Datasets:

Davd-b01
/

thinking-cap-tier-raw-traces

seed_id stringlengths 30 39	tier stringclasses 4 values	domain stringclasses 7 values	prompt stringlengths 16 5.96k	gold_solution stringlengths 1 250	generation_raw stringlengths 27 22.5k	think stringlengths 0 10.6k	answer stringlengths 0 8.54k	token_count int64 284 2.4k	has_think_closing bool 2 classes	has_boxed bool 2 classes
SEED_STRICT_INSTRUCTION_00057_2374ddeb	high	strict_instruction	What is dry ice?	## Dry Ice Dry ice is the solid form of carbon dioxide (CO₂). It has a temperature of approximately −78.5°C (−109.3°F) at atmospheric pressure. ### Key Properties - Sublimation: Unlike regular ice, dry ice does not melt into a liquid.	<tc_think> 1. Heuristic Exploration: * The query asks for a definition/description of "dry ice". * Core identity: Solid carbon dioxide (CO2). * Key characteristic: Sublimation (solid to gas) due to low melting point below atmospheric pressure. * Physical appearance: White solid blocks or pe...	1. Heuristic Exploration: * The query asks for a definition/description of "dry ice". * Core identity: Solid carbon dioxide (CO2). * Key characteristic: Sublimation (solid to gas) due to low melting point below atmospheric pressure. * Physical appearance: White solid blocks or pellets. ...	Dry ice is the solid form of carbon dioxide ($CO_2$). At its standard temperature and pressure (0°C), dry ice exhibits unique thermodynamic behavior because the triple point of carbon dioxide occurs at $-56.6°C$ at 1 atmosphere of pressure. Consequently, dry ice cannot melt into a liquid under these conditions; instead...	1,500	true	false
SEED_STRICT_INSTRUCTION_00309_bf9b391c	high	strict_instruction	what is REST API	# REST API ## Definition REST (Representational State Transfer) is an architectural style for designing networked applications. A REST API is an interface that allows two systems to communicate over HTTP using REST principles. --- ## Core	<tc_think> To answer the question "what is REST API," I will first define the core components based on the provided trace and then synthesize them into a comprehensive explanation. The structure will follow the logical flow from definition to specific mechanisms and advantages. 1. Heuristic Exploration: * T...	To answer the question "what is REST API," I will first define the core components based on the provided trace and then synthesize them into a comprehensive explanation. The structure will follow the logical flow from definition to specific mechanisms and advantages. 1. Heuristic Exploration: * The term "RE...	A REST API (Representational State Transfer API) is a web service architecture style designed around four constraints: statelessness, cacheability, uniformity, and layering. At its core, a REST API is an interface that allows two systems (such as a frontend app and a backend database) to communicate over HTTP using sta...	1,500	true	false
SEED_STRICT_INSTRUCTION_00315_c18ca7bf	high	strict_instruction	Why USA is best ?	# Why People Consider the USA Exceptional The premise that the USA is "best" is subjective and depends on what criteria you value. Here are common arguments people make: ## Strengths Often Cited - Economic opportunity – Largest GDP, high avera	<tc_think> ### Phase 1: Heuristic Exploration The question asks for justification of why the United States is considered "best." This is inherently normative and context-dependent. To provide a rigorous answer, I must first establish the definition of "best" within sociological and philosophical frameworks. Potential p...	### Phase 1: Heuristic Exploration The question asks for justification of why the United States is considered "best." This is inherently normative and context-dependent. To provide a rigorous answer, I must first establish the definition of "best" within sociological and philosophical frameworks. Potential pitfalls inc...	Based on objective analysis of national performance across economic, social, and political metrics, the United States is widely regarded as exceptionally strong due to several factors, though this assessment comes with necessary caveats regarding implementation and equity. Core Strengths Justifying the Claim: 1. ...	1,500	true	false
