software from other outlets’ reporting and may contain errors — always check the linked original."
}