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Paper Citation Record · LEDGER

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs

As of 17 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2502.10454.

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

pith.paper-citation-record.v1
2502.10454 v2

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:01:03.536868Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T21:27:33.349681Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T00:09:14.847290Z

Reference resolution

60 of 60 outbound references displayed

  • verified exact3
  • verified fuzzy24
  • unresolved33
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ec1defc-5fa2-427f-b943-56eee9833e01 · outbound

This paper cites MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalisms.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalisms

Reference 1

Resolution
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no resolver link, observed 2026-08-08T11:01:03.284508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.284508Z digest=sha256:8f1855598a0d957ef552df532140e1e2c5c38e08742b7f16554b7910bc8c318f

Observation 00608376-ea73-4102-9d9a-9842a2692699 · outbound

This paper cites ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics

Reference 2

Resolution
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no resolver link, observed 2026-08-08T11:01:03.289452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.289452Z digest=sha256:7924f8a659df025b52e58d2072fd24e3608cc05440b01f076b564b9ae7e43ac1

Observation d87e5fc3-b904-4939-820e-1df5fcb63019 · outbound

This paper cites an unresolved cited work.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-08T11:01:04.325424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.294478Z digest=sha256:e2bb78592c634d1fbe0df98984776ba1398f390d20f38f557e72b541a06eb0d2

Observation aa1cc57e-28a6-4849-9405-2a625fd0fc48 · outbound

This paper cites Inductive or Deductive? Rethinking the Fundamental Reasoning Abilities of LLMs.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Inductive or Deductive? Rethinking the Fundamental Reasoning Abilities of LLMs

Reference 4

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no resolver link, observed 2026-08-08T11:01:03.298597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.298597Z digest=sha256:fd0c193b5af2fed5c3c2790c8f598a5116c227f646d961a63dd0bf083db7257d

Observation cc9881ec-6020-455b-87de-2910905fcacf · outbound

This paper cites Generative ai for math: Abel.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Generative ai for math: Abel

Reference 5

Resolution
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no resolver link, observed 2026-08-08T11:01:03.303150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.303150Z digest=sha256:e9db4296590765623bc1f9c7e1c01e1675dfc4935e2e0d8eccc3b26cce57e46f

Observation 3963b465-6bb4-4269-a9c9-abef507b8db3 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Training Verifiers to Solve Math Word Problems

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.307546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.307546Z digest=sha256:cbc518b385f13bcf1d1c282370346ee6f0bcad5a48a083d319d26eab2e3431ae

Observation e2ce2a22-40f7-4614-bbb0-c04cc47436f4 · outbound

This paper cites Process reinforcement through implicit rewards, 2025.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Process reinforcement through implicit rewards, 2025

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.305625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.312463Z digest=sha256:45d32576d0e831a15a2dc665ea27ec053cdd4e425180f0af4e34ac758cedde2e

Observation 7f374919-8acc-42be-b00d-852f8773a1d5 · outbound

This paper cites C., and Berner, J.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs C., and Berner, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.290228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.316776Z digest=sha256:3b58427dc3149d5156fd4c580978e77afef1c7c080fda050e767ff05526cc4d9

Observation 85cb85cd-58ab-4ac3-8c95-a35902651bde · outbound

This paper cites Large language models for mathematicians, 2024.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Large language models for mathematicians, 2024

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.276581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.321447Z digest=sha256:b4b422870482dcde2d46011401cb347cddab1b5191870ba33f05ae8959a5a4f1

Observation 63b6690b-9805-4d35-938c-0885001b33b0 · outbound

This paper cites an unresolved cited work.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Unresolved cited work

Reference 10

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raw_fallback, observed 2026-08-08T11:01:04.264097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.325384Z digest=sha256:15ef334bdf7ad0345f1d9c316fe6ced81a6238799529db1c3f34966d0bd80cdd

Observation 9e71cc84-bc2c-41d5-8c6d-dd6f2da2af6c · outbound

This paper cites Tora: A tool-integrated reasoning agent for mathematical problem solving.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Tora: A tool-integrated reasoning agent for mathematical problem solving

