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Paper Citation Record · LEDGER

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning

As of 6 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2604.08281.

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

pith.paper-citation-record.v1
2604.08281 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:40:04.944348Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

31 of 31 outbound references displayed

  • verified exact8
  • verified fuzzy0
  • unresolved0
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  • malformed identifier0
  • metadata mismatch23

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dd53767b-748b-4471-9dbd-f3016e2aa60a · outbound

This paper cites Towards Effective Code-Integrated Reasoning.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Towards Effective Code-Integrated Reasoning

Reference 1

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metadata mismatch
arxiv_id, observed 2026-05-11T00:10:52.038322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:49dc949bae2cf032a9837eee41d415819f5984682537a99171459b7b12730ea1

Observation cd8f44a1-6b22-4fc3-a655-6db80bec34ac · outbound

This paper cites Advancing Tool-Augmented Large Language Models: Integrating Insights from Errors in Inference Trees.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Advancing Tool-Augmented Large Language Models: Integrating Insights from Errors in Inference Trees

Reference 2

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arxiv_id, observed 2026-05-11T00:10:52.005112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:fd1ea54513a276d8cfbc671fa551c6ea98dc32bd54b5f055afb1aa14c79c8b5d

Observation 6bc8e2bb-e8d0-4ba4-b5f2-eeaec112af9a · outbound

This paper cites Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Tasks.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Tasks

Reference 3

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arxiv_id, observed 2026-05-12T16:48:28.215201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:3928463681665990d406e398def13c8187f332b1dc5441186c954f1f7d52747c

Observation bffedbb6-2733-4bce-bb74-cceabf811d40 · outbound

This paper cites Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities

Reference 4

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local_arxiv, observed 2026-05-11T00:10:51.967269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:623e869526d0e75972f32939829f33c1062cdab500e8b6dce0faa721e470c841

Observation c0930de6-4bba-4113-8d27-c6b468b153e4 · outbound

This paper cites ReTool: Reinforcement Learning for Strategic Tool Use in LLMs.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning ReTool: Reinforcement Learning for Strategic Tool Use in LLMs

Reference 5

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arxiv_id, observed 2026-05-13T18:42:39.160125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:e1f4865d51a40e17ed3bb53e535a96dea50a7d70318dd97358a9ae5052081cbf

Observation d68304a6-81f7-4faa-993a-71171eb4145e · outbound

This paper cites ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Reference 6

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arxiv_id, observed 2026-05-19T09:19:36.299641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:77193ae9213d766e31a0c8d5c62886b21559cf9fc0ff856c200c18195b7acb99

Observation 33ff1095-b5be-4636-983c-d8d5474d34db · outbound

This paper cites OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems

Reference 7

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arxiv_id, observed 2026-05-11T08:38:21.105975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:c3332b3a0962fb19bba4b77dedb40f5a7064e6df94614709097312051b073006

Observation 7023ca10-0f45-42eb-ae76-9d80afed8f29 · outbound

This paper cites Measuring Mathematical Problem Solving With the MATH Dataset.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Measuring Mathematical Problem Solving With the MATH Dataset

Reference 8

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local_arxiv, observed 2026-05-11T00:10:51.809554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:e3053cad2acf0607951ddd3add9d7d996fd3b07f01aa84c3adae74b20b60a6b3

Observation dd95223d-b222-4984-a9d0-b17a751b4e90 · outbound

This paper cites A Survey of Test-Time Compute: From Intuitive Inference to Deliberate Reasoning.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning A Survey of Test-Time Compute: From Intuitive Inference to Deliberate Reasoning

Reference 9

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arxiv_id, observed 2026-05-11T00:10:51.833091Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:827246ef6f211c610207b595b9a975197f604a2d2bf1c30aa68dcf78fca50506

Observation c847739a-4edf-41da-9f3d-64a043f6aa25 · outbound

This paper cites Verltool: Towards holistic agentic reinforcement learning with tool use.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Verltool: Towards holistic agentic reinforcement learning with tool use

Reference 10

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arxiv_id, observed 2026-05-11T00:10:51.862893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:74f6500c45ea3b814dc038307de74a4810b9e79dc8eeef73ef260750292f9cc9

Observation 8bd07ec3-655d-4c5e-84b1-1a69196829ea · outbound

This paper cites Solving Quantitative Reasoning Problems with Language Models.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Solving Quantitative Reasoning Problems with Language Models

