Knowledge-to-Verification: Exploring RLVR for LLMs in Knowledge-Intensive Domains
Pith reviewed 2026-05-20 10:16 UTC · model grok-4.3
The pith
K2V extends RLVR to knowledge-intensive domains by automating verifiable reasoning data synthesis and checking the full process rather than final answers alone.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We introduce the Knowledge-to-Verification (K2V) framework that extends RLVR to knowledge-intensive domains through automated verifiable data synthesis while enabling verification of the LLM's reasoning process. This addresses data scarcity and the limitations of final-answer-only rewards that produce flawed intermediate reasoning and sparse training signals. Extensive experiments show that K2V improves reasoning performance in knowledge-intensive domains without significantly compromising the model's general capabilities, indicating that automated synthesis paired with reasoning verification offers a viable path for broader domains.
What carries the argument
The K2V framework, which performs automated synthesis of verifiable reasoning chains and incorporates step-by-step process verification into the RLVR reward model.
If this is right
- LLMs produce more reliable step-by-step reasoning on factual and domain-specific tasks.
- Training no longer depends primarily on manually created verifiable datasets.
- Sparse final-answer rewards are replaced by denser process-level signals.
- The same synthesis-plus-verification pattern can be reused across additional knowledge-heavy applications.
Where Pith is reading between the lines
- The synthesis technique may transfer to other training methods such as supervised fine-tuning or preference optimization.
- Domains like scientific literature or regulatory compliance could benefit from similar automated verification pipelines.
- Combining K2V with external knowledge retrieval systems could further strengthen the quality of the synthesized chains.
Load-bearing premise
The automated synthesis process produces reasoning chains that are high-quality, verifiable, and representative of real knowledge-intensive domain demands rather than introducing artifacts or oversimplifications.
What would settle it
If K2V-trained models show no gains on knowledge-intensive benchmarks or clear drops on general capability tests relative to standard RLVR or supervised baselines, the central claim would not hold.
Figures
read the original abstract
Reinforcement learning with verifiable rewards (RLVR) has demonstrated promising potential to enhance the reasoning capabilities of large language models (LLMs) in domains such as mathematics and coding. However, its applications on knowledge-intensive domains have not been effectively explored due to the scarcity of high-quality verifiable data. Furthermore, current RLVR focuses solely on the correctness of final answers, leading to the limitations of flawed reasoning and sparse reward signals. In this work, we propose Knowledge-to-Verification (K2V), a framework that extends RLVR to knowledge-intensive domains through automated verifiable data synthesis, while enabling verification of the LLM's reasoning process. Extensive experiments demonstrate that K2V enhances the reasoning of LLM in knowledge-intensive domains without significantly compromising the model's general capabilities. This study also suggests that integrating automated data synthesis with reasoning verification is a promising direction to enhance model capabilities in these broader domains. Code is available at https://github.com/SeedScientist/K2V.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces Knowledge-to-Verification (K2V), a framework extending RLVR to knowledge-intensive domains via automated synthesis of verifiable reasoning chains. This enables process-level verification beyond final-answer correctness. The central empirical claim is that K2V improves LLM reasoning in knowledge-intensive domains while preserving general capabilities, supported by extensive experiments and an open-source implementation.
Significance. If the synthesis pipeline produces reasoning chains whose verification signals and complexity genuinely match authentic knowledge-intensive tasks, the work would meaningfully broaden RLVR applicability beyond mathematics and coding. The process-verification component addresses a known limitation of outcome-only rewards and the reproducible code release strengthens the contribution.
major comments (2)
- [§3] §3 (Automated Synthesis): the description of the data-generation pipeline does not specify whether external grounding (e.g., retrieval from knowledge bases) or LLM self-generation is used; without this, it is impossible to evaluate the skeptic concern that the resulting chains may be artifactually simplified or easier to verify than real domain demands.
- [§4] §4 (Experiments): the reported gains lack accompanying verification accuracy metrics for the synthesized chains, baseline implementation details, and statistical controls (e.g., multiple seeds, effect sizes, or significance tests) for the claim that general capabilities are not compromised; these omissions make it difficult to rule out post-hoc selection or distribution shift artifacts.
minor comments (2)
- [Abstract] Abstract: the phrase 'extensive experiments' is used without any quantitative summary or domain list, reducing informativeness for readers.