Reference 11

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raw_fallback, observed 2026-08-08T11:01:04.252776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.329836Z digest=sha256:a88f3595fae379c66efc59b6d6b965200af065db017c19d2e1853b78d4be0bc7

Observation f0a5415b-6791-448a-9702-953346e477b0 · outbound

This paper cites Putnam- AXIOM : A functional and static benchmark for measuring higher level mathematical reasoning.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Putnam- AXIOM : A functional and static benchmark for measuring higher level mathematical reasoning

Reference 12

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raw_fallback, observed 2026-08-08T11:01:04.241268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.334006Z digest=sha256:201f9615c96ba6eaa199542251a5d80a082c2f7b29799326be4fa2dd3b06d723

Observation d72cb52d-a215-4e79-b62f-e701f4e04ec2 · outbound

This paper cites LLM Reasoners: New Evaluation, Library, and Analysis of Step-by-Step Reasoning with Large Language Models.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs LLM Reasoners: New Evaluation, Library, and Analysis of Step-by-Step Reasoning with Large Language Models

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.338525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.338525Z digest=sha256:70965704a30761d5f3df2c9dffd6a076a7a9fc1ead67bd4ae0a0506aa9045c61

Observation 674db3f7-1b2d-44fd-becd-ba64431b97e1 · outbound

This paper cites L., Shen, J., Hu, J., Han, X., Huang, Y., Zhang, Y., Liu, J., Qi, L., Liu, Z., and Sun, M.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs L., Shen, J., Hu, J., Han, X., Huang, Y., Zhang, Y., Liu, J., Qi, L., Liu, Z., and Sun, M

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.228672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.342914Z digest=sha256:26c21728a597635410f2bdedf86876297f3648f7740971cf980dbee53d5b415a

Observation 9ec5ab18-61bc-44ba-bb0a-70182a917b6b · outbound

This paper cites Measuring mathematical problem solving with the math dataset.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Measuring mathematical problem solving with the math dataset

Reference 15

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no resolver link, observed 2026-08-08T11:01:03.346946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.346946Z digest=sha256:0ce0ef36ff92a53d88f4a43a1cbe9b72103fd4263671a704e05ff987aae30be3

Observation 1caaebb8-74ab-46ce-8127-35bd5210ee3e · outbound

This paper cites Counterexamples in Algebra.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Counterexamples in Algebra

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.209299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.350764Z digest=sha256:dd0a4eb4e47f0c8c8f4f153dcef6bf9eb578fb843ab8144fbc82dc48e91532d9

Observation 3398e75a-b8fa-472e-9fd0-13174f87444e · outbound

This paper cites Lateval: An interactive llms evaluation benchmark with incomplete information from lateral thinking puzzles.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Lateval: An interactive llms evaluation benchmark with incomplete information from lateral thinking puzzles

Reference 17

Resolution
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raw_fallback, observed 2026-08-08T11:01:04.197120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.355157Z digest=sha256:ff5c4377810db8e62825db88dc86e2a9915373575dca5da1dfb2c2a7b0ca7825

Observation d5c9c67f-5222-4827-85dd-42e3c4e5230f · outbound

This paper cites Q., Welleck, S., Zhou, J.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Q., Welleck, S., Zhou, J

Reference 18

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no resolver link, observed 2026-08-08T11:01:03.359213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.359213Z digest=sha256:74edd110fd9c18455f9c2f6d66968fa444a685935e651760b8732a91825b2a8a

Observation 6618ebcb-7ed5-4369-96a6-724b4ce6c79c · outbound

This paper cites Counterexamples in Calculus.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Counterexamples in Calculus

Reference 19

Resolution
verified exact
doi, observed 2026-08-08T11:01:03.588674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.363434Z digest=sha256:0a8245092bb80e56176fc7d50e31f558af7d33be97a1a45f1f594c918f0529e5

