Paper Citation Record · LEDGER

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.20520.

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

pith.paper-citation-record.v1
2607.20520 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:02:57.868691Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

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unresolved31
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External citation measurements

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Outbound references

Observation ee13f71c-14f4-43b4-beac-5974c4388a92 · outbound

This paper cites Current trends and future prospects of large -scale foundation model in K -12 education,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Current trends and future prospects of large -scale foundation model in K -12 education,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.326935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3412a780-27cc-4607-a29d-79e7642dda2a · outbound

This paper cites Large Language Models for Mathematical Reasoning: Progresses and Challenges.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Large Language Models for Mathematical Reasoning: Progresses and Challenges

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.456065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc38a537-dcc0-4344-a775-1ebc695aa187 · outbound

This paper cites GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.560521Z

Source-reported events for the cited work

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Observation bb10508c-e78b-4b98-a39c-fdf11f3ffb83 · outbound

This paper cites Paraphrase and Solve: Exploring and Exploiting the Impact of Surface Form on Mathematical Reasoning in Large Language Models.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Paraphrase and Solve: Exploring and Exploiting the Impact of Surface Form on Mathematical Reasoning in Large Language Models

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.670895Z

Source-reported events for the cited work

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Observation e9e27747-a19a-4f4a-8578-a0ec4e98e91c · outbound

This paper cites The role of representation(s) in developing mathematical understanding,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving The role of representation(s) in developing mathematical understanding,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.778357Z

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Unavailable: canonical work link unavailable.

Observation 5d9ede92-347a-4c74-a1eb-05fc11af9245 · outbound

This paper cites Have llms advanced enough? a challenging problem solving benchmark for large language models,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Have llms advanced enough? a challenging problem solving benchmark for large language models,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.861733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af19e6e1-7323-4660-8006-82046d4791b1 · outbound

This paper cites Frequency norms and structural analysis of algebra story problems into families, categories, and templates,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Frequency norms and structural analysis of algebra story problems into families, categories, and templates,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.917313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa8a8196-d43f-4753-adcc-da8181d13e9e · outbound

This paper cites The real story behind story problems: Effects of representations on quantitative reasoning.,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving The real story behind story problems: Effects of representations on quantitative reasoning.,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:56.959048Z

Source-reported events for the cited work

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Observation 265529ae-a665-4032-8114-5ffdfe4f852c · outbound

This paper cites Solving quantitative reasoning problems with language models,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Solving quantitative reasoning problems with language models,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.029119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f37974a-da4b-4276-b189-43f6b9f14bae · outbound

This paper cites Stochastic LLMs do not understand language: towards symbolic, explainable and ontologically based LLMs,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Stochastic LLMs do not understand language: towards symbolic, explainable and ontologically based LLMs,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.099020Z

Source-reported events for the cited work

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Observation 2daa1b60-d174-44c2-b0c5-63d7ea8a20e4 · outbound

This paper cites PAL: Program-aided Language Models,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving PAL: Program-aided Language Models,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.169161Z

Source-reported events for the cited work

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Observation 986c21b7-7f2f-4807-90bd-05ad698b1b1c · outbound

This paper cites Toolformer: Language models can teach themselves to use tools.,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Toolformer: Language models can teach themselves to use tools.,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.238383Z

Source-reported events for the cited work

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Observation 6d869eca-ed62-4cdb-b761-ba78a0783602 · outbound

This paper cites When LLMs hallucinate: Examining the effects of erroneous feedback in math tutoring systems,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving When LLMs hallucinate: Examining the effects of erroneous feedback in math tutoring systems,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.308476Z

Source-reported events for the cited work

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Observation 2a4cd4a2-ce7d-4770-85be-58491bcb98f4 · outbound

This paper cites Chain -of-thought prompting elicits reasoning in large language models,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Chain -of-thought prompting elicits reasoning in large language models,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.354480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 816ce390-e8b9-46b1-934e-74fac7324a55 · outbound

This paper cites HCI 2026 dataset,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving HCI 2026 dataset,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.414076Z

