Paper Citation Record · LEDGER

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning

As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2510.27568.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2510.27568 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:57:16.803020Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

verified exact0
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9c9116f-f987-469d-9580-b250af743782 · outbound

This paper cites AgentVerse: Facilitating Multi-Agent Collaboration and Exploring Emergent Behaviors.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning AgentVerse: Facilitating Multi-Agent Collaboration and Exploring Emergent Behaviors

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:14.236782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39b38621-480f-427f-94f1-7515da60ed9b · outbound

This paper cites The Llama 3 Herd of Models.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning The Llama 3 Herd of Models

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:14.682646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae7eef09-fd59-44fd-9bf2-e14e64896cdd · outbound

This paper cites GPT-4o System Card.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning GPT-4o System Card

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:14.868533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff746184-c6a1-4861-a7a6-fb377f703ad6 · outbound

This paper cites Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learning.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.004173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 105f897d-edbb-48ad-bfb8-39e71f6f8640 · outbound

This paper cites Step-KTO: Optimizing Mathematical Reasoning through Stepwise Binary Feedback.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Step-KTO: Optimizing Mathematical Reasoning through Stepwise Binary Feedback

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.159486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2ed872f-f4da-49d6-ac4e-f0513ba196d0 · outbound

This paper cites https:// openai.com/index/introducing-o3-and-o4-mini/.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning https:// openai.com/index/introducing-o3-and-o4-mini/

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.271983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c49e4416-ce9b-4b07-b645-740a053da911 · outbound

This paper cites Scaling Large Language Model-based Multi-Agent Collaboration.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Scaling Large Language Model-based Multi-Agent Collaboration

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.395204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ce586f6-7f50-4f1f-b998-8b008b21e393 · outbound

This paper cites Qwen2.5 Technical Report.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Qwen2.5 Technical Report

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.528597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 924d88e7-4bdf-4262-b4b4-3fb9cca5b37a · outbound

This paper cites GPQA: A Graduate-Level Google-Proof Q&A Benchmark.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning GPQA: A Graduate-Level Google-Proof Q&A Benchmark

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.683625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d901d72-7360-4ee7-994c-5de564539b09 · outbound

This paper cites Iterative Self-Incentivization Empowers Large Language Models as Agentic Searchers.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Iterative Self-Incentivization Empowers Large Language Models as Agentic Searchers

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:15.870446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bce88ff-83e7-4b1d-ac9e-3ded845d3cf5 · outbound

This paper cites AutoTIR: Autonomous Tools Integrated Reasoning via Reinforcement Learning.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning AutoTIR: Autonomous Tools Integrated Reasoning via Reinforcement Learning

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:16.012421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c3270e2-1e94-4778-a33f-8dba5b81254e · outbound

This paper cites Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:16.150764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d58a5c61-c0a5-4142-9673-253d1e27afb8 · outbound

This paper cites LLaMA-Berry: Pairwise Optimization for O1-like Olympiad-Level Mathematical Reasoning.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning LLaMA-Berry: Pairwise Optimization for O1-like Olympiad-Level Mathematical Reasoning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:16.504758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f8e2da5-352b-4666-8732-73fc1e2c4db7 · outbound

This paper cites an unresolved cited work.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:16.626672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13c063de-c66f-4ad7-b446-c4c7140473eb · outbound

This paper cites The COMPLETENESS agent verifies the so- lution by searching for alternative calculation methods and cross-validation approaches to ensure no steps were missed.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning The COMPLETENESS agent verifies the so- lution by searching for alternative calculation methods and cross-validation approaches to ensure no steps were missed

Reference 880

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:16.803020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b886c3b-6a23-40d2-b553-02b8bab16222 · outbound

This paper cites ReAct: Synergizing Reasoning and Acting in Language Models.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning ReAct: Synergizing Reasoning and Acting in Language Models

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:16.345134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cece4799-e7d4-4a00-ac40-9ee82950d5c8 · outbound

This paper cites ReConcile: Round-Table Conference Improves Reasoning via Consensus among Diverse LLMs.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning ReConcile: Round-Table Conference Improves Reasoning via Consensus among Diverse LLMs

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:14.098877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4a54334-d434-4f52-9037-dac77fc92685 · outbound

This paper cites Large Language Models for Mathematical Analysis.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning Large Language Models for Mathematical Analysis

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:14.411019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f55595f0-dc6c-45ce-94ed-69276e7f79ce · outbound

This paper cites DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning.

SIGMA: Search-Augmented On-Demand Knowledge Integration for Agentic Mathematical Reasoning DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-04T06:57:14.548932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.