SEED_STRICT_INSTRUCTION_00431_00856396	high	strict_instruction	What is Tianwen 1?	## Tianwen-1 (天问一号) Tianwen-1 is China's first independent Mars exploration mission, conducted by the China National Space Administration (CNSA). The name "Tianwen" translates to "Questions to Heaven" or "Heavenly Questions," taken from a classi	<tc_think> To answer the question "What is Tianwen 1?", I will synthesize the provided information into a structured response covering its identity, purpose, components, and significance. 1. Identity & Purpose: Identify Tianwen-1 as China's first independent Mars exploration mission managed by CNSA. State its prim...	To answer the question "What is Tianwen 1?", I will synthesize the provided information into a structured response covering its identity, purpose, components, and significance. 1. Identity & Purpose: Identify Tianwen-1 as China's first independent Mars exploration mission managed by CNSA. State its primary goal: t...	Tianwen 1 is China's first independent Mars exploration mission, launched by the China National Space Administration (CNSA). Its primary objective is to conduct comprehensive studies of the Martian environment and geology using a combination of orbital observation and surface roving. Key aspects of Tianwen 1 include: ...	1,500	true	false
SEED_STRICT_INSTRUCTION_00301_bb6ae223	high	strict_instruction	What is Oktoberfest	# Oktoberfest Oktoberfest is the world's largest beer festival and funfair, held annually in Munich, Bavaria, Germany. ## Key Facts - When: Despite its name, it primarily takes place in late September to early October, running for	<tc_think> ### Phase 1: Heuristic Exploration The task asks for a definition/explanation of "Oktoberfest." I need to cover the core elements: location, timing, history, key activities, and cultural significance. - Location: Munich, Bavaria, Germany. - Timing: Late September/Early October. - History: 1810 w...	### Phase 1: Heuristic Exploration The task asks for a definition/explanation of "Oktoberfest." I need to cover the core elements: location, timing, history, key activities, and cultural significance. - Location: Munich, Bavaria, Germany. - Timing: Late September/Early October. - History: 1810 wedding anni...	Oktoberfest is the world’s largest beer festival and funfair, traditionally held annually in Munich, Bavaria, Germany. While named after October, the festival typically runs from late September to early October, spanning roughly 16 to 18 days. Origins Oktoberfest began on October 12, 1810, to celebrate the...	1,500	true	false
SEED_MATH_FORMAL_00197_3f5d71e2	high	math_formal	Find $1+2\cdot3-4+5.$	8	<tc_think> Primary Rigorous Proof Let the expression be denoted as $E$. We define $E$ as follows: $$ E = 1 + 2 \cdot 3 - 4 + 5 $$ According to the standard order of operations (PEMDAS/BODMAS), we must perform Multiplication and Division before Addition and Subtraction. In this specific expression, there is one mu...	Primary Rigorous Proof Let the expression be denoted as $E$. We define $E$ as follows: $$ E = 1 + 2 \cdot 3 - 4 + 5 $$ According to the standard order of operations (PEMDAS/BODMAS), we must perform Multiplication and Division before Addition and Subtraction. In this specific expression, there is one multiplicatio...	8	1,500	true	false
SEED_STRICT_INSTRUCTION_00132_4fb1a66f	high	strict_instruction	Зачем человеку спать?	# Зачем человеку спать? Сон — это не просто «отключение» организма, а активный биологический процесс, без которого невозможно нормальное функционирование тела и мозга. Вот основные причины, почему он необходим: ## 🧠 Мозг и память - **Консолидация п	<tc_think> Primary Rigorous Proof: Biomechanical and Neurobiological Mandate of Sleep The necessity of sleep is derived from the fundamental thermodynamic and homeostatic constraints governing biological systems at the molecular level. I will construct this argument based on three pillars: metabolic homeostasis, n...	Primary Rigorous Proof: Biomechanical and Neurobiological Mandate of Sleep The necessity of sleep is derived from the fundamental thermodynamic and homeostatic constraints governing biological systems at the molecular level. I will construct this argument based on three pillars: metabolic homeostasis, neural circu...		1,500	true	false
