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Paper Citation Record · LEDGER

UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 24 inbound Pith citation observations for arXiv:2212.02746.

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

pith.paper-citation-record.v1
2212.02746 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 24 of 24 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:33:00.610409Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T22:57:13.381783Z

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 90bcbf88-c557-4dbb-b5d6-1ac704046ed3 · 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? UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 8

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metadata mismatch
arxiv_id, observed 2026-05-17T01:29:30.150651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-17T01:29:30.032408Z digest=sha256:cce79533c583f3133f31ee6fee9938606f132c6b95ed3080e1c5a11498385ba1

Observation 16fdff7a-0175-4897-8015-c2a9d7af416c · 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? UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 33

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verified exact
arxiv_id, observed 2026-05-16T21:55:40.975231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-16T21:55:40.808698Z digest=sha256:c6061dad58c5556ec9f1e574ec19db8cf9ebd492e3efd0806628af320a02d161

Observation 41e236e0-0feb-4409-bf00-d26bfdfb50a9 · inbound

BlueLM-V-3B: Algorithm and System Co-Design for Multimodal Large Language Models on Mobile Devices cites this paper.

BlueLM-V-3B: Algorithm and System Co-Design for Multimodal Large Language Models on Mobile Devices UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 15

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no resolver link, observed 2026-08-12T19:33:00.610409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:33:00.610409Z digest=sha256:8561ae407c1e60e08ddddbbe6c04ad1119d3d8465c8fec69720b1d7ba909d0af

Observation aee255cc-a09f-4e26-9be1-9a468a226b39 · inbound

AV-Odyssey Bench: Can Your Multimodal LLMs Really Understand Audio-Visual Information? cites this paper.

AV-Odyssey Bench: Can Your Multimodal LLMs Really Understand Audio-Visual Information? UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 10

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no resolver link, observed 2026-08-11T23:19:11.450698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:19:11.450698Z digest=sha256:5cefa54cab0c14d765aca71ca2164bea28403a533ae686e87f0ced21175ac036

Observation 659889a3-271d-4631-9648-860b79fec7d1 · inbound

Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scaling cites this paper.

Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scaling UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-10T13:23:57.903870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T13:23:57.588851Z digest=sha256:75c6cbbe8ea95785e7f892e4cd53d43812944cfda645f57357184106c0551c27

Observation 4f3e2c49-51b9-4b67-a7c0-609c7545be18 · inbound

PVC: Progressive Visual Token Compression for Unified Image and Video Processing in Large Vision-Language Models cites this paper.

PVC: Progressive Visual Token Compression for Unified Image and Video Processing in Large Vision-Language Models UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 15

Resolution
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no resolver link, observed 2026-08-11T16:56:42.296408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:56:42.296408Z digest=sha256:b9e9290377995a9160fdf586cb58fd9eefbf788a487f47c19705a05d034d2fdf

Observation 48bb2c5f-ad73-4e7a-9f66-84a4cc5edecf · inbound

Geo-LLaVA: A Large Multi-Modal Model for Solving Geometry Math Problems with Meta In-Context Learning cites this paper.

Geo-LLaVA: A Large Multi-Modal Model for Solving Geometry Math Problems with Meta In-Context Learning UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 10

Resolution
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no resolver link, observed 2026-08-11T17:25:59.564837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:25:59.564837Z digest=sha256:a9af26d5d372f89145552dc933c1d5744aac9d68f7f47711b98203cde856f3b9

Observation a08d26df-b966-4971-bc91-a8c4295d12c0 · inbound

HoVLE: Unleashing the Power of Monolithic Vision-Language Models with Holistic Vision-Language Embedding cites this paper.

HoVLE: Unleashing the Power of Monolithic Vision-Language Models with Holistic Vision-Language Embedding UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 16

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no resolver link, observed 2026-08-11T10:49:07.967954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:49:07.967954Z digest=sha256:e2b100421818bf34a5ae8d757d878bdfb8309b2287d06d99b87f31335da5d2a4

Observation 8b741d1b-1012-4f4f-b367-94477b568d92 · inbound

Mulberry: Empowering MLLM with o1-like Reasoning and Reflection via Collective Monte Carlo Tree Search cites this paper.

Mulberry: Empowering MLLM with o1-like Reasoning and Reflection via Collective Monte Carlo Tree Search UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 2021

Resolution
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no resolver link, observed 2026-08-11T04:53:11.755682Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:53:11.755682Z digest=sha256:a228f99d61c666e154b98518fab5e8345f449971764428e141c10aa9c7fe8c3b

Observation fdfd1bd1-0cc8-40a8-91c1-2e12abcbc1d8 · inbound

Visual question answering: from early developments to recent advances -- a survey cites this paper.