- [§2] Notation: the distinction between 'verifiable reasoning chains' and standard chain-of-thought is introduced but not formalized with a precise definition or example in the early sections.
Simulated Author's Rebuttal
We thank the referee for the constructive feedback and detailed comments on our manuscript. We address each major comment below in a point-by-point manner. Revisions have been made to clarify the synthesis pipeline and to strengthen the experimental reporting with additional metrics and controls.
read point-by-point responses
-
Referee: [§3] §3 (Automated Synthesis): the description of the data-generation pipeline does not specify whether external grounding (e.g., retrieval from knowledge bases) or LLM self-generation is used; without this, it is impossible to evaluate the skeptic concern that the resulting chains may be artifactually simplified or easier to verify than real domain demands.
Authors: We appreciate the referee's observation regarding the lack of explicit detail on the grounding mechanism. The synthesis pipeline in the original manuscript is based on LLM self-generation using domain-specific prompts derived from the source knowledge, combined with iterative self-verification steps to produce reasoning chains. No external knowledge base retrieval is employed. We have revised Section 3 to state this explicitly and added a discussion paragraph acknowledging the risk of artifactual simplification relative to authentic domain tasks, along with future directions for retrieval-augmented variants. This clarification should allow readers to better assess the skeptic concern. revision: yes
-
Referee: [§4] §4 (Experiments): the reported gains lack accompanying verification accuracy metrics for the synthesized chains, baseline implementation details, and statistical controls (e.g., multiple seeds, effect sizes, or significance tests) for the claim that general capabilities are not compromised; these omissions make it difficult to rule out post-hoc selection or distribution shift artifacts.
Authors: We agree that these details were insufficient in the original submission. In the revised manuscript, we now report verification accuracy metrics for the synthesized chains (measured via independent LLM judges and human spot-checks on a subset), provide fuller baseline implementation details (including hyperparameters and prompt templates), and include statistical controls: results are averaged over 5 random seeds, with effect sizes (Cohen's d) and significance tests (paired t-tests with p-values) for both domain-specific gains and preservation of general capabilities. These additions reduce the possibility of post-hoc selection or shift artifacts. revision: yes
Circularity Check
No significant circularity; empirical claims rest on new synthesis and experiments
full rationale
The paper introduces the K2V framework for RLVR in knowledge-intensive domains through automated verifiable data synthesis and process verification. Its strongest claims are backed by extensive experiments demonstrating improved reasoning without compromising general capabilities. No load-bearing steps reduce by construction to fitted inputs, self-definitions, or self-citation chains; the central results derive from external evaluation on synthesized data rather than renaming or re-deriving prior outputs. The work is self-contained against benchmarks, with the synthesis step presented as a methodological contribution rather than a tautological fit.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Automated synthesis can generate questions and reasoning chains whose correctness is reliably checkable by rule-based or model-based verifiers.
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
K2V ... automated verifiable data synthesis ... fill-blank style verification ... checklist-style verification ... answer-gated reward mechanism
-
IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
Extensive experiments ... agriculture, law, and medicine
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.
Reference graph
Works this paper leans on
-
[1]
Training Verifiers to Solve Math Word Problems
Training verifiers to solve math word prob- lems.CoRR, abs/2110.14168. OpenCompass Contributors. 2023. Opencompass: A universal evaluation platform for foundation models. https://github.com/open-compass/ opencompass. Thomas H Cormen, Charles E Leiserson, Ronald L Rivest, and Clifford Stein. 2022.Introduction to algorithms. MIT press. Ganqu Cui, Lifan Yuan...
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[2]
Process Reinforcement through Implicit Rewards
Process reinforcement through implicit re- wards.CoRR, abs/2502.01456. Bhishma Dedhia, Yuval Kansal, and Niraj K Jha. 2025. Bottom-up domain-specific superintelligence: A re- liable knowledge graph is what we need.arXiv preprint arXiv:2507.13966. Yann Dubois, Chen Xuechen Li, Rohan Taori, Tianyi Zhang, Ishaan Gulrajani, Jimmy Ba, Carlos Guestrin, Percy S ...