SEED_STRICT_INSTRUCTION_00362_e2542897	high	strict_instruction	回答集编程和Prolog有什么联系和区别？	# 回答集编程（ASP）与 Prolog 的联系和区别 ## 一、联系 \| 方面 \| 说明 \| \|------\|------\| \| 共同根源 \| 都源于逻辑编程（Logic Programming）传统，基于一阶谓词逻辑 \| \| 语法相似 \| ASP 的规则语法直接继承自 Prolog，形如 `head :- body.` \| \| 声明式思想 \| 都强调"描述问题是什么"而非"如何求解" \| \| 规则表示 \| 都用 Horn 子句/规则来表达知识和推理 \| \|	<tc_think> 1. Heuristic Exploration: - The task asks for the relationship between Answer Set Programming (ASP) and Prolog. - Key concepts to cover: Commonality (logic programming roots), Syntax (inheritance), Semantics (model-based vs. process-based), Logic handling (negation as failure vs. negation as fact/class...	1. Heuristic Exploration: - The task asks for the relationship between Answer Set Programming (ASP) and Prolog. - Key concepts to cover: Commonality (logic programming roots), Syntax (inheritance), Semantics (model-based vs. process-based), Logic handling (negation as failure vs. negation as fact/classical negati...		1,500	true	false
SEED_STRICT_INSTRUCTION_00495_02668d13	high	strict_instruction	What is Hornachuelos?	## Hornachuelos Hornachuelos is a municipality located in the province of Córdoba, in the autonomous community of Andalusia, Spain. Here are some key facts: ### Geography - Situated in the Sierra Morena mountain range. - It is part of the **Par	<tc_think> 1. Heuristic Exploration: The query asks for information about "Hornachuelos". Based on my internal knowledge base regarding Spanish geography and local municipalities, I identify "Hornachuelos" as a specific location within the province of Córdoba, Andalusia. This entity is notably associated with a na...	1. Heuristic Exploration: The query asks for information about "Hornachuelos". Based on my internal knowledge base regarding Spanish geography and local municipalities, I identify "Hornachuelos" as a specific location within the province of Córdoba, Andalusia. This entity is notably associated with a natural park ...	Hornachuelos is a small municipality located in the province of Córdoba, in the autonomous community of Andalusia, Spain. It is situated within the Sierra Morena mountain range and is particularly notable for being the namesake of the Parque Natural de la Sierra de Hornachuelos. This natural reserve is characterize...	1,500	true	false
SEED_MATH_FORMAL_00198_3f87f089	high	math_formal	Simplify $2y + 3y+4y$.	9y	<tc_think> Primary Rigorous Proof Let the given expression be denoted as $E$. We define $E$ as follows: $$ E = 2y + 3y + 4y $$ The algebraic operation of addition is commutative and associative for real numbers. Therefore, we may rearrange or group these terms without altering their sum. Specifically, we can regr...	Primary Rigorous Proof Let the given expression be denoted as $E$. We define $E$ as follows: $$ E = 2y + 3y + 4y $$ The algebraic operation of addition is commutative and associative for real numbers. Therefore, we may rearrange or group these terms without altering their sum. Specifically, we can regroup all ter...	9y	1,500	true	false
SEED_STRICT_INSTRUCTION_00036_11fb903a	high	strict_instruction	What is beta oxidation?	# Beta Oxidation (β-Oxidation) ## Definition Beta oxidation is the metabolic process by which fatty acids are broken down in the mitochondria (and peroxisomes) to generate acetyl-CoA, which then enters the citric acid cycle (Krebs cycle) to	<tc_think> ### Primary Rigorous Proof: Biochemical Mechanism and Thermodynamic Driving Forces To rigorously define and explain beta oxidation ($ \beta $-oxidation), we must establish its biochemical sequence, the thermodynamic constraints governing it, and the mechanistic prerequisites required for substrate entry. Th...	### Primary Rigorous Proof: Biochemical Mechanism and Thermodynamic Driving Forces To rigorously define and explain beta oxidation ($ \beta $-oxidation), we must establish its biochemical sequence, the thermodynamic constraints governing it, and the mechanistic prerequisites required for substrate entry. This involves...	Beta oxidation is the metabolic process by which fatty acids are broken down in the mitochondria (and peroxisomes) to generate acetyl-CoA, which then enters the citric acid cycle to produce energy in the form of ATP.	1,500	true	false
SEED_STRICT_INSTRUCTION_00061_24f62891	high	strict_instruction	how to use nn.embedding	# `nn.Embedding` in PyTorch `nn.Embedding` is a lookup table that maps discrete indices (e.g., word IDs) to dense vector representations (embeddings). ## Basic Usage ```python import torch import torch.nn as nn # Create an embedding layer # num_e	<tc_think> To answer "how to use nn.embedding" in the context of PyTorch, I need to provide a comprehensive guide covering creation, usage patterns, and common pitfalls. 1. Understand the Core Concept `nn.Embedding` creates a learned mapping from integer indices (like word IDs or token positions) to high-dimension...	To answer "how to use nn.embedding" in the context of PyTorch, I need to provide a comprehensive guide covering creation, usage patterns, and common pitfalls. 1. Understand the Core Concept `nn.Embedding` creates a learned mapping from integer indices (like word IDs or token positions) to high-dimensional vectors ...		1,500	true	false
