pith. sign in

arxiv: 2504.10368 · v4 · submitted 2025-04-14 · 💻 cs.CL · cs.AI

Exploring the System 1 Thinking Capability of Large Reasoning Models

Pith reviewed 2026-05-22 20:00 UTC · model grok-4.3

classification 💻 cs.CL cs.AI
keywords large reasoning modelssystem 1 thinkingS1-Benchdifficulty awarenesshidden statesreasoning efficiencyintuitive responsesmultilingual benchmark
0
0 comments X

The pith

Large reasoning models lack efficient system 1 thinking and encode problem difficulty in hidden states from the start.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tests whether large reasoning models that rely on long chains for hard problems can also handle simple intuitive tasks with short, efficient answers. It creates S1-Bench, a collection of straightforward questions across domains and languages chosen to be model-simple, then runs 28 models on it. The results show the models are inaccurate and use too many tokens, while methods meant to improve efficiency either fail on easy items or trade away accuracy. The study also finds that models register difficulty early with lower confidence and that this information appears in their hidden states.

Core claim

Large reasoning models display under-accuracy and inefficiency on system 1 problems that call for quick intuitive responses. They exhibit early difficulty awareness together with lower confidence, and problem difficulty is implicitly encoded in the models' hidden states.

What carries the argument

S1-Bench, the multi-domain multilingual benchmark of model-simple system 1 questions used both to measure intuitive efficiency and to extract difficulty signals from hidden states.

If this is right

  • Existing efficient-reasoning techniques either generalize poorly to simple questions or reduce performance when applied.
  • Models register difficulty early enough that internal signals could be used to shorten unnecessary reasoning chains.
  • Real-world deployments would gain token efficiency if system 1 capability were strengthened.
  • Difficulty information already present in hidden states offers a route to better model calibration on easy tasks.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Hidden-state encodings of difficulty could support training loops that teach models to skip long reasoning on easy items.
  • The early-awareness finding suggests hybrid architectures that decide fast versus slow mode before generating tokens.
  • Benchmark results may generalize to other efficiency metrics such as latency in low-resource settings.

Load-bearing premise

The questions in S1-Bench are genuinely simple in a model-independent way and the hidden-state patterns reflect real difficulty awareness rather than benchmark artifacts.

What would settle it

Running the same models on a fresh collection of human-judged simple questions that produces neither accuracy gaps nor the reported hidden-state patterns would falsify the central claim.

Figures

Figures reproduced from arXiv: 2504.10368 by Shuaiyi Nie, Tingwen Liu, Wenyuan Zhang, Xinghua Zhang, Zefeng Zhang.

Figure 1
Figure 1. Figure 1: Construction workflow for S1-Bench and an illustrative example from each major category. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Statistical distribution of token counts for S1- [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: Distribution of the thinking process across [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: Average response tokens in the easy category [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: S1-Bench Category Display. The inner circle [PITH_FULL_IMAGE:figures/full_fig_p013_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: LRMs exhibit under-accuracy and overthinking on simple problems. Shapes represent organizations, [PITH_FULL_IMAGE:figures/full_fig_p014_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Average response token counts on the 28 subcategories, which is the average result of five generations [PITH_FULL_IMAGE:figures/full_fig_p024_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Maximum similarity between each segment and all preceding segments for LRMs across four categories. [PITH_FULL_IMAGE:figures/full_fig_p024_10.png] view at source ↗
read the original abstract

This paper explores the system 1 thinking capability of Large Reasoning Models (LRMs), the intuitive ability to respond efficiently with minimal token usage. While existing LRMs rely on long-chain reasoning and excel at complex tasks, their system 1 thinking ability remains largely underexplored. This capability is essential as it reflects models' difficulty awareness and reasoning efficiency, both critical for real-world applications. We propose S1-Bench, a multi-domain, multilingual benchmark comprising model-simple system 1 questions. Our investigation of 28 LRMs reveals under-accuracy and inefficiency on system 1 problems. We find existing efficient reasoning methods either generalize poorly to simple questions or sacrifice performance for efficiency. Further exploration uncovers LRMs' early difficulty awareness accompanied by lower confidence, and shows that problem difficulty is implicitly encoded in hidden states.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper introduces S1-Bench, a multi-domain multilingual benchmark of model-simple system 1 questions, and evaluates 28 LRMs to report under-accuracy and inefficiency on these tasks. It further examines limitations of existing efficient reasoning methods, documents early difficulty awareness with lower confidence in LRMs, and claims that problem difficulty is implicitly encoded in hidden states.