work page internal anchor Pith review Pith/arXiv arXiv 2025
-
[3]
Measuring Massive Multitask Language Understanding
Measuring massive multitask language under- standing.arXiv preprint arXiv:2009.03300. Dan Hendrycks, Collin Burns, Saurav Kadavath, Akul Arora, Steven Basart, Eric Tang, Dawn Song, and Ja- cob Steinhardt. 2021. Measuring mathematical prob- lem solving with the math dataset.arXiv preprint arXiv:2103.03874. Aidan Hogan, Eva Blomqvist, Michael Cochez, Clau- ...
work page internal anchor Pith review Pith/arXiv arXiv 2009
-
[4]
Seongyun Lee, Hyunjae Kim, and Jaewoo Kang
A survey on recent advances in named entity recognition.arXiv preprint arXiv:2401.10825. Seongyun Lee, Hyunjae Kim, and Jaewoo Kang. 2023. Liquid: A framework for list question answering dataset generation. InProceedings of the AAAI Con- ference on Artificial Intelligence, volume 37, pages 13014–13024. Haonan Li, Yixuan Zhang, Fajri Koto, Yifei Yang, Hai ...
-
[5]
InThe Twelfth Inter- national Conference on Learning Representations
Let’s verify step by step. InThe Twelfth Inter- national Conference on Learning Representations. Zichen Liu, Changyu Chen, Wenjun Li, Penghui Qi, Tianyu Pang, Chao Du, Wee Sun Lee, and Min Lin
-
[6]
Understanding R1-Zero-Like Training: A Critical Perspective
Understanding r1-zero-like training: A critical perspective.arXiv preprint arXiv:2503.20783. Yuxing Lu, Wei Wu, Xukai Zhao, Rui Peng, and Jinzhuo Wang. Karma: Leveraging multi-agent llms for auto- mated knowledge graph enrichment. InThe Thirty- ninth Annual Conference on Neural Information Pro- cessing Systems. Michael Luo, Sijun Tan, Roy Huang, Ameen Pat...
work page internal anchor Pith review Pith/arXiv arXiv 2025
-
[7]
Training language models to follow instruc- tions with human feedback. InAdvances in Neural Information Processing Systems 35: Annual Confer- ence on Neural Information Processing Systems 2022, NeurIPS 2022, New Orleans, LA, USA, November 28 - December 9, 2022. Shirui Pan, Linhao Luo, Yufei Wang, Chen Chen, Ji- apu Wang, and Xindong Wu. 2024. Unifying lar...
-
[8]
Bern2: an advanced neural biomedical named entity recognition and normalization tool.Bioinfor- matics, 38(20):4837–4839. Mirac Suzgun, Nathan Scales, Nathanael Schärli, Se- bastian Gehrmann, Yi Tay, Hyung Won Chung, Aakanksha Chowdhery, Quoc Le, Ed Chi, Denny Zhou, and Jason Wei. 2023. Challenging BIG-bench tasks and whether chain-of-thought can solve the...
-
[9]
For en- tity recognition, we used spaCy (Honnibal et al.,
method as our baseline, which consists of four stages: answer extraction, question generation, iterative filtering, and answer expansion. For en- tity recognition, we used spaCy (Honnibal et al.,
-
[10]
and BERN2 (Sung et al., 2022) to iden- tify general-domain and biomedical entities respec- tively, employing the same corpus as our K2V method. While default models were applied in all model-dependent stages, we replaced them with structurally similar Chinese-adapted models for Table 7: Key hyperparameters for model training in verl. Hyperparameter Value ...
work page 2022
-
[11]
as a baseline, following its three-stage pipeline of content preparation, generation, and filtering. To ensure a fair comparison with our K2V method, we employ Qwen2.5-72B-Instruct for the generation stage. We slightly modify the original prompts to improve the verifiability of the generated data, making it better suited for RLVR. Since the official sourc...
-
[12]
as a baseline, which consists of three stages: (1) Content Preparation: We construct a knowl- edge graph and systematically extract 4-node sim- ple paths (3-hop relations) as logical chains for question generation. To ensure computational fea- sibility, we limit the maximum number of paths to 20,000 and restrict source nodes to those with outgoing edges, ...
