Paper Citation Record · LEDGER

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring

As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2412.00846.

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

pith.paper-citation-record.v1
2412.00846 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:59:45.133501Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T00:38:43.897231Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T00:41:56.011698Z

Reference resolution

46 of 46 outbound references displayed

verified exact1
verified fuzzy1
unresolved44
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 768f5210-d4f1-4931-b86a-1be30e2b4176 · outbound

This paper cites Self-RAG: Learning to Retrieve, Generate, and Critique through Self-Reflection.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Self-RAG: Learning to Retrieve, Generate, and Critique through Self-Reflection

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:44.981315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bb2bf1e-b137-4386-b597-c23e74084abc · outbound

This paper cites A Multitask, Multilingual, Multimodal Evaluation of ChatGPT on Reasoning, Hallucination, and Interactivity.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring A Multitask, Multilingual, Multimodal Evaluation of ChatGPT on Reasoning, Hallucination, and Interactivity

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:44.985655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8afaa87d-4de2-421a-aed4-64a814767f9e · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.486698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4dae4fb7-ed63-4105-8bae-9bdf53ee2050 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.477786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 761545b9-992f-485f-9f07-bb553a9f6860 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:44.995632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5390b79-acb0-4daa-88f6-9b4d0cae83c2 · outbound

This paper cites GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:44.998859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d84934dd-b0ae-4088-9c0c-89badb2207df · outbound

This paper cites MuRAG: Multimodal Retrieval-Augmented Generator for Open Question Answering over Images and Text.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring MuRAG: Multimodal Retrieval-Augmented Generator for Open Question Answering over Images and Text

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.002448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64647e88-5537-4897-beee-44205ee9b6a3 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Training Verifiers to Solve Math Word Problems

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.005604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3ef41a9-b27c-4ebf-92d1-018e41aed815 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.008729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c902d0f-9ccf-4409-a9fb-472638cf007f · outbound

This paper cites Self-Guided Noise-Free Data Generation for Efficient Zero-Shot Learning.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Self-Guided Noise-Free Data Generation for Efficient Zero-Shot Learning

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.012104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cdfa3ec-db63-4738-b6d3-377aaf5cec6b · outbound

This paper cites G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.015292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb1cd85e-4913-460d-aa49-49935ebd8cbe · outbound

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

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.018640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94d50c98-22a7-496e-9086-97cd7b54da14 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.022185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2302fc3c-2c4d-4f46-805c-f4d34a3168bf · outbound

This paper cites Mistral 7B.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Mistral 7B

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.025292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8f0d68b-82d3-467d-9b71-7eb77f58c69a · outbound

This paper cites Active Retrieval Augmented Generation.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Active Retrieval Augmented Generation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.028831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5be6464-8568-488e-9fca-77586df472bc · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.032318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 981c8c56-c448-4acc-9256-f211baa4dc33 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.035374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdafcb36-d732-457f-911d-e40db47b223a · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.038801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb52b1a4-1450-44e5-b13b-a9e01b035538 · outbound

This paper cites Retrieval-augmented Multi-modal Chain-of-Thoughts Reasoning for Large Language Models.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Retrieval-augmented Multi-modal Chain-of-Thoughts Reasoning for Large Language Models

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.042382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 862bd9ea-3bfa-4cb5-a0b4-08c52b023af8 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.045746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dd0e68a-f449-44d8-b906-41c4daa732eb · outbound

This paper cites Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoning.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoning

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.049270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd2b9237-c070-47ae-a378-a4ed5873bb32 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.052393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30770326-6b11-49ed-8c00-05f593160224 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.056013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83fef1af-4d0b-4682-bc55-d74fadc98510 · outbound

This paper cites Instruction Tuning with GPT-4.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Instruction Tuning with GPT-4