Reference 11

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arxiv_id, observed 2026-05-12T22:43:59.458883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:9a08ad718f64f07269b1fd711c5af9c159ca2d5f9f062b58c4b669d39f50f9cb

Observation 706f8afb-266d-4440-9298-f4ad4fa4182c · outbound

This paper cites ToRL: Scaling Tool-Integrated RL.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning ToRL: Scaling Tool-Integrated RL

Reference 12

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arxiv_id, observed 2026-05-11T00:10:51.855593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:e2e00cb73c50bd72f49221bc609e95f3504c07328f26e9eccc055822d8c358ba

Observation dd5ff0f8-0efb-4d9c-bd16-252e30423efd · outbound

This paper cites MARIO: MAth Reasoning with code Interpreter Output -- A Reproducible Pipeline.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning MARIO: MAth Reasoning with code Interpreter Output -- A Reproducible Pipeline

Reference 13

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arxiv_id, observed 2026-05-11T00:10:51.842353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:49c850a719a43b62cad743a5231f1136bba92105cf090820223326375be54455

Observation 6217a3c3-343b-4917-99df-1cf683c119fe · outbound

This paper cites Understanding Tool-Integrated Reasoning.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Understanding Tool-Integrated Reasoning

Reference 14

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arxiv_id, observed 2026-05-11T00:10:51.828913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:b893d8f2edbfdaa5c1215ade95fc515e3968c0c524a9f98af09d08a46fc102cf

Observation 055f80da-9432-42e1-97d7-410cc339086d · outbound

This paper cites Understanding R1-Zero-Like Training: A Critical Perspective.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Understanding R1-Zero-Like Training: A Critical Perspective

Reference 15

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verified exact
arxiv_id, observed 2026-05-11T00:10:52.010740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:997c44a470def8ad746b08ab7897a6892dabc7946e14eed9c652a23ae797831f

Observation d7254d70-0eb1-4616-821b-3653dcc955c6 · outbound

This paper cites OpenAI o1 System Card.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning OpenAI o1 System Card

Reference 16

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local_arxiv, observed 2026-05-11T00:10:52.019493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:a3fd0b413ae71065284dcd1d54131a3cbfde31b7c2f8ac4449a01fe9764457fe

Observation 2c8aa046-6906-4a42-be86-8edecfbf0fd4 · outbound

This paper cites SMART: Self-Aware Agent for Tool Overuse Mitigation.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning SMART: Self-Aware Agent for Tool Overuse Mitigation

Reference 17

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arxiv_id, observed 2026-05-11T00:10:51.814683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:e2fdbaf2298b6e9d911785eeaa6b815ae05b972f9aa668fa581bfbb8b8594aef

Observation d11f3304-90ae-4035-a176-e495a08f3d0d · outbound

This paper cites Investigate-Consolidate-Exploit: A General Strategy for Inter-Task Agent Self-Evolution.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Investigate-Consolidate-Exploit: A General Strategy for Inter-Task Agent Self-Evolution

Reference 18

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arxiv_id, observed 2026-05-11T00:10:51.987975Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:c0d49aa9ca92b35323d3ae0d135e6e45a4736948e61662577c91c8021d080a22

Observation addcfd2e-eb33-427d-a661-d6946ce149b3 · outbound

This paper cites Toolformer: Language Models Can Teach Themselves to Use Tools.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Toolformer: Language Models Can Teach Themselves to Use Tools

Reference 19

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local_arxiv, observed 2026-05-11T00:10:51.846542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:93f070cc52931fd8f747da96b3c1a0fe0c46c6c5f0540b7da9b13fdd3005a448

Observation 2638a5f5-5176-4f85-9fef-8c46abadfa1b · outbound

This paper cites DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 20

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local_arxiv, observed 2026-05-11T00:10:51.922002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:011f25bc9db798f179276a93622a3def7f4cc10f520c0eb864c350116782a272

Observation 441af691-9c6f-4d35-b3fc-0d254c6c9a3c · outbound

This paper cites AURORA:Automated Training Framework of Universal Process Reward Models via Ensemble Prompting and Reverse Verification.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning AURORA:Automated Training Framework of Universal Process Reward Models via Ensemble Prompting and Reverse Verification

Reference 21

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arxiv_id, observed 2026-05-11T00:10:51.888146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:f9b7353a3a9f4d7407a36f05b46a3dd4196800b12ea0a35ff731e2e2f8bd44e1

