Paper Citation Record · LEDGER

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 5 inbound Pith citation observations for arXiv:2412.11863.

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

pith.paper-citation-record.v1
2412.11863 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:34:45.269196Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:27:50.740556Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:22:42.042272Z

Reference resolution

35 of 35 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9f1153a-11e9-4278-92e0-c6d078ef1f0b · outbound

This paper cites GPT-4 Technical Report.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training GPT-4 Technical Report

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T14:34:45.030534Z

Source-reported events for the cited work

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Observation 459ee89f-9074-4d51-89dd-4f3a2bf9cf29 · outbound

This paper cites Improving image captioning descriptiveness by ranking and llm-based fusion.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Improving image captioning descriptiveness by ranking and llm-based fusion

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T14:34:45.048495Z

Source-reported events for the cited work

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Observation 0664fc24-d1c0-47aa-aa9b-001e57c3318e · outbound

This paper cites Language Models are Few-Shot Learners.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Language Models are Few-Shot Learners

Reference 4

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Observation 07720e16-85df-41f9-9fa5-efb323230141 · outbound

This paper cites How Far Are We to GPT-4V? Closing the Gap to Commercial Multimodal Models with Open-Source Suites.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training How Far Are We to GPT-4V? Closing the Gap to Commercial Multimodal Models with Open-Source Suites

Reference 7

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Observation b2d9943a-8756-4f1b-8430-9ea5e12aa7a0 · outbound

This paper cites MathPrompter: Mathematical Reasoning using Large Language Models.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training MathPrompter: Mathematical Reasoning using Large Language Models

Reference 10

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Observation dc22a03f-ffa9-412b-afce-ae99f65db1f3 · outbound

This paper cites Categorical Reparameterization with Gumbel-Softmax.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Categorical Reparameterization with Gumbel-Softmax

Reference 11

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Observation 7edc0776-378d-4103-972e-59f585fc6d13 · outbound

This paper cites Unimath: A foundational and multimodal mathematical reasoner.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Unimath: A foundational and multimodal mathematical reasoner

Reference 13

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Observation abef8334-6d49-4e8e-955e-d378d6900dec · outbound

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

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoning

Reference 14

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Observation 2bbe326e-a011-4daa-b70a-7bcff90c51ba · outbound

This paper cites Geodrl: A self-learning framework for geometry problem solving using reinforcement learning in deductive reasoning.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Geodrl: A self-learning framework for geometry problem solving using reinforcement learning in deductive reasoning

Reference 15

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Observation 0bd8910f-984f-4065-a83f-9693aa787ff8 · outbound

This paper cites Chimera: Improving Generalist Model with Domain-Specific Experts.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Chimera: Improving Generalist Model with Domain-Specific Experts

Reference 16

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Observation b6ae6d9f-8c36-4bdc-9cc2-c64b434a9f63 · outbound

This paper cites Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context

Reference 17

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Source-reported events for the cited work

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Observation 7d607a55-a81c-4842-9f20-a85083cf7c0a · outbound

This paper cites FuseCap: Leveraging Large Language Models for Enriched Fused Image Captions.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training FuseCap: Leveraging Large Language Models for Enriched Fused Image Captions

Reference 18

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Source-reported events for the cited work

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Observation 1ebb72db-bd47-4224-a5cd-406ef7cccc28 · outbound

This paper cites Learning to solve geometry problems from natural language demon- strations in textbooks.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Learning to solve geometry problems from natural language demon- strations in textbooks

Reference 19

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Observation 0b061dc8-4681-4252-b00d-00b9f307d0be · outbound

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

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Gemini: A Family of Highly Capable Multimodal Models

Reference 22

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Observation 0226ff63-7ee3-46dd-adc0-40e3f25ccc0c · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training LLaMA: Open and Efficient Foundation Language Models

Reference 23

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Source-reported events for the cited work

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Observation e2332290-adbd-4d32-8588-613bc10e0ece · outbound

This paper cites UniMERNet: A Universal Network for Real-World Mathematical Expression Recognition.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training UniMERNet: A Universal Network for Real-World Mathematical Expression Recognition

Reference 24

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Source-reported events for the cited work

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Observation 273da29a-83d6-4944-af7b-29a57b3a2b8c · outbound

This paper cites StructChart: On the Schema, Metric, and Augmentation for Visual Chart Understanding.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training StructChart: On the Schema, Metric, and Augmentation for Visual Chart Understanding

Reference 25

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Observation db5bfe88-4440-4223-bade-7fdc913f46f9 · outbound

