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Paper Citation Record · LEDGER

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges

As of 21 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 4 inbound Pith citation observations for arXiv:2502.08680.

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

pith.paper-citation-record.v1
2502.08680 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T05:52:24.876727Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:05:07.595231Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T23:33:58.181298Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved15
  • parse uncertain0
  • malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c8798d3-e714-4fba-9d94-6b67474dd286 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 1

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unresolved
raw_fallback, observed 2026-08-08T05:52:25.321183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4f82cdd5-f47d-4fc9-9b83-a49f3a81d4d1 · outbound

This paper cites • The function must not take any external arguments.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges • The function must not take any external arguments

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-08T05:52:25.305876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0f47e264-889a-435e-bb69-825b452566b6 · outbound

This paper cites Avoid directly copying the results of these operations or the final answer from the response.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Avoid directly copying the results of these operations or the final answer from the response

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation bd09e588-4373-40f4-80a9-8e639863f58c · outbound

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

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6144610a-5b2b-4b46-b9eb-60731b35e581 · outbound

This paper cites Qwen2.5 Technical Report.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Qwen2.5 Technical Report

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 1a81d178-2f81-40b7-8c9e-ce33cc6c88aa · outbound

This paper cites extracted_answer.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges extracted_answer

Reference 6

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7b939f6a-26c5-4c1e-af60-4c418997123e · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 9

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raw_fallback, observed 2026-08-08T05:52:25.270739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7dfa24a7-6df4-45f0-8810-015e41ab8c78 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2191d066-7de4-4293-8405-f02f3c6e6a52 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 12

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raw_fallback, observed 2026-08-08T05:52:25.224247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation aca610e9-db6e-46ad-99c9-59b548bd1cf0 · outbound

This paper cites Example 2: Operator Error Question: Finn watches 9 360 266tadpoles swimming in the pond.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Example 2: Operator Error Question: Finn watches 9 360 266tadpoles swimming in the pond

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation eb269715-fe42-4c3f-9c60-76e93a62cdc2 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 74461094-48f7-4448-be0c-25f7046a62da · outbound

This paper cites Example 3: Contextual Value Error Question: Gloria is shoe shopping when she comes across a pair of boots that fit her shoe budget.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Example 3: Contextual Value Error Question: Gloria is shoe shopping when she comes across a pair of boots that fit her shoe budget

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8f545f8a-5cfd-4421-aad7-2c259f5c9146 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 16

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f8d91001-5cb3-4ea7-8f03-a6b8408f012f · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d9d57f9a-414c-4295-bb37-e93b81875c86 · outbound

This paper cites Instead of using 4 528 570dollars as the price difference between the boots and the two pairs of high heels, it incorrectly uses the total cost of the heels.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Instead of using 4 528 570dollars as the price difference between the boots and the two pairs of high heels, it incorrectly uses the total cost of the heels

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 1bc39399-d811-4695-9062-e1461e64eaaf · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 19

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0920def8-b513-48ce-ab90-cefbcfdecafc · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 20

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Observation c06a13c4-fcb4-4bfa-b1ff-343b71f751e8 · outbound

This paper cites Instead of computing Joan’s age based on her relationship to Jessa, it directly assigned 2 112 084as Joan’s age.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Instead of computing Joan’s age based on her relationship to Jessa, it directly assigned 2 112 084as Joan’s age

Reference 21

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 72108577-437d-46d8-99e2-5290baba90a6 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 42a8d735-7bbb-4fff-be90-3d9b4d7e969c · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation fe5156a6-bc84-4e96-b565-a39974e8e4e2 · outbound

This paper cites an unresolved cited work.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Unresolved cited work

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 239c9393-8dd0-4d51-b280-c0869a3aea0a · outbound

This paper cites Instead of calculating the actual sum of their ages, it leaves the expression in terms of Jessa’s age without substitution, leading to an incomplete and incorrect result.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Instead of calculating the actual sum of their ages, it leaves the expression in terms of Jessa’s age without substitution, leading to an incomplete and incorrect result

Reference 25

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raw_fallback, observed 2026-08-08T05:52:25.015753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 88975b50-c32f-4806-8f1c-e272fab92ccc · outbound

This paper cites Scaling Laws for Autoregressive Generative Modeling.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Scaling Laws for Autoregressive Generative Modeling

Reference 2020

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 178f20ba-9fc3-46d5-b657-4e9f62442b3b · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Training Verifiers to Solve Math Word Problems

Reference 2021

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T05:52:24.753093Z digest=sha256:5c7a4070a7c81347b5735faf028d5cd4099753f5697ebc3f8f542260c86d4f4c

Observation 8a0a3012-104c-4fff-897c-0559c0e1d29a · outbound

This paper cites Solving for X and Beyond: Can Large Language Models Solve Complex Math Problems with More-Than-Two Unknowns?.

Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges Solving for X and Beyond: Can Large Language Models Solve Complex Math Problems with More-Than-Two Unknowns?

Reference 2024

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T05:52:24.764828Z digest=sha256:3312e93248ee3d9f7eb0322d005004b529979c2d1ad170a5de1cfc3e5273711e

Pith citing papers

Observation 307b59f0-34c9-42b0-976e-e52b630bf9e4 · inbound

ASyMOB: Algebraic Symbolic Mathematical Operations Benchmark cites this paper.

ASyMOB: Algebraic Symbolic Mathematical Operations Benchmark Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges

Reference 47

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e81c1b00-e338-407f-8aed-48ba4402c62d · inbound

Answer-Centric or Reasoning-Driven? Uncovering the Latent Memory Anchor in LLMs cites this paper.

Answer-Centric or Reasoning-Driven? Uncovering the Latent Memory Anchor in LLMs Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:33:58.332865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T23:33:56.012500Z digest=sha256:c3a5808b911728ce3b2e9c8fe3b34b16eea51e5e7de26122002226ed842771dd

Observation 7a311567-f4c9-48f8-a700-e8bf96f59831 · inbound

Free-MAD: Consensus-Free Multi-Agent Debate cites this paper.

Free-MAD: Consensus-Free Multi-Agent Debate Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges

Reference 45

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:15:02.529298Z digest=sha256:36bde1904e1eb56992de067941993630abef51c1fa2ed615f7f1ff027f181ed7

Observation 9a28239c-34b9-48f1-8719-51f172427654 · inbound

Agent Harness Distillation: Inference-Time Harness Extraction and Exploitation in Autonomous Multi-Agent Systems cites this paper.

Agent Harness Distillation: Inference-Time Harness Extraction and Exploitation in Autonomous Multi-Agent Systems Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges

Reference 39

Resolution
unresolved
no resolver link, observed 2026-07-31T16:25:17.800016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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