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.059444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9e89d7e-fd57-4017-918d-3cf62e547045 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.430965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8a4265b7-0da4-487e-84d3-27cef13b3085 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.421116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3cd7edd3-ee65-4951-b1ed-b6945090b326 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.412426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b7700b7-ac26-4776-8696-3f956474f2f8 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.403209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d495af7-d41b-4e90-a77d-89e82ffbe30b · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.385433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa5ced6d-727b-4bd5-8489-800e67998fc6 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.376330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6a17a0dc-72c9-436f-b108-784c89e0b029 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.086384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81e23b22-6789-47ed-89d5-ef3ff13635e1 · outbound

This paper cites Gemini: A Family of Highly Capable Multimodal Models.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Gemini: A Family of Highly Capable Multimodal Models

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.089756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44bd73fb-765e-4db6-ac85-3576564e444c · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.093030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ace9738-19df-45d3-89dd-72b2ee99960c · outbound

This paper cites GIT: A Generative Image-to-text Transformer for Vision and Language.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring GIT: A Generative Image-to-text Transformer for Vision and Language

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.096544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37655005-8dfa-4b68-ba89-3a32ac9309da · outbound

This paper cites Self-Instruct: Aligning Language Models with Self-Generated Instructions.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Self-Instruct: Aligning Language Models with Self-Generated Instructions

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.099637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 883667d2-a32e-4890-91ef-0aaa39cd5f06 · outbound

This paper cites Enhancing Human-like Multi-Modal Reasoning: A New Challenging Dataset and Comprehensive Framework.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Enhancing Human-like Multi-Modal Reasoning: A New Challenging Dataset and Comprehensive Framework

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:59:45.209546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c7862488-295e-48fd-859b-21f0bbc5c0c4 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.106235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a3060a5-c949-447b-8725-5195cb5af327 · outbound

This paper cites RECOMP: Improving Retrieval-Augmented LMs with Compression and Selective Augmentation.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring RECOMP: Improving Retrieval-Augmented LMs with Compression and Selective Augmentation

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.109816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 654404c3-f1ea-475a-8b70-05bb2536884a · outbound

This paper cites Corrective Retrieval Augmented Generation.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Corrective Retrieval Augmented Generation

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.113903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ef9f272-3a3e-4a92-8f78-52a25b3d75d9 · outbound

This paper cites Retrieval-Augmented Multimodal Language Modeling.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Retrieval-Augmented Multimodal Language Modeling

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.117219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation deb3d76c-fa16-4896-8a24-15adf0a99d8d · outbound

This paper cites ZeroGen: Efficient Zero-shot Learning via Dataset Generation.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring ZeroGen: Efficient Zero-shot Learning via Dataset Generation

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.120907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2002cf73-6b7a-4f24-bd4c-c80ac3944f6d · outbound

This paper cites Chain-of-Note: Enhancing Robustness in Retrieval-Augmented Language Models.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Chain-of-Note: Enhancing Robustness in Retrieval-Augmented Language Models

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.124343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc097915-bef1-4b3e-92cf-c4fd4a52cd82 · outbound

This paper cites A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-12T04:59:45.127296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 503583c7-78d3-4ecb-b3ad-c87e897d5dd9 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.358245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d784d4f5-4fbb-4070-b758-89fb670bc502 · outbound

This paper cites an unresolved cited work.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:59:45.349757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9cf5dde-296e-4752-af2c-a3d668bb0e7d · outbound

This paper cites In Proceedings of the 2015 conference on empirical methods in natural language processing.

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring In Proceedings of the 2015 conference on empirical methods in natural language processing

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:59:45.394560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 6c77e46f-c76e-4de3-bcce-13b832bee590 · inbound

GeoLaux: A Benchmark for Evaluating MLLMs' Geometry Performance on Long-Step Problems Requiring Auxiliary Lines cites this paper.

GeoLaux: A Benchmark for Evaluating MLLMs' Geometry Performance on Long-Step Problems Requiring Auxiliary Lines Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-19T00:41:56.013993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.