Observation b4eb5ad1-4ce1-4bbb-82f1-d8ab838f5f6e · outbound

This paper cites Common 7B Language Models Already Possess Strong Math Capabilities.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Common 7B Language Models Already Possess Strong Math Capabilities

Reference 20

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no resolver link, observed 2026-08-08T11:01:03.367763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.367763Z digest=sha256:17396b17996df20570d9a8279ddb6f00a4a3d5b6ddfb8b2e3844209e7d6fe6f2

Observation bd30f6d9-e411-4940-9578-116de347acaa · outbound

This paper cites Q., Shen, Z., et al.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Q., Shen, Z., et al

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.178590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.372393Z digest=sha256:be32e3333d5fa2835b8f4fdc9531a7e93388ee087dfc3fb46c2efd9ed4cda6bc

Observation e928114c-f02d-447f-a6e8-34b803efb2e4 · outbound

This paper cites Towards Real-World Writing Assistance: A Chinese Character Checking Benchmark with Faked and Misspelled Characters.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Towards Real-World Writing Assistance: A Chinese Character Checking Benchmark with Faked and Misspelled Characters

Reference 22

Resolution
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no resolver link, observed 2026-08-08T11:01:03.376386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.376386Z digest=sha256:b6174bd85321ec62c5ad5456bfb2c27b2f312dac2d9945b38f3e6e98257ffccc

Observation 7653e31c-28b0-4d4b-b618-d0b564350667 · outbound

This paper cites HunyuanProver: A Scalable Data Synthesis Framework and Guided Tree Search for Automated Theorem Proving.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs HunyuanProver: A Scalable Data Synthesis Framework and Guided Tree Search for Automated Theorem Proving

Reference 23

Resolution
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no resolver link, observed 2026-08-08T11:01:03.380580Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.380580Z digest=sha256:40fcd6af11242db9926a1f6adcdc42b7d034339bae34ff902b48fce8c3c5c113

Observation efbfc721-20f9-4e91-b037-8e25ea8e65e6 · outbound

This paper cites an unresolved cited work.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-08T11:01:04.166205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.384867Z digest=sha256:817e6c2484c2d3b09e95c1bc4193a936f2f2a24646fd6a4c8f7f0d2b439e9aed

Observation 1292ec3d-0f42-4c28-818d-13845d6f0464 · outbound

This paper cites Correct like humans: Progressive learning framework for chinese text error correction.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Correct like humans: Progressive learning framework for chinese text error correction

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.154016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.388883Z digest=sha256:e28e016d0b62a47ad3c5fc8be8f62a395a92c43fc294b48178b6560a08ecd8d7

Observation c0edf4bc-0cd3-4ecc-82fd-e2a6d27c45c2 · outbound

This paper cites Lean-STaR: Learning to Interleave Thinking and Proving.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Lean-STaR: Learning to Interleave Thinking and Proving

Reference 26

Resolution
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no resolver link, observed 2026-08-08T11:01:03.393004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.393004Z digest=sha256:67f2feb65b9605a73ea2830140fa8e0f604f254bcf11caa655d4dcad91a580a2

Observation f0233435-99e1-408e-a4d0-e29fa6e04b4d · outbound

This paper cites Rho-1: Not All Tokens Are What You Need.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Rho-1: Not All Tokens Are What You Need

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.397522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.397522Z digest=sha256:744e8bd73750edb20e6ef08705b692223fe0b8f933101766bcd6eec2debfaf5f

Observation 95845ac8-4274-4fe8-ace8-d8eacb8d462a · outbound

This paper cites Mathbench: Evaluating the theory and application proficiency of llms with a hierarchical mathematics benchmark, 2024.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Mathbench: Evaluating the theory and application proficiency of llms with a hierarchical mathematics benchmark, 2024

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.141859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.401948Z digest=sha256:2e78fdf34239314f8365b294b8f3465be3f816b07339ca65552a711c2a1eae3e

Observation 4928d5fe-e572-4056-a53d-2dbaac016683 · outbound

This paper cites Mathvista: Evaluating mathematical reasoning of foundation models in visual contexts.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Mathvista: Evaluating mathematical reasoning of foundation models in visual contexts

