Inverse Knowledge Search over Verifiable Reasoning: Synthesizing a Scientific Encyclopedia from a Long Chains-of-Thought Knowledge Base

📅 2025-10-30
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Scientific literature often compresses reasoning processes, impeding verification and hindering cross-domain knowledge integration. To address this, we propose a verifiable long-chain reasoning knowledge base construction framework. Our method introduces an inverse knowledge search mechanism and a verifiable reasoning chain filtering framework, integrating multi-model consensus filtering, prompt purification, Socratic agent generation, the Brainstorm search engine, and the Plato synthesizer—enabling a closed loop from first-principles derivation to automated scientific article generation. The resulting SciencePedia knowledge base comprises approximately 200,000 fine-grained, semantically grounded entries, supporting high-fidelity, interdisciplinary knowledge discovery and structured integration. Experiments demonstrate that synthetically generated articles exhibit higher knowledge density and significantly lower factual error rates compared to retrieval-augmented baselines without verifiable reasoning chains. This work establishes a novel paradigm for enhancing the verifiability and transferability of scientific knowledge.

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📝 Abstract
Most scientific materials compress reasoning, presenting conclusions while omitting the derivational chains that justify them. This compression hinders verification by lacking explicit, step-wise justifications and inhibits cross-domain links by collapsing the very pathways that establish the logical and causal connections between concepts. We introduce a scalable framework that decompresses scientific reasoning, constructing a verifiable Long Chain-of-Thought (LCoT) knowledge base and projecting it into an emergent encyclopedia, SciencePedia. Our pipeline operationalizes an endpoint-driven, reductionist strategy: a Socratic agent, guided by a curriculum of around 200 courses, generates approximately 3 million first-principles questions. To ensure high fidelity, multiple independent solver models generate LCoTs, which are then rigorously filtered by prompt sanitization and cross-model answer consensus, retaining only those with verifiable endpoints. This verified corpus powers the Brainstorm Search Engine, which performs inverse knowledge search -- retrieving diverse, first-principles derivations that culminate in a target concept. This engine, in turn, feeds the Plato synthesizer, which narrates these verified chains into coherent articles. The initial SciencePedia comprises approximately 200,000 fine-grained entries spanning mathematics, physics, chemistry, biology, engineering, and computation. In evaluations across six disciplines, Plato-synthesized articles (conditioned on retrieved LCoTs) exhibit substantially higher knowledge-point density and significantly lower factual error rates than an equally-prompted baseline without retrieval (as judged by an external LLM). Built on this verifiable LCoT knowledge base, this reasoning-centric approach enables trustworthy, cross-domain scientific synthesis at scale and establishes the foundation for an ever-expanding encyclopedia.
Problem

Research questions and friction points this paper is trying to address.

Scientific materials compress reasoning and omit derivational chains
Lack of explicit step-wise justifications hinders verification processes
Collapsed logical pathways inhibit cross-domain scientific connections
Innovation

Methods, ideas, or system contributions that make the work stand out.

Generates first-principles questions via Socratic agent
Filters reasoning chains using cross-model consensus verification
Synthesizes articles from verified chains via inverse search
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