SEED_STRICT_INSTRUCTION_00152_5900d156	high	strict_instruction	What is the best sport?	There's no single "best" sport — it depends entirely on what you value: For accessibility: Soccer (football) — all you need is a ball and some space. For physical fitness: Swimming — full-body workout with low joint impact. **For strategy:	<tc_think> To determine the "best" sport, I must first acknowledge that there is no objective metric for sports superiority. The concept of "best" is inherently subjective and context-dependent. Therefore, my approach will be to analyze various dimensions of sports—physicality, accessibility, strategic depth, and compe...	To determine the "best" sport, I must first acknowledge that there is no objective metric for sports superiority. The concept of "best" is inherently subjective and context-dependent. Therefore, my approach will be to analyze various dimensions of sports—physicality, accessibility, strategic depth, and competitive inte...	Soccer	1,500	true	false
SEED_STRICT_INSTRUCTION_00253_966b100b	high	strict_instruction	ควรอาบน้ำแมวบ่อยขนาดไหน	# ความถี่ในการอาบน้ำแมว 🐱 ## คำแนะนำทั่วไป แมวเป็นสัตว์ที่ทำความสะอาดตัวเองได้ดีมาก โดยปกติ ไม่จำเป็นต้องอาบน้ำบ่อย \| ประเภทแมว \| ความถี่ที่แนะนำ \| \|-----------\|----------------\| \| แมวขนสั้น (เลี้ยงในบ้าน) \| ทุก 2–3 เดือน หรือเมื่อจำเป็น \| \| แ	<tc_think> ### Primary Rigorous Proof: Analysis of Feline Hygiene Mechanisms and Clinical Guidelines To determine the optimal frequency for bathing cats, I must first establish the biological necessity for grooming versus hygiene, then analyze the physiological impact of excessive washing on feline skin physiology. *...	### Primary Rigorous Proof: Analysis of Feline Hygiene Mechanisms and Clinical Guidelines To determine the optimal frequency for bathing cats, I must first establish the biological necessity for grooming versus hygiene, then analyze the physiological impact of excessive washing on feline skin physiology. **1. Biologi...		1,500	true	false
SEED_STRICT_INSTRUCTION_00374_ead6a96b	high	strict_instruction	How can I avoid sunburn?	To avoid sunburn, reduce your skin’s exposure to ultraviolet (UV) radiation, especially during peak sunlight hours. ### 1. Use sunscreen correctly - Choose broad-spectrum sunscreen that protects against both UVA and UVB rays. - Use **SPF 30 or h	<tc_think> Primary Rigorous Proof: Biophysical Mechanism of Ultraviolet Radiation Absorption and Photochemical Damage The avoidance of sunburn is fundamentally governed by the interaction between electromagnetic radiation and biological tissue, specifically melanin and DNA. To rigorously prove how one avoids sunbu...	Primary Rigorous Proof: Biophysical Mechanism of Ultraviolet Radiation Absorption and Photochemical Damage The avoidance of sunburn is fundamentally governed by the interaction between electromagnetic radiation and biological tissue, specifically melanin and DNA. To rigorously prove how one avoids sunburn, we must...	To avoid sunburn, reduce your skin's exposure to ultraviolet (UV) radiation, especially during peak sunlight hours. ### 1. Use sunscreen correctly - Choose broad-spectrum sunscreen that protects against both UVA and UVB rays. - Use SPF 30 or higher. - Apply it 15–30 minutes before going outside. - Use enou...	1,500	true	false
SEED_STRICT_INSTRUCTION_00452_01299a8f	high	strict_instruction	How do banks make money?	# How Banks Make Money Banks generate revenue through several key channels: ## 1. Net Interest Margin (Primary Source) This is the core of banking. Banks: - Accept deposits from customers and pay them a low interest rate (e.g., 0.5% on savings)	<tc_think> To answer how banks make money, I will analyze their primary business model based on standard economic principles regarding financial intermediation. The core mechanism involves acting as a bridge between savers and borrowers while maintaining a thin margin over this flow of funds. **1. The Fundamental Mech...	To answer how banks make money, I will analyze their primary business model based on standard economic principles regarding financial intermediation. The core mechanism involves acting as a bridge between savers and borrowers while maintaining a thin margin over this flow of funds. **1. The Fundamental Mechanism: Arbi...	Banks make money primarily by leveraging the time value of money through the creation of interest differentials. Their business model acts as a intermediary between savers and borrowers, capturing the difference between the cost of funding those savers and the return generated when the borrowed funds are lent out. Her...	1,500	true	false