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.405941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.405941Z digest=sha256:83c87d503ec37742490f509a0669a25df80568af234cd10a43def9947bd9f117

Observation adf5415b-922f-41bb-9096-ddd49cbf37ae · outbound

This paper cites WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.410076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.410076Z digest=sha256:f31aec76f5b44dfd39cd3e7a6d58c0784aa52eb18007f808b37a06f12ecd5ef4

Observation f3112620-9b06-4d3b-b888-3d5ca29535c4 · outbound

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

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models

Reference 31

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unresolved
no resolver link, observed 2026-08-08T11:01:03.414457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.414457Z digest=sha256:d88ed0b9978c1ed1e96d58d09e4fd831f0654325522dc132a3981da24775c589

Observation 283858d4-d0e6-4655-93e7-d0b7030f661d · outbound

This paper cites an unresolved cited work.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Unresolved cited work

Reference 32

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unresolved
raw_fallback, observed 2026-08-08T11:01:04.122907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.419005Z digest=sha256:6a18e922d491f2eb098c082011998ee60192cf000ffe3dbae19da45a451cebb6

Observation a464e7c9-28c0-4a91-ac7e-01e7f34bb63e · outbound

This paper cites Gpt-4 technical report, 2023.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Gpt-4 technical report, 2023

Reference 33

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no resolver link, observed 2026-08-08T11:01:03.423068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.423068Z digest=sha256:85b42c282004888d73c35a8d1adccfda26a3fc6c523cba180a16f30d4cc57626

Observation c6743db6-fbc9-4266-812f-d9bf24408c88 · outbound

This paper cites Y., Padmakumar, V., Joshi, N., Kazemi, M., Kim, N., and He, H.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Y., Padmakumar, V., Joshi, N., Kazemi, M., Kim, N., and He, H

Reference 34

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verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.102289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.427071Z digest=sha256:0a3df00e08b802b84a71f3b204788a259f31efc9417956d0f6a68174b4cdc0fe

Observation b5580c72-aa5a-4b40-ab6c-f7acb97c837d · outbound

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

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.431677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.431677Z digest=sha256:fdaeca79d043d18356f26b3e9052072d7eecaca42e2597c4de86a4ce5dc4831e

Observation 763c1925-e368-47c4-94c9-d7693a99206c · outbound

This paper cites an unresolved cited work.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-08T11:01:04.089190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.435983Z digest=sha256:7792d1a9aedffbf8c7973937786009641f6bf81331cd7a169f878c8b30cd1cdc

Observation 8882b302-2b9e-4a8e-a8e6-fd42e6cf9229 · outbound

This paper cites Putnambench: Evaluating neural theorem-provers on the putnam mathematical competition.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Putnambench: Evaluating neural theorem-provers on the putnam mathematical competition

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.075255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.440034Z digest=sha256:511850322734f3992f4a1f2190bfad323a998520a8b0457f2048e34e515a07ba

Observation 910fd2a7-18b5-4e52-b649-4070fa7f67f5 · outbound

This paper cites Counterexamples in Real Analysis.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Counterexamples in Real Analysis

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.060468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.444115Z digest=sha256:f9bfeeb9a5392d248b0bc24a925f169f79bb19b8cb345610b1f03334c916cbbf

Observation e4852cdf-5715-457c-9843-d63e4f1521fc · outbound

This paper cites Counterexamples in Functional Analysis.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Counterexamples in Functional Analysis

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.048408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.448003Z digest=sha256:56d56ff9719678b81fae7a228f364368fc9faa1077f31d8e1860bd1d73372128

Observation d6ddaf13-8258-4881-955f-28f4a6041812 · outbound

This paper cites and Yang, F.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs and Yang, F

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.036093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.452457Z digest=sha256:0a0414a1d9086a554804084f4ade713bc806a73495d5efa7e84168c3faeb6081

Observation 20181106-2391-4186-9913-8b928d84d5b2 · outbound

This paper cites Hypothesis search: Inductive reasoning with language models.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Hypothesis search: Inductive reasoning with language models