This paper cites Docgenome: An open large-scale scientific document benchmark for training and testing multi-modal large language models.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Docgenome: An open large-scale scientific document benchmark for training and testing multi-modal large language models

Reference 26

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Source-reported events for the cited work

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Observation 31089080-426b-4df4-81cf-224ec4ae01f0 · outbound

This paper cites LANS: A Layout-Aware Neural Solver for Plane Geometry Problem.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training LANS: A Layout-Aware Neural Solver for Plane Geometry Problem

Reference 27

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Observation 0619db9e-a68e-4820-9d97-d4639bf18a7e · outbound

This paper cites A: Theoretical analysis on the proposed formalized vision-language pre-training.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training A: Theoretical analysis on the proposed formalized vision-language pre-training

Reference 28

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GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Unresolved cited work

Reference 29

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Observation 0a1d9fbd-e1dc-48fd-aeee-4de4cf67cbb8 · outbound

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GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Unresolved cited work

Reference 30

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Observation e1d9cd57-abd7-4534-8466-b8dd0a8ea68e · outbound

This paper cites The proof problems are categorized into five sub-tasks (parallel, triangle, quadrangle, congruent, and similarity) with detailed reasoning and expressions.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training The proof problems are categorized into five sub-tasks (parallel, triangle, quadrangle, congruent, and similarity) with detailed reasoning and expressions

Reference 31

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GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Data Collection and Filtering

Reference 32

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GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Implementation Details

Reference 33

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Reference 34

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GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Unresolved cited work

Reference 35

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Observation 7da13dc9-3842-497f-9c2e-ebd26fe8b99c · outbound

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

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model

Reference 2013

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GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Models

Reference 2015

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Observation c0927fdd-3318-4feb-ad06-5756ad4b0eb7 · outbound

This paper cites Solving geometry problems: Combining text and diagram interpretation.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Solving geometry problems: Combining text and diagram interpretation

Reference 2017

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This paper cites MIMIC-IT: Multi-Modal In-Context Instruction Tuning.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training MIMIC-IT: Multi-Modal In-Context Instruction Tuning

Reference 2019

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Observation b5a68430-ac3a-4230-91c2-574ae7ec6cfb · outbound

This paper cites Unigeo: Unifying geometry logical reasoning via reformulating mathematical expression.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Unigeo: Unifying geometry logical reasoning via reformulating mathematical expression

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:34:46.311802Z

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Observation 49a0fb8e-d4b6-42df-b85d-eeecaab93c23 · outbound

This paper cites Geoqa: A geometric question answering benchmark towards multimodal numerical reasoning.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Geoqa: A geometric question answering benchmark towards multimodal numerical reasoning

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:34:46.332917Z

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Observation 72d98435-52fa-4969-9401-8b9adaef5134 · outbound

This paper cites Qwen-VL: A Versatile Vision-Language Model for Understanding, Localization, Text Reading, and Beyond.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Qwen-VL: A Versatile Vision-Language Model for Understanding, Localization, Text Reading, and Beyond

Reference 2023

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Source-reported events for the cited work

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This paper cites Pgdp5k: A diagram parsing dataset for plane geometry problems.

GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training Pgdp5k: A diagram parsing dataset for plane geometry problems

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:34:46.293762Z

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Pith citing papers

Observation 2b432adc-4d4e-4c56-a08e-af456c040255 · inbound

Chimera: Improving Generalist Model with Domain-Specific Experts cites this paper.

Chimera: Improving Generalist Model with Domain-Specific Experts GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training

Reference 82

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Observation 95654284-0c7d-405a-8cbb-f760541c4267 · inbound

RedStar: Does Scaling Long-CoT Data Unlock Better Slow-Reasoning Systems? cites this paper.

RedStar: Does Scaling Long-CoT Data Unlock Better Slow-Reasoning Systems? GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training

Reference 23

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Observation b46fc9e5-76e2-4006-8131-b12e69a37b89 · inbound

Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integration cites this paper.

Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integration GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training

Reference 33

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Observation fcd626a1-1293-46de-bb23-da0970d20a88 · inbound

MME-Reasoning: A Comprehensive Benchmark for Logical Reasoning in MLLMs cites this paper.

MME-Reasoning: A Comprehensive Benchmark for Logical Reasoning in MLLMs GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-07T13:36:00.743716Z

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Observation cf8dc641-b5a9-4c91-98c5-c2a9fbf0cc83 · inbound

Towards Geometry Problem Solving in the Large Model Era: A Survey cites this paper.

Towards Geometry Problem Solving in the Large Model Era: A Survey GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:22:42.124494Z

Source-reported events for the cited work

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