SEED_MATH_FORMAL_00357_73f9fd99	high	math_formal	Compute $\dbinom{16}{5}$.	4368	<tc_think> Primary Rigorous Proof Let us define the binomial coefficient $\binom{n}{k}$ as: $$ \binom{n}{k} = \frac{n!}{k!(n-k)!} $$ We are tasked with computing $\binom{16}{5}$. Substituting $n=16$ and $k=5$ into the definition: $$ \binom{16}{5} = \frac{16!}{5!(16-5)!} = \frac{16!}{5! \cdot 11!} $$ To simplify...	Primary Rigorous Proof Let us define the binomial coefficient $\binom{n}{k}$ as: $$ \binom{n}{k} = \frac{n!}{k!(n-k)!} $$ We are tasked with computing $\binom{16}{5}$. Substituting $n=16$ and $k=5$ into the definition: $$ \binom{16}{5} = \frac{16!}{5!(16-5)!} = \frac{16!}{5! \cdot 11!} $$ To simplify this expre...	4368	1,500	true	false
SEED_MATH_FORMAL_00494_a0b6d58f	high	math_formal	Compute $\dbinom{25}{2}$.	300	<tc_think> Primary Rigorous Proof To compute the binomial coefficient $\dbinom{25}{2}$, we utilize the standard definition of combinations. The binomial coefficient is defined as: $$ \dbinom{n}{k} = \frac{n!}{k!(n-k)!} $$ where $n$ is the total number of items, and $k$ is the number of items to choose. Given our ...	Primary Rigorous Proof To compute the binomial coefficient $\dbinom{25}{2}$, we utilize the standard definition of combinations. The binomial coefficient is defined as: $$ \dbinom{n}{k} = \frac{n!}{k!(n-k)!} $$ where $n$ is the total number of items, and $k$ is the number of items to choose. Given our specific ca...	300	1,500	true	false
SEED_STRICT_INSTRUCTION_00410_fd7729db	high	strict_instruction	What is kombucha made of?	## Kombucha Ingredients Kombucha is a fermented tea drink made from a few simple ingredients: Base ingredients: - Tea – typically black tea, green tea, or a blend - Sugar – usually white cane sugar (which feeds the fermentation) - **Wat	<tc_think> 1. Heuristic Exploration: The user asks for the composition of kombucha. I need to identify the core components required for its production, based on general knowledge of traditional and modern kombucha recipes. Key elements include the base tea, the sweetener (sugar), water, and the starter culture (SCOBY)....	1. Heuristic Exploration: The user asks for the composition of kombucha. I need to identify the core components required for its production, based on general knowledge of traditional and modern kombucha recipes. Key elements include the base tea, the sweetener (sugar), water, and the starter culture (SCOBY). I must als...	Kombucha is made from four primary ingredients: 1. Tea: Typically black tea or green tea. 2. Sugar: Usually white cane sugar. 3. Water: Filtered water. 4. SCOBY: A Symbiotic Culture of Bacteria and Yeast (a gelatinous mat containing Lactobacillus and Acetobacter species) used for fermentation. Opti...	1,500	true	false
SEED_STRICT_INSTRUCTION_00062_25059b48	high	strict_instruction	How do you care for a dog?	# How to Care for a Dog Caring for a dog is a rewarding responsibility that involves meeting their physical, mental, and emotional needs. Here's a comprehensive guide: ## Nutrition - Feed a high-quality, age-appropriate diet (puppy, adult, or s	<tc_think> ### Phase 1: Heuristic Exploration The task asks "How do you care for a dog?" This requires synthesizing general knowledge about canine welfare into actionable advice. The response must cover the core pillars of pet ownership: nutrition, exercise, health/veterinary care, grooming, training/socialization, saf...	### Phase 1: Heuristic Exploration The task asks "How do you care for a dog?" This requires synthesizing general knowledge about canine welfare into actionable advice. The response must cover the core pillars of pet ownership: nutrition, exercise, health/veterinary care, grooming, training/socialization, safety/environ...	To care for a dog effectively, you must address their physical, mental, and emotional needs across their entire life cycle. Here is a comprehensive guide divided into key care pillars: ### 1. Nutrition * High-Quality Diet: Feed your dog a species-specific diet (puppy, adult, or senior) formulated for their life ...	1,500	true	false