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.024065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.456409Z digest=sha256:8561071c2565e4d935d7fd2551503a60aacd38868fd49f040389e80b8a716b82

Observation 9a65e7bc-6f53-42fb-9d79-cfe052c51769 · outbound

This paper cites On the Role of Entity and Event Level Conceptualization in Generalizable Reasoning: A Survey of Tasks, Methods, Applications, and Future Directions.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs On the Role of Entity and Event Level Conceptualization in Generalizable Reasoning: A Survey of Tasks, Methods, Applications, and Future Directions

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.460618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.460618Z digest=sha256:6b42d9df445a3777929087103ed98650e6ac3505d5280d0f49aade857a9e6abb

Observation 0c9b585f-938e-486e-ad06-c518395076e8 · outbound

This paper cites Mmlu-pro: A more robust and challenging multi-task language understanding benchmark.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Mmlu-pro: A more robust and challenging multi-task language understanding benchmark

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:04.010298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.465194Z digest=sha256:68931c78b97d976b3f91054e7849c50b87b22dc5003af4dc48e9d827a91da723

Observation 12600cf0-a0fb-4d5e-876a-6bae467961a7 · outbound

This paper cites V., Zhou, D., et al.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs V., Zhou, D., et al

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.469193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.469193Z digest=sha256:6a36bb75cd53ff4bb8f1e3b973b9408338596c23270dbf46e12de9e75f3654ce

Observation 7784b7ee-7c6e-4371-b88c-045aeae79c2f · outbound

This paper cites L., Hajishirzi, H., Choi, Y., and Cho, K.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs L., Hajishirzi, H., Choi, Y., and Cho, K

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:03.986997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.473149Z digest=sha256:4dc26a12c036311e72417e39d908e59db13fb508e0de9d714767a4fca91e573f

Observation c16993ca-a576-403f-8782-4763b5747a37 · outbound

This paper cites and Gao, X.-S.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs and Gao, X.-S

Reference 46

Resolution
verified exact
doi, observed 2026-08-08T11:01:03.573870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.477071Z digest=sha256:5c362b9117aa3104d16f859e13e71dce9f8c3c44d4878806b1334bb52a32bdd5

Observation 08f3096d-8662-4030-ba8a-6c6a8c232415 · outbound

This paper cites Mathematics Mechanization: Mechanical Geometry Theorem-Proving, Mechanical Geometry Problem-Solving and Polynomial Equations-Solving.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Mathematics Mechanization: Mechanical Geometry Theorem-Proving, Mechanical Geometry Problem-Solving and Polynomial Equations-Solving

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:03.971856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.481267Z digest=sha256:f8e3eb4ad5449cd07eaba937037e1c22a6374310c4159720b60ff258d59af64b

Observation 10822b06-48aa-425d-baa9-43b2cf7abfad · outbound

This paper cites ConceptMath: A Bilingual Concept-wise Benchmark for Measuring Mathematical Reasoning of Large Language Models.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs ConceptMath: A Bilingual Concept-wise Benchmark for Measuring Mathematical Reasoning of Large Language Models

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-08T11:01:03.721936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.485385Z digest=sha256:819edd6b3967c9722661ae9f80fa00461cf3cb4e6361a3b01b350e4d35c01725

Observation 569f6243-3c42-49f6-b732-c9a94fab1d9a · outbound

This paper cites Let LLMs Take on the Latest Challenges! A Chinese Dynamic Question Answering Benchmark.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Let LLMs Take on the Latest Challenges! A Chinese Dynamic Question Answering Benchmark

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.489718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.489718Z digest=sha256:5bb93dd76680d3b59317cc950beb4b1c15193f193502fd0107c89fdb54280e3d

Observation 7d4b15f5-6e7e-4c87-9955-3e467f8b37d1 · outbound

This paper cites Qwen2 Technical Report.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Qwen2 Technical Report