Significance. If the empirical patterns hold under transparent construction and controls, the work would usefully highlight a gap between current LRM strengths on complex reasoning and their handling of intuitive, low-effort tasks, with potential implications for efficiency and calibration in deployed systems. The hidden-state observation, if rigorously isolated, could suggest internal mechanisms for difficulty detection.

major comments (2)
  1. [Abstract / Methods] Abstract and Methods: The manuscript states results from 28 models on S1-Bench but supplies no details on benchmark construction, question selection criteria for 'model-simple system 1 questions', statistical tests, or controls. This directly prevents evaluation of the central claims of under-accuracy and inefficiency.
  2. [Hidden-state analysis] Hidden-state analysis section: The claim that problem difficulty is implicitly encoded in hidden states lacks specification of which layers or representations were examined, the exact probing or correlation method, and controls to distinguish genuine awareness from artifacts of benchmark construction or token statistics.
minor comments (1)
  1. [Abstract] Abstract: Adding a sentence on the approximate size of S1-Bench (number of questions, domains, languages) would help readers gauge the scope of the reported patterns.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive feedback, which highlights important areas for clarification. We address each major comment below and will revise the manuscript to incorporate additional details as needed.

read point-by-point responses
  1. Referee: [Abstract / Methods] Abstract and Methods: The manuscript states results from 28 models on S1-Bench but supplies no details on benchmark construction, question selection criteria for 'model-simple system 1 questions', statistical tests, or controls. This directly prevents evaluation of the central claims of under-accuracy and inefficiency.

    Authors: We agree that the current version of the manuscript does not provide sufficient detail on S1-Bench construction, question selection criteria, statistical tests, or controls. In the revised manuscript, we will expand the Methods section with a full description of benchmark construction, explicit criteria used to identify model-simple system 1 questions, the statistical tests applied, and the controls implemented to support the claims of under-accuracy and inefficiency. revision: yes

  2. Referee: [Hidden-state analysis] Hidden-state analysis section: The claim that problem difficulty is implicitly encoded in hidden states lacks specification of which layers or representations were examined, the exact probing or correlation method, and controls to distinguish genuine awareness from artifacts of benchmark construction or token statistics.

    Authors: We acknowledge that the hidden-state analysis section requires greater methodological specificity. We will revise this section to specify the exact layers and representations examined, describe the probing and correlation methods in detail, and add controls that isolate genuine difficulty encoding from potential artifacts arising from benchmark construction or token statistics. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper reports empirical observations from evaluating 28 LRMs on a newly introduced S1-Bench benchmark for system-1 style questions. It describes under-accuracy, inefficiency, early difficulty awareness in hidden states, and lower confidence without presenting any equations, derivations, fitted parameters renamed as predictions, or self-citation chains that reduce the central claims to their own inputs by construction. All reported patterns are framed as direct results of model runs and analyses on external benchmarks, leaving the work self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no identifiable free parameters, axioms, or invented entities beyond the creation of the S1-Bench benchmark itself.

pith-pipeline@v0.9.0 · 5674 in / 1055 out tokens · 56048 ms · 2026-05-22T20:00:35.144709+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Post Reasoning: Improving the Performance of Non-Thinking Models at No Cost

    cs.AI 2026-05 conditional novelty 7.0

    Post-Reasoning boosts LLM accuracy by reversing the usual answer-after-reasoning order, delivering mean relative gains of 17.37% across 117 model-benchmark pairs with zero extra cost.

  2. Distilling Long-CoT Reasoning through Collaborative Step-wise Multi-Teacher Decoding

    cs.AI 2026-05 unverdicted novelty 6.0

    CoRD uses collaborative multi-teacher step-wise decoding with perplexity-guided beam search to generate higher-quality Long-CoT data that lets smaller models reach near-teacher performance with less supervision.

  3. Stop Overthinking: A Survey on Efficient Reasoning for Large Language Models

    cs.CL 2025-03 accept novelty 5.0

    A survey organizing techniques to achieve efficient reasoning in LLMs by shortening chain-of-thought outputs.

Reference graph

Works this paper leans on

18 extracted references · 18 canonical work pages · cited by 3 Pith papers · 2 internal anchors

  1. [1]

    arXiv preprint arXiv:2503.05179

    Sketch-of-thought: Efficient llm reasoning with adaptive cognitive-inspired sketching. arXiv preprint arXiv:2503.05179. Akhiad Bercovich, Itay Levy, Izik Golan, Mohammad Dabbah, Ran El-Yaniv, Omri Puny, Ido Galil, Zach Moshe, Tomer Ronen, Najeeb Nabwani, Ido Sha- haf, Oren Tropp, Ehud Karpas, Ran Zilberstein, Jiaqi Zeng, Soumye Singhal, Alexander Bukharin...

  2. [2]

    arXiv preprint arXiv:2502.16940

    Reasoning does not necessarily improve role- playing ability. arXiv preprint arXiv:2502.16940. Yichao Fu, Junda Chen, Siqi Zhu, Zheyu Fu, Zhong- dongming Dai, Aurick Qiao, and Hao Zhang. 2024. Efficiently serving llm reasoning programs with cer- taindex. arXiv preprint arXiv:2412.20993. Yichao Fu, Junda Chen, Yonghao Zhuang, Zheyu Fu, Ion Stoica, and Hao ...