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Thinking Cap Tier Raw Traces (TCS v4)

Dataset Release v1.2 (Sept 2026) — Clean Delimiters & Zero-Padding Architecture: All 38,158 candidate reasoning traces across all 4 tiers (candidates_low.jsonl, candidates_mid.jsonl, candidates_high.jsonl, candidates_xhigh.jsonl) are 100% sanitized:

Zero batch-padding residues (<|pad|>): Completely purged across all records.

Strict Delimiter Integrity: Generation blocks cleanly separate thought deliberation tags (<tc_think>...</tc_think>) from final answers (<tc_answer>...</tc_answer>).

Pre-Parsed Fields: In addition to generation_raw, every sample already provides clean, un-wrapped think and answer fields ready for instant downstream usage without requiring regex parsing.

This repository contains the unfiltered raw generation traces (38,158 samples, ~45.5M tokens) generated by our distributed Best-of-N reasoning factory operating across 4x NVIDIA L40S GPU nodes.

These traces represent candidate reasoning outputs across 4 distinct cognitive tiers under the modern Thinking Cap Tiers (TCS v4 Cognitive Governance Standard), sampled from the curated multi-domain seed pool master_seeds_v4_frontier.jsonl.

1. Dataset Summary & Statistics

Total Traces: 38,158 JSONL records
Total Uncompressed Size: 367.7 MB
Total Volume: ~45.5M tokens
Seed Source: 3,432 frontier gold seeds across 7 domains (Math Olympiad, Science & Logic, Executable Code, Instruction Following, Dialogue & Philosophy, Agentic Tools, Multilingual Native).

File	Tier	Records	Size	Median Words	Cognitive Architecture
`candidates_low.jsonl`	LOW	10,296	49.3 MB	~180	Agile unilinear deductions and direct problem solving
`candidates_mid.jsonl`	MID	10,296	75.8 MB	~350	Step-by-step pedagogical derivations
`candidates_high.jsonl`	HIGH	10,702	123.7 MB	~650	Formal proofs with secondary self-verification branches
`candidates_xhigh.jsonl`	XHIGH	6,864	118.9 MB	~1,250	Deep deliberative reasoning structured across 4 formal phases

2. Trace Generation Pipeline & Models

The candidate traces were produced through distributed Best-of-N sampling:

Compute Cluster: 4x NVIDIA L40S (48GB Ada Lovelace per node, aggregate throughput ~11,600 tok/s).
Inference Engine: High-throughput engine with chunked prefill, KV-cache paging, and prefix sharing (num_return_sequences = K).
Generator & Teacher Models:
- Distillation and seed anchor traces generated by frontier teacher models: Qwen 3.8 Max, GLM 5.2, and Moonshot Kimi k3.
- Deep deliberative problem distributions derived from OpenThoughts.
- Multi-tier cognitive directives enforcing strict token and structural boundaries across each tier.
Sampling Parameters:
- temperature = 0.6 (Math/Code), 0.7 (Science/Logic), 0.8 (Dialogue)
- top_p = 0.95
- Max generation tokens: 600 (Low), 950 (Mid), 1,500 (High), 2,400 (XHigh)

3. Data Schema & Record Format

Each .jsonl file contains newline-delimited JSON objects with the exact schema below:

{
  "candidate_id": "CAND_HIGH_00057_2374ddeb_rep0",
  "seed_id": "SEED_STRICT_INSTRUCTION_00057_2374ddeb",
  "tier": "high",
  "domain": "strict_instruction",
  "prompt": "Explain what a REST API is and list its key HTTP methods.",
  "gold_solution": "A REST API is an architectural style for distributed web services...",
  "generation_raw": "<tc_think>\n1. Heuristic Exploration...\n2. Exhaustive Derivation...\n3. Independent Cross-Verification...\n4. Base-Case / Boundary Test...\n</tc_think>\n<tc_answer>\nA REST API (Representational State Transfer API) is...\n</tc_answer><|im_end|>",
  "think": "1. Heuristic Exploration...\n2. Exhaustive Derivation...\n3. Independent Cross-Verification...\n4. Base-Case / Boundary Test...",
  "answer": "A REST API (Representational State Transfer API) is a web service architecture style...",
  "token_count": 1500,
  "has_think_closing": true,
  "has_boxed": false
}

Key Field Descriptions:

candidate_id: Unique identifier for the candidate generation.
seed_id: Origin seed linkage in master_seeds_v4_frontier.
tier: Cognitive depth (low, mid, high, xhigh).
domain: One of 7 domain classifications (sft_math, sft_science, sft_code, sft_tools, sft_instruction_final, sft_dialogue, sft_multilingual).
prompt: User query or task instruction.
gold_solution: Ground-truth reference solution used for verifiers and rejection filtering.
generation_raw: The complete unedited output from the generator, including generation delimiters (<tc_think> and <tc_answer>).
think: The pre-extracted, un-wrapped internal deliberation text (zero regex required).
answer: The pre-extracted, un-wrapped final response text.
token_count: Total token count of the generation.
has_think_closing: Boolean confirming clean closure of the deliberation phase.
has_boxed: Boolean indicating if a LaTeX \boxed{} deliverable is present.

4. How to Parse & Use Raw Traces

These raw candidate traces are designed for:

Best-of-N Selection: Apply automated scoring (SymPy math equality, Python AST execution, length normalization) to select top-scoring traces.
Preference Dataset Construction: Pair high-scoring candidates (chosen) against lower-scoring or hallucinated candidates (rejected) for DPO, SimPO, or RLVR alignment.
Cognitive Depth SFT: Train models with explicit reasoning budgets and tier-based deliberation constraints.

Python Quickstart (Zero-Regex Direct Access):

from datasets import load_dataset

# Load all raw candidate traces (38,158 records)
dataset = load_dataset("Davd-b01/thinking-cap-tier-raw-traces")

# Or load a specific tier: "low", "mid", "high", "xhigh"
dataset_high = load_dataset("Davd-b01/thinking-cap-tier-raw-traces", "high")

# Sample row inspection
sample = dataset["train"][0]
print("Prompt:", sample["prompt"])
print("Thinking (~words):", len(sample["think"].split()))
print("Answer:", sample["answer"][:200], "...")

Formatting to ChatML with Reasoning Delimiters:

def format_to_chatml(sample):
    tier_directives = {
        "low": "Reasoning effort is set to low. Think briefly, then answer.",
        "mid": "Reasoning effort is set to medium. Explain step-by-step.",
        "high": "Reasoning effort is set to high. Provide rigorous proof with verification.",
        "xhigh": "Reasoning effort is set to maximum. Deliberate thoroughly across all phases."
    }
    sys_directive = tier_directives.get(sample["tier"], "Explain step-by-step.")
    
    chatml = (
        f"<|im_start|>system\n{sys_directive}<|im_end|>\n"
        f"<|im_start|>user\n{sample['prompt']}<|im_end|>\n"
        f"<|im_start|>assistant\n<think>\n{sample['think']}\n</think>\n{sample['answer']}<|im_end|>"
    )
    return {"text": chatml}

🎯 What is Sought in Each Thinking Tier? (Cognitive Architecture & Objectives)

The Thinking Cap Tiers (TCS v4 Cognitive Governance Standard) rejects the naive assumption that more thinking tokens are always better. Different cognitive tasks exhibit fundamentally distinct computational complexity requirements:

1. Tier LOW (effort=low): Agile Unilinear Deduction

Cognitive Objective: Fast, single-pass linear derivation with instant self-check.
Enforced Behavior: Generates a brief thought trace (~150–250 words). The reasoning proceeds forward in a straight line without alternative branching or verbose preambles.
Target Tasks: High-school algebra, straightforward coding functions, single-step logic puzzles, concise summaries.