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.494175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.494175Z digest=sha256:ebd75e9943cd0934f6c4f9508d0f1f201eac3f56cfcd33985fa965a65001e90f

Observation dcdc8bd7-24bf-490e-8b5e-834b213543dc · outbound

This paper cites and Deng, J.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs and Deng, J

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:03.958070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.498388Z digest=sha256:f3623721f1d4d6e129ac55e2d54abdf42a048ca51a2857b9bff25c2cfd57dca6

Observation 0a8a6735-7e5e-4c44-944c-eca2a06e8525 · outbound

This paper cites H., and Zhou, D.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs H., and Zhou, D

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:03.945814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.502506Z digest=sha256:e6063b1420bcf1ad4c993a008caaf62ffb48ee862b54e52175dc2afd7c60a3d2

Observation 209773d6-b684-43a5-a6a9-acba7b99b348 · outbound

This paper cites InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.506645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.506645Z digest=sha256:ed8dba149c79c072b9ddfd48c351ba65056f7bf5f3679340314c87d39523ebb8

Observation 6ffee420-bafc-4ac0-9adb-dfed2caeeec4 · outbound

This paper cites MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.510908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.510908Z digest=sha256:86a6f09bc1702426aede17657bbaf360db87c9de9631916299073b1e568a81ef

Observation 0b5edc4c-d2ba-427d-9482-6fb572a769e8 · outbound

This paper cites Metamath: Bootstrap your own mathematical questions for large language models.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Metamath: Bootstrap your own mathematical questions for large language models

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:03.933156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.515268Z digest=sha256:711903e5986e0154365d386fad5c448aa3dbc390dc19d2c0f5291102e5af2309

Observation c3af04a4-a383-4914-a3b1-6a24dcc2713c · outbound

This paper cites ReasonAgain: Using Extractable Symbolic Programs to Evaluate Mathematical Reasoning.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs ReasonAgain: Using Extractable Symbolic Programs to Evaluate Mathematical Reasoning

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.519874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.519874Z digest=sha256:e5ded6b20f840c06419dd515d18972f1d86c796bed4e92a313a90a47670dead4

Observation 5892fd4e-f7e1-4f70-b5ee-23efcc2377c5 · outbound

This paper cites MAmmoTH2: Scaling Instructions from the Web.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs MAmmoTH2: Scaling Instructions from the Web

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.524223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.524223Z digest=sha256:d27dc6dd4afe006c9ff8eefd60ea84fe189d8b4af2acee0799ecca9276c94d1a

Observation c259f977-6f50-420b-88e6-3e2a8e65b25a · outbound

This paper cites M., and Polu, S.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs M., and Polu, S

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:01:03.920710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-08T11:01:03.528447Z digest=sha256:58af1a2267287af081c660a4d9f7796da496dc80746a2894c25f2ad0fbb9fab1

Observation eb95727f-e3da-4d96-b694-b7899833a510 · outbound

This paper cites Conceptual and Unbiased Reasoning in Language Models.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Conceptual and Unbiased Reasoning in Language Models

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.532477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.532477Z digest=sha256:82a0b1917fccf03d3aa59fd171b13123bb4c681588bdf8b889b92451d444356c

Observation 3f2fa02a-4b54-47cd-9491-53c5628c5a2f · outbound

This paper cites write newline.

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs write newline

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:03.536868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T11:01:03.536868Z digest=sha256:43fb0c78769aaf4a8fe533eff41ecdafdfe1afdc817da4047eb4ad2f01081571

Pith citing papers

Observation 01f17dc9-a2a3-4d08-a488-d0216997e9a3 · inbound

DeFAb: A Verifiable Benchmark for Defeasible Abduction in Foundation Models cites this paper.

DeFAb: A Verifiable Benchmark for Defeasible Abduction in Foundation Models One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs

Reference 77

Resolution
verified exact
arxiv_id, observed 2026-07-04T00:09:14.849508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-26T21:27:33.349681Z digest=sha256:723fad06aefc2d9c838cc43d846d3769b0fdfe12403487c55adb00f8aec8052d