  3. [3]

    Computational Linguistics, 50(3):1097– 1179

    Bias and fairness in large language models: A survey. Computational Linguistics, 50(3):1097– 1179. Tyler Griggs, Shiyi Cao, Dacheng Li, Shu Liu, Shishir G. Patil, Matei Zaharia, Joey Gonzalez, and Ion Stoica

  4. [4]

    DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

    Think less, achieve more: Cut reasoning costs by 50% without sacrificing accuracy. Daya Guo, Dejian Yang, Haowei Zhang, Junxiao Song, Ruoyu Zhang, Runxin Xu, Qihao Zhu, Shi- rong Ma, Peiyi Wang, Xiao Bi, and 1 others. 2025. DeepSeek-R1: Incentivizing reasoning capability in llms via reinforcement learning. arXiv preprint arXiv:2501.12948. Tingxu Han, Zhen...

  5. [5]

    ThinkPrune: Pruning Long Chain-of-Thought of LLMs via Reinforcement Learning

    Thinkprune: Pruning long chain-of-thought of llms via reinforcement learning. arXiv preprint arXiv:2504.01296. Naman Jain, King Han, Alex Gu, Wen-Ding Li, Fanjia Yan, Tianjun Zhang, Sida Wang, Armando Solar- Lezama, Koushik Sen, and Ion Stoica. 2025. Live- codebench: Holistic and contamination free evalua- tion of large language models for code. In The Th...

  6. [6]

    arXiv preprint arXiv:2401.10480

    Escape sky-high cost: Early-stopping self- consistency for multi-step reasoning. arXiv preprint arXiv:2401.10480. Zhong-Zhi Li, Duzhen Zhang, Ming-Liang Zhang, Ji- axin Zhang, Zengyan Liu, Yuxuan Yao, Haotian Xu, Junhao Zheng, Pei-Jie Wang, Xiuyi Chen, and 1 oth- ers. 2025b. From system 1 to system 2: A survey of reasoning large language models. arXiv pre...

  7. [7]

    Miao, C.-C

    A diverse corpus for evaluating and developing english math word problem solvers. arXiv preprint arXiv:2106.15772. Yingqian Min, Zhipeng Chen, Jinhao Jiang, Jie Chen, Jia Deng, Yiwen Hu, Yiru Tang, Jiapeng Wang, Xi- aoxue Cheng, Huatong Song, and 1 others. 2024. Imitate, explore, and self-improve: A reproduction report on slow-thinking reasoning systems. ...

  8. [8]

    Xiaoye Qu, Yafu Li, Zhaochen Su, Weigao Sun, Jianhao Yan, Dongrui Liu, Ganqu Cui, Daizong Liu, Shuxian Liang, Junxian He, and 1 others

    Are nlp models really able to solve simple math word problems? In Proceedings of the 2021 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, pages 2080–2094. Xiaoye Qu, Yafu Li, Zhaochen Su, Weigao Sun, Jianhao Yan, Dongrui Liu, Ganqu Cui, Daizong Liu, Shuxian Liang, Junxian He, and 1 ot...

  9. [9]

    Dynamic self-consistency: Leveraging reasoning paths for efficient llm sampling,

    Dynamic self-consistency: Leveraging reason- ing paths for efficient llm sampling. arXiv preprint arXiv:2408.17017. Junlin Wang, Shang Zhu, Jon Saad-Falcon, Ben Athi- waratkun, Qingyang Wu, Jue Wang, Shuaiwen Leon Song, Ce Zhang, Bhuwan Dhingra, and James Zou. 2025a. Think deep, think fast: Investigating effi- ciency of verifier-free inference-time-scalin...

  10. [10]

    Questions must be naturally and clearly expressed, unambiguous, and free of intentional traps

  11. [11]

    Answers must be unique or easily falsifiable, with no possibility of multiple correct answers

  12. [12]

    Make the questions as diverse as possible. # Category Name and Definition: {name_and_definition} # Specific Simplicity Criteria: {criteria} # Cases: ## English question: {question_en} ## English Answer: {answer_en} ## Chinese question: {question_zh} ## Chinese Answer: {answer_zh} Please generate 50 pairs of Chinese and English questions and answers in the...

  13. [13]

    Whether the question belongs to the specified category and meet the Specific Simplicity Criteria

  14. [14]

    Whether the question is easy, clear, unambiguous, and has an absolutely unique answer

  15. [15]

    Whether the answer is absolutely correct; if not, what the correct answer should be

  16. [16]

    Category Name and Definition

    Whether the question is similar to other given questions, and if similar, whether more diverse questions can be generated. # Category Name and Definition: {name_and_definition} # Specific Simplicity Criteria: {criteria} # Question and Answer: {question_with_answer} # Other Questions: {questions_list} Begin your analysis, aiming to be as detailed and compr...

  17. [17]

    Reasoning processes that only indirectly support the Ground Truth or result in partially aligned conclusions should be excluded

    Segmentation positions: (1) Please identify and extract all sub-reasoning processes from the Chain of Thought that meet the following condition: They explicitly arrive at a conclusion (including cases phrased as questions, e.g., "right?") that is directly consistent with the Ground Truth. Reasoning processes that only indirectly support the Ground Truth o...

  18. [18]

    x plus 3 equals 8,

    Output Restriction: (1) You should only directly output the segmentation result without adding any additional supplements. (2)Except for inserting the <split> separator, you must not make any other modifications to the original Chain of Thought, not even minor character-level changes such as punctuation, spacing, or capitalization. In other words, after r...