-
[13]
Accurately identifies the gene responsible for CMT2C as TRPV4
-
[14]
Correctly states that the TRPV4 gene is located on chromosome 12q23-24
-
[15]
Describes the role of the TRPV4 protein in calcium signaling and mechanosensation
-
[16]
States that mutations in the TRPV4 gene lead to CMT2C and other neurological and musculoskeletal disorders
-
[17]
Explains that the dysfunction of the TRPV4 protein due to genetic mutations is a key factor in the development of CMT2C and its related symptoms
-
[19]
Figure 4: The first case of K2V
he overall response is well-structured, logically coherent, and clearly written, avoiding self-contradictions and redundant statements. Figure 4: The first case of K2V . Question: { } is a critical aspect of gene expression regulation that occurs after the RNA has been transcribed. This process encompasses several key steps, including mRNA processing, spl...
-
[20]
Accurately defines post-transcriptional control as a critical aspect of gene expression regulation that occurs after RNA has been transcribed
-
[21]
Clearly describes the key steps involved in post-transcriptional control, including mRNA processing, splicing, export, turnover, and translational control
-
[22]
Correctly explains mRNA turnover as a crucial component of post-transcriptional control, involving the degradation of mRNA molecules to regulate the amount of mRNA available for translation
-
[23]
Accurately describes translational control as another essential process in post- transcriptional control, involving the regulation of mRNA translation into proteins to ensure the correct amount and type of proteins are produced
-
[24]
Explains the role of mRNA-binding proteins in post-transcriptional control, including their function in regulating mRNA stability, transport, and translation
-
[25]
Uses appropriate biological terminology and concepts to describe the processes involved in post-transcriptional control
-
[26]
Figure 5: The second case of K2V
Avoids over-extrapolation or unfounded speculation beyond the scope of the given information. Figure 5: The second case of K2V . Question: The { }, located in the lower medulla oblongata, plays a crucial role in processing sensory information from the lower half of the body, particularly for touch and proprioception. This nucleus receives input from large...
-
[27]
Correctly identifies the gracile nucleus as the structure located in the lower medulla oblongata
-
[28]
Accurately describes the role of the gracile nucleus in processing sensory information, specifically for touch and proprioception
-
[29]
Correctly states that the gracile nucleus receives input from larger fibers ascending through the posterior and posterolateral columns of the spinal cord on the same side
-
[30]
Clearly explains that once these fibers reach the gracile nucleus, they synapse, and the axons of the second-order neurons arise from this nucleus
-
[31]
Correctly describes the decussation (crossing over) of the axons of the second-order neurons to the contralateral side
-
[32]
Accurately states that the axons of the second-order neurons continue their journey to the thalamus, forming part of the lemniscal pathway
-
[33]
Figure 6: The third case of K2V
Avoids irrelevant information and focuses on answering the question directly. Figure 6: The third case of K2V . Question 1: What is the name of the gene that controls the sheath purple color ? Ground truth 1: P urple Sh eath1, PSH1 Question 2: Before being arrested, who had the right to hire a lawyer ? Ground truth 2: Accused, Defendant, Family member Que...
-
[34]
Following a clear logical flow and structure
-
[35]
Establishing proper cause-and-effect relationships
-
[36]
Ensuring temporal and sequential consistency
-
[37]
Creating smooth transitions between ideas using conjunctions and appropriate linking words like ‘firstly,’ ‘how- ever,’ ‘therefore,’ etc. —Instructions—
-
[38]
Analyze the provided ENTITIES and RELATIONSHIPS carefully to identify: - Key concepts and their hierarchies - Temporal sequences and chronological order - Cause-and-effect relationships - Dependencies between different elements
-
[39]
Organize the information in a logical sequence by: - Starting with foundational concepts - Building up to more complex relationships - Grouping related ideas together - Creating clear transitions between sections
-
[40]
Rephrase the text while maintaining: - Logical flow and progression - Clear connections between ideas - Proper context and background - Coherent narrative structure
-
[41]
Review and refine the text to ensure: - Logical consistency throughout - Clear cause-and-effect relationships ################ -ENTITIES- ################ {entities} ################ -RELATIONSHIPS- ################ {relationships} Table 13: Prompt of the Ftext. This prompt is used to instructs an LLM to convert the masked quintuple into a fill-blank styl...
-
[42]
Identify all entities. For each identified entity, extract the following information: - entity_name: Name of the entity, use same language as input text. If English, capitalized the name. - entity_type: One of the following types: concept, date, location, keyword, organization, person, event, work, nature, artificial, science, technology, mission, gene - ...
-
[43]
From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other. For each pair of related entities, extract the following information: - source_entity: name of the source entity, as identified in step 1 - target_entity: name of the target entity, as identified in step 1 - relationship_s...