Observation e4b0f791-657c-4041-93fe-aa3fc1ee980a · outbound

This paper cites Kimi k1.5: Scaling Reinforcement Learning with LLMs.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Kimi k1.5: Scaling Reinforcement Learning with LLMs

Reference 22

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local_arxiv, observed 2026-05-11T00:10:51.880855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:80052e774e43200a34e122408d6ed995c24c85c45e202c1d869b8f0d34412356

Observation 7d5c51e3-d35e-41d7-a2d4-336af7aa145a · outbound

This paper cites Self-DC: When to Reason and When to Act? Self Divide-and-Conquer for Compositional Unknown Questions.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Self-DC: When to Reason and When to Act? Self Divide-and-Conquer for Compositional Unknown Questions

Reference 23

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arxiv_id, observed 2026-05-11T00:10:52.001074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:7b55bee4592c6f7f7ad33bb5b97019093747bd8112fe4b7dcf0cceffc85a5369

Observation 89d6c9af-5f35-4ab9-8d2f-62e75f435b0e · outbound

This paper cites MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Reference 24

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metadata mismatch
arxiv_id, observed 2026-05-11T00:10:52.026754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:fdc6cb4226c34d7a85fd6057749dc2867e0cace74aa06c120965d2578ea1388f

Observation 560baf11-4602-4904-9981-a6ab9380935c · outbound

This paper cites SimpleTIR: End-to-End Reinforcement Learning for Multi-Turn Tool-Integrated Reasoning.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning SimpleTIR: End-to-End Reinforcement Learning for Multi-Turn Tool-Integrated Reasoning

Reference 25

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verified exact
arxiv_id, observed 2026-05-11T00:10:51.983542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:fda8dba50b32d27feac77ed732074234e58a7aea23b6a81e20f07ba4787f574d

Observation 39d359b2-6d68-430e-a9b4-e6a8baa593d4 · outbound

This paper cites Qwen3 Technical Report.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Qwen3 Technical Report

Reference 26

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verified exact
local_arxiv, observed 2026-05-11T00:10:51.909980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:6b11ee22acb6d0806fee9ee3bb7ec7761925eac3b7bc39de2d3727966fc7b104

Observation 77eee5fb-cf38-463a-953c-49625c040928 · outbound

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

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning ReAct: Synergizing Reasoning and Acting in Language Models

Reference 27

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verified exact
local_arxiv, observed 2026-05-11T00:10:51.957290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:69ddc8661d03ffc558f19235ecb6ecf3d356803d48b34a02a3a1f1a6132753c9

Observation ca26a0d6-a4d6-43d0-a853-ce322c4ec1b2 · outbound

This paper cites CRAFT: Customizing LLMs by Creating and Retrieving from Specialized Toolsets.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning CRAFT: Customizing LLMs by Creating and Retrieving from Specialized Toolsets

Reference 28

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metadata mismatch
arxiv_id, observed 2026-05-11T00:10:52.030923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:1b5628a2fb311271968e6f0f5ada8f416f7d3cf54c55c66b7d5957fa93f6ec43

Observation eea5b48b-db5d-4ab1-973a-4f75a0a444ae · outbound

This paper cites Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?

Reference 29

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metadata mismatch
local_arxiv, observed 2026-05-11T00:10:51.819974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:123780dd45a24c97b21fd9d47c79eb870dd28012615b00e1188b08b4426ad6eb

Observation 1c7f3138-b71d-4bc3-901c-74718f55897a · outbound

This paper cites SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild

Reference 30

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verified exact
arxiv_id, observed 2026-05-13T08:21:05.971096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:340dbe5f0bc9fcc60c9ecf8cc6e76af5e7ff92123eab173a974d56d6c11ba1ad

Observation 6f568f6e-0550-458b-968a-00aa044533bb · outbound

This paper cites A Survey of Large Language Models.

When to Trust Tools? Adaptive Tool Trust Calibration For Tool-Integrated Math Reasoning A Survey of Large Language Models

Reference 31

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metadata mismatch
local_arxiv, observed 2026-05-11T00:10:51.948794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:40:04.944348Z digest=sha256:cb8d6c74313c683af93a10d078414bfc00cc8904a1ea3b88ac0a9a5231bf4944

Pith citing papers

No inbound Pith citation observations are available.