Source-reported events for the cited work

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Observation 74d81430-816a-4fb2-81a5-68df548e3f42 · outbound

This paper cites The understanding process: Problem isomorphs,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving The understanding process: Problem isomorphs,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.518289Z

Source-reported events for the cited work

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Observation 9b7e7463-edb4-4ecb-ad38-f4c04bd83cef · outbound

This paper cites Generative testing: From conception to implementation,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Generative testing: From conception to implementation,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.609799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d40847a3-12de-41f8-a89a-0544f4695fb5 · outbound

This paper cites The role of isomorphisms in mathematical cognition,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving The role of isomorphisms in mathematical cognition,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.669651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e400a555-4353-4c6c-af66-7665b331f1d0 · outbound

This paper cites The longitudinal study,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving The longitudinal study,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.777661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 581d2d67-2fbd-4e21-91d1-0a624c6b4c19 · outbound

This paper cites FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.823644Z

Source-reported events for the cited work

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Observation b6be4590-ea96-4ee8-aa32-46dfd10bee17 · outbound

This paper cites Emergent Abilities of Large Language Models.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Emergent Abilities of Large Language Models

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.827984Z

Source-reported events for the cited work

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Observation d1bb3d71-e082-4e4e-9583-254d8de6d249 · outbound

This paper cites Scaling Laws for Neural Language Models.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Scaling Laws for Neural Language Models

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.832397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3544ef28-7c0d-411e-8762-a2a1c9f2f53c · outbound

This paper cites Benchmarking Failures in Tool-Augmented Language Models.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Benchmarking Failures in Tool-Augmented Language Models

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.836797Z

Source-reported events for the cited work

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Observation a76c6cea-8f9c-4e21-88be-f67796b211af · outbound

This paper cites Evaluating the Intelligence of large language models: A comparative study using verbal and visual IQ tests,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Evaluating the Intelligence of large language models: A comparative study using verbal and visual IQ tests,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.840882Z

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Unavailable: canonical work link unavailable.

Observation 052da4c1-cd95-4387-a7de-87afbfdd9069 · outbound

This paper cites WIP: Beyond Code: Evaluating ChatGPT, Gemini, Claude, and Meta AI as AI Tutors in Computer Science and Engineering Education,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving WIP: Beyond Code: Evaluating ChatGPT, Gemini, Claude, and Meta AI as AI Tutors in Computer Science and Engineering Education,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.844684Z

Source-reported events for the cited work

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Observation 5d4c6c7a-7e7e-4d3f-95ae-b6a7597ca3c0 · outbound

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Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving OpenRouter,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.848638Z

Source-reported events for the cited work

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Observation 545e4a30-1bdd-4774-94a7-d41eb08250ca · outbound

This paper cites Statistical notes for clinical researchers: Chi -squared test and Fisher's exact test,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Statistical notes for clinical researchers: Chi -squared test and Fisher's exact test,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.852223Z

Source-reported events for the cited work

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Observation c9b63a28-ced7-4a30-98bd-20670b15236d · outbound

This paper cites Structured outputs,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Structured outputs,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.856300Z

Source-reported events for the cited work

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Observation 0e71f033-54b7-4ed4-953b-b353f6ce7b44 · outbound

This paper cites Structured output support for the Prompt API,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Structured output support for the Prompt API,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.860338Z

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Unavailable: canonical work link unavailable.

Observation a028917f-499b-488f-9f54-36671385e67e · outbound

This paper cites The good, the bad, and the ugly of Gemini’s structured outputs,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving The good, the bad, and the ugly of Gemini’s structured outputs,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.864481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aebbbdeb-751c-4ec5-bfa1-e2b74f2887d9 · outbound

This paper cites Reasoning or Reciting? Exploring the Capabilities and Limitations of Language Models Through Counterfactual Tasks,.

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving Reasoning or Reciting? Exploring the Capabilities and Limitations of Language Models Through Counterfactual Tasks,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T08:02:57.868691Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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