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Paper Citation Record · LEDGER

GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2105.14517.

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

pith.paper-citation-record.v1
2105.14517 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 19 of 19 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:08:45.539141Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T22:47:26.028530Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 758540ab-a712-4367-bf67-383ddfccdda3 · inbound

Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset cites this paper.

Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 1

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arxiv_id, observed 2026-05-17T20:45:37.815378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T20:45:37.750536Z digest=sha256:7ce3f99921b60d0480c3738fe1a38e9fc8fc35ed9ba0e33d9035bf22a67f7291

Observation 1cf6766e-ec04-45d5-bad1-58fb844eb521 · inbound

MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems? cites this paper.

MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems? GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 10

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metadata mismatch
arxiv_id, observed 2026-05-17T01:29:30.154946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:29:30.032408Z digest=sha256:343b50365c1455df72188ede0ea9e422294ecc076266b34acbae6ae6b7a9229c

Observation f649d6c8-798b-4b68-9905-0aa7f810d6f1 · inbound

We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning? cites this paper.

We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning? GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 32

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verified exact
arxiv_id, observed 2026-05-16T21:55:40.970785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T21:55:40.808698Z digest=sha256:3b34697f218d4ff3a942d428f02e02d85c991eb78f83e42381ff2ab0ebeb84bb

Observation 93606d2e-aff9-4192-83a7-6235d9996db4 · inbound

MiniCPM-V: A GPT-4V Level MLLM on Your Phone cites this paper.

MiniCPM-V: A GPT-4V Level MLLM on Your Phone GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 19

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verified exact
arxiv_id, observed 2026-05-10T21:07:31.981369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T21:07:31.387726Z digest=sha256:f0379203eb69856d594afc42cd156221054f5b38991e8e3aa46f0f91678e2895

Observation edecfd91-e333-4d89-8e3a-823e99214da9 · inbound

MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems cites this paper.

MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 8

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verified exact
arxiv_id, observed 2026-05-22T22:57:13.333835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-22T22:55:34.238427Z digest=sha256:421d126bcfd38e935ea22fd385278fb7a301a8402992f0064b594b8ce4730f77

Observation df6a3f08-498f-4318-a006-20b6057a0396 · inbound

OpenVLThinker: Complex Vision-Language Reasoning via Iterative SFT-RL Cycles cites this paper.

OpenVLThinker: Complex Vision-Language Reasoning via Iterative SFT-RL Cycles GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 7

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verified exact
arxiv_id, observed 2026-05-19T06:59:03.355958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T06:59:03.112252Z digest=sha256:394872b92f657829ee9fc5cbd43f864bf9f754eb03b4b51778d5c749a81d2f47

Observation bee95ecf-2051-43e9-851f-db014439399a · inbound

NAN: A Training-Free Solution to Coefficient Estimation in Model Merging cites this paper.

NAN: A Training-Free Solution to Coefficient Estimation in Model Merging GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 4

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unresolved
no resolver link, observed 2026-08-07T15:08:45.539141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:08:45.539141Z digest=sha256:f244d67bea6cc95bf773c2c56b67e77d85d4f44e3cbe15fbc3d593e7094fd68d

Observation e9b48f86-27bc-43ae-b295-ebe6533bc78d · inbound

LaViDa: A Large Diffusion Language Model for Multimodal Understanding cites this paper.

LaViDa: A Large Diffusion Language Model for Multimodal Understanding GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 13

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no resolver link, observed 2026-08-07T14:59:33.345230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:59:33.345230Z digest=sha256:4c62aceb5d9c99fbaa2404c376ba621ced2af8287e8a36ae5f1be957aac0607e

Observation 3c66b4bf-0e7e-434e-b2d1-9df26c205382 · inbound

Can Visual Encoder Learn to See Arrows? cites this paper.

Can Visual Encoder Learn to See Arrows? GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 4

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unresolved
no resolver link, observed 2026-08-07T14:07:17.952748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:07:17.952748Z digest=sha256:ce5080d0fb221458cfd266027b7071d5e4a25bef463bd806426f26d73f83c743

Observation eebbef18-5422-4da1-bb9e-31a4d2dd1f0f · inbound

Decomposing Elements of Problem Solving: What "Math" Does RL Teach? cites this paper.