2. Tier MID (effort=mid): Structured Pedagogical Exposition

Cognitive Objective: Clear step-by-step pedagogical clarity, transparent intermediate states.
Enforced Behavior: Generates a structured thought trace (~300–500 words). Bridges the gap between concise answers and formal proofs by detailing the why behind every algebraic step or algorithmic invariant.
Target Tasks: Undergraduate STEM exercises, multi-file code refactoring, data analysis interpretations, conceptual explanations.

3. Tier HIGH (effort=high): Formal Dual-Branch Proof

Cognitive Objective: Rigorous formal proof combined with a mandatory secondary verification branch.
Enforced Behavior: Generates a comprehensive trace (~600–900 words). After completing the primary derivation, the model enters a secondary verification branch: checking boundary conditions, testing edge cases, substituting values back into original equations, or analyzing asymptotic behavior.
Target Tasks: Olympiad mathematics (AMC12, AIME), complex algorithmic design (dynamic programming, graph algorithms), strict constraint satisfaction.

4. Tier XHIGH (effort=xhigh): 4-Phase Deep Deliberation

Cognitive Objective: Deep philosophical and mathematical deliberation across 4 distinct cognitive stages:
1. Phase 1 (Framing & Invariant Discovery): Deconstructs the problem space, identifies hidden symmetries, invariants, and edge constraints.
2. Phase 2 (Hypothesis & Counter-Example Search): Proposes candidate solution pathways and aggressively attempts to falsify them with minimal counter-examples.
3. Phase 3 (Deep Formal Proof / Synthesis): Develops the complete mathematical proof or end-to-end production code implementation.
4. Phase 4 (Stress-Testing & Boundary Synthesis): Performs adversarial stress-testing against the proof before releasing the final answer.
Target Tasks: Advanced Olympiad theorems, Putnam competition problems, zero-day code vulnerability analysis, complex multi-agent system protocols.

🏛️ Trace Generators, Attribution & Upstream Acknowledgments

The reasoning traces and seed prompts in this project were generated and distilled using the following foundational teacher models and datasets:

r0b0tlab/qwen3.8-max-glm5.2-kimi-k3-distillation (r0b0tlab):
- Provided the 3,432 gold frontier seed problems across 7 domains (sft_math, sft_science, sft_code, sft_tools, sft_instruction_final, sft_dialogue, sft_multilingual).
- Teacher reasoning generated by Qwen 3.8 Max, GLM 5.2, and Moonshot Kimi k3.
OpenThoughts Dataset Collection (open-thoughts/OpenThoughts-114k):
- Upstream source for deep deliberative reasoning structures, multi-phase hypothesis exploration, and formal mathematical problem distributions.
OpenMLE-SFT & Bespoke-Stratos Collections:
- OpenMLE/OpenMLE-SFT-Traces: Real-world execution-grounded software engineering traces and programmatic AST problem verification.
- Bespoke-Stratos-17k (Bespoke Labs): Structured multi-step reasoning traces and reasoning verification paradigms.
LIMA Research (Zhou et al., NeurIPS 2023, Meta AI):
- Theoretical framework demonstrating that alignment is primarily driven by prompt diversity, structural purity, and surface format rather than raw sample volume.

All synthesized and curated traces in this repository maintain compliance with upstream licenses (Apache 2.0 / MIT) and were strictly deduplicated against common benchmark suites using 8-gram MinHash decontamination.

🔗 Related Thinking Cap Datasets

🌟 Thinking Cap Curricula Complete: Curated and audited SFT (13.5k) and SimPO (3.2k) ready for immediate fine-tuning.
⚡ Thinking Cap LIMA Hyper-Dense: Top 5.5k SFT + 2k SimPO pairs for budget-friendly alignment.

License & Citation

This dataset is released under the Apache 2.0 License.

@dataset{thinking_cap_tier_raw_traces_2026,
  author = {Davd-b01},
  title = {Thinking Cap Tier Raw Traces: Distributed Best-of-N Candidate Pool (TCS v4)},
  year = {2026},
  publisher = {Hugging Face},
  url = {https://huggingface.co/datasets/Davd-b01/thinking-cap-tier-raw-traces}
}

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