-
[44]
Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.Format the content-level key words as("content_keywords"<|><high_level_keywords>)
-
[45]
Use **##** as the list delimiter
Return output in Englist as a single list of all the entities and relationships identified. Use **##** as the list delimiter
-
[46]
{ }" indicating the content to be filled in. A fill-in-the-blank question may contain multiple
When finished, output<|COMPLETE|> ################ -Input Text- ################ {input_text} Table 14: Prompt for NER and RE. This prompt is used to instruct an LLM to extract entities and relations from the corpus. Prompt of the Judge Model You are an impartial and meticulous AI examiner. Your task is to evaluate a student’s [Reasoning Process] for a gi...
-
[55]
Evaluates the validity or potential flaws of a given experimental design. Statistics and Evaluation:
-
[64]
The overall response is well-structured, logically coherent, and clearly written, avoiding self-contradictions and redundant statements. Based on the [General Criteria] above, design a set of detailed and objectively scorable checklist for the provided [Specific Exam Question]. The checklist will be used to evaluate the student’s problem-solving approach ...
-
[65]
Accurately defines the core biological concepts involved in the question
-
[66]
Clearly describes the involved biological processes in the correct logical sequence
-
[67]
Accurately explains the meaning and relationships represented by abstract biological models in words
-
[68]
Applies abstract biological concepts to the given specific scenario
-
[69]
Correctly explains the connection between a biological concept or process and other related principles. Scientific Method and Design:
-
[83]
Predicts the likely consequences of a change (e.g., disturbance, mutation) to a system based on biological principles
-
[84]
Explains the underlying biological reason for an observed phenomenon or experimental result
-
[86]
Table 17: General criteria in the agricultural domain
The overall response is well-structured, logically coherent, and clearly written, avoiding self-contradictions and redundant statements. Table 17: General criteria in the agricultural domain. General criteria in the medical domain Concepts and Knowledge:
-
[87]
Accurately defines the core medical concepts involved in the question
-
[88]
Clearly describes the involved medical processes in the correct logical sequence
-
[89]
Accurately explains the meaning and relationships represented by abstract biological or medical models in words
-
[90]
Applies abstract biological or medical concepts to the given specific scenario
-
[91]
Correctly explains the connection between a medical concept or process and other related principles. Scientific Method and Design:
-
[92]
Clearly states a relevant null hypothesis or alternative hypothesis
-
[93]
Accurately identifies the independent, dependent, and key control variables of an experiment
-
[94]
Makes a logical and reasonable prediction of the experimental outcome based on a scientific hypothesis
-
[95]
Evaluates the validity or potential flaws of a given experimental design. Data Processing and Analysis:
-
[96]
Accurately and correctly extracts key data points
-
[97]
Clearly and comprehensively describes the overall trend or significant patterns in the given data
-
[98]
Accurately describes the relationship between variables (e.g., positive correlation, negative correlation, no correlation)
-
[99]
Correctly performs necessary mathematical calculations (e.g., rate, rate of change, percentage) to support the analysis. Statistics and Evaluation:
-
[100]
In appropriate contexts, correctly uses statistical concepts to explain the reliability of data
- [101]
-
[102]
Explains outliers or anomalous data points and analyzes their potential causes or impact on the conclusion. Argumentation and Reasoning:
-
[103]
Makes a scientific claim that is specific and supported by concrete evidence
-
[104]
Clearly articulates how the evidence supports the scientific claim, demonstrating a strong logical chain
-
[105]
Predicts the likely consequences of a change (e.g., disturbance, mutation) to a system based on biological or medical principles
-
[106]
Explains the underlying biological or medical reason for an observed phenomenon or experimental result
-
[107]
Avoids over-extrapolation or unfounded speculation beyond the scope of the given evidence
-
[108]
Based on diagnostic or analytical results, proposes specific and feasible treatment or management recommenda- tions that comply with clinical guidelines and ethical principles
-
[109]
Clearly articulates the rationale for the proposed recommendations and weighs their potential benefits and risks
-
[110]
Be able to ignore irrelevant information and focus on answering the question directly
-
[111]
The overall response is well-structured, logically coherent, and clearly written, avoiding self-contradictions and redundant statements. Table 18: General criteria in the medical domain General criteria in the legal domain Fact and Issue Identification:
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.