Decomposing Elements of Problem Solving: What "Math" Does RL Teach? GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 20

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no resolver link, observed 2026-08-07T13:05:25.722333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:05:25.722333Z digest=sha256:29884effb2c91fda364c1a26a462ffa1deb0a6a742cfa752360efd6592950b66

Observation e4615098-7cfd-4dfc-abb7-03ccc8f23df0 · inbound

Mixed-R1: Unified Reward Perspective For Reasoning Capability in Multimodal Large Language Models cites this paper.

Mixed-R1: Unified Reward Perspective For Reasoning Capability in Multimodal Large Language Models GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 7

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unresolved
no resolver link, observed 2026-08-07T12:37:43.332355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:37:43.332355Z digest=sha256:55f3111a6af5c4bc39d07e512cd870f39888ce0301b6db8c10a5113019d7b21e

Observation c9cf355f-0040-4426-9d0d-eb9c92452fac · 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 GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 2022

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unresolved
no resolver link, observed 2026-08-07T11:22:40.721234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:22:40.721234Z digest=sha256:1eabf4aa1c9b111fb898fedb5480d6a1ba296a0b4c7c3a928b5dc489a44a3934

Observation 3077b91e-77dd-4bd3-8cfc-551ee1005f5f · inbound

MINT-CoT: Enabling Interleaved Visual Tokens in Mathematical Chain-of-Thought Reasoning cites this paper.

MINT-CoT: Enabling Interleaved Visual Tokens in Mathematical Chain-of-Thought Reasoning GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 5

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unresolved
no resolver link, observed 2026-08-07T10:28:46.943541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:28:46.943541Z digest=sha256:8f4837c1a35f9f4cf99747ddc034c05241257a77ee88fcda852131a12b15011f

Observation 47d9affc-1ceb-4e3c-8935-9b05f859fd14 · inbound

EasyARC: Evaluating Vision Language Models on True Visual Reasoning cites this paper.

EasyARC: Evaluating Vision Language Models on True Visual Reasoning GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 3

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unresolved
no resolver link, observed 2026-08-07T04:06:40.262475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:06:40.262475Z digest=sha256:9bbde081cf70e78ead3ee534ab63618a4734b28f4d32228957d4f76c584902f7

Observation 19b30b09-1918-4e97-9c92-8b68e719fc18 · inbound

MAGE: Multimodal Alignment and Generation Enhancement via Bridging Visual and Semantic Spaces cites this paper.

MAGE: Multimodal Alignment and Generation Enhancement via Bridging Visual and Semantic Spaces GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 7

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unresolved
no resolver link, observed 2026-08-06T12:31:26.032238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:31:26.032238Z digest=sha256:5bb649973c019333cee0de8ad8ae06eadd367a69d43ecaca649159ac8aaecaab

Observation 20c4912d-1cd7-4772-9f91-4e218d516716 · 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 GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 6

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verified exact
arxiv_id, observed 2026-05-19T00:41:56.071851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T00:38:43.897231Z digest=sha256:0d78ae669c69fcaf0ff25951ad8a22f37961d78ad7c326d7c80c4b24cf8e4439

Observation 68ad2670-c3d3-451f-b0c3-ee96b5ce74e3 · inbound

LaRe: Latent Refocusing for Multimodal Reasoning cites this paper.

LaRe: Latent Refocusing for Multimodal Reasoning GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 96

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unresolved
no resolver link, observed 2026-08-04T00:15:21.848881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T00:15:21.848881Z digest=sha256:5e0ac4080d6f35a5f6904c26e7573ed652d33712ff026e2994207ee940437d64

Observation 57f8c1da-9723-4db5-b579-3f07bfbe335f · inbound

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery cites this paper.

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 35

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verified exact
arxiv_id, observed 2026-07-02T22:47:26.029957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T18:39:44.696961Z digest=sha256:587572fb573d3efe94d81e827d7f4cb45432545203e0316daa04361f5b23f18a

Observation 3f4fdbb5-71a6-4a74-a01a-7c25f9b0c483 · inbound

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery cites this paper.

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-02T12:05:04.519260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:05:04.519260Z digest=sha256:ac211cbd1419289a5d0e516eb2d4dda748954a3e2b0bb3b7a74b59a6ca06d3fb