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[Reasoning]·PAP-VLDZUF·March 17, 2026

Let's Verify Step by Step

Hunter Lightman, Vineet Kosaraju, Yura Burda et al.

4 min readReasoningAlignmentTraining

Core Insight

Process supervision beats outcome supervision in AI reasoning accuracy—think 78.2% vs 72.4% success in math tasks.

Origin Story

arXiv preprintAnthropicHunter Lightman, Vineet Kosaraju et al.

The Room

A handful of researchers at Anthropic, 2023. The room buzzes with the quiet hum of tension and persistence. They are engineers to the core, frustrated by the limitations of outcome-based evaluations. Each failure to capture the nuance of problem-solving in AI felt like a missed opportunity, a nagging itch they couldn't quite scratch.

The Bet

While the world was content measuring success by final answers, the team proposed a daring shift: evaluate the reasoning process itself. The gamble was steep — what if the AI's process didn't align with human logic at all? They almost scrapped the idea when one night, over cold pizza, doubts crept in about the feasibility of measuring process correctness.

The Blast Radius

Without this paper, tools like Claude may have evolved very differently, potentially less capable of nuanced problem-solving. The authors, now pivotal figures in AI, continue to push boundaries at Anthropic. Their move sparked a cascade of research into process-oriented AI, influencing companies and academia alike in unexpected ways.

ClaudeAnthropic Assistant

Knowledge Prerequisites

git blame for knowledge

To fully understand Let's Verify Step by Step, trace this dependency chain first. Papers in our library are linked — click to read them.

DIRECT PREREQIN LIBRARY
Attention Is All You Need

Understanding the attention mechanism is fundamental to grasping the step-by-step verification approach used in modern language models.

attention mechanismtransformer architectureself-attention
DIRECT PREREQIN LIBRARY
Chain-of-Thought Prompting Elicits Reasoning in Large Language Models

This paper introduces the chain-of-thought prompting that underpins the structured, step-by-step reasoning process.

chain-of-thought promptingreasoning in modelsprompt engineering
DIRECT PREREQIN LIBRARY
OpenAI o1: Learning to Reason with LLMs

Building on foundational reasoning, this paper elaborates on enhancing reasoning capabilities in language models through structured learning.

learning to reasonlanguage model reasoningstructured learning
DIRECT PREREQIN LIBRARY
Self-Consistency Improves Chain of Thought Reasoning in Language Models

This demonstrates the self-consistency mechanism, which is crucial for improving the reliability of step-by-step reasoning processes.

self-consistencyreasoning improvementmodel reliability

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Let's Verify Step by Step

By the Numbers

78.2%

success rate of PRMs on MATH tasks

72.4%

success rate of ORMs on MATH tasks

800,000

human feedback labels used

In Plain English

The paper developed process reward models (PRMs) to assess each reasoning step, improving performance to 78.2% on MATH tasks. This surpasses outcome models' 72.4% success, illustrating that evaluating intermediate steps boosts AI accuracy.

Explained Through an Analogy

Imagine an orchestra where each musician's notes are evaluated—not just the symphony's finale. This step-by-step scrutiny elevates the entire performance.

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How grounded is this content?

Metrics are computed from available source text only — abstract, summary, and impact fields ingested into this system. Full paper PDF is not ingested; numerical claims that originate from within the paper body will not appear in these scores.

Source Richness100%

8 of 8 content fields populated. More fields = better-grounded generation.

Source Depth~225 words

Total source text analyzed by the model. Includes extended deep-dive summary — high confidence.

Number Grounding3 / 3

Key statistics whose numeric values appear verbatim in ingested source text. Unverified stats may originate from the full paper body.

Quote Traceability3 / 3

Key passages whose significant vocabulary (≥4-char words) overlap ≥35% with source text. Measures lexical traceability, not semantic accuracy.

Methodology: Number grounding uses regex digit extraction against source text. Quote traceability uses token set intersection on content words stripped of stop-words. Neither metric validates semantic correctness or factual accuracy against the original paper. For full verification, cross-reference with the original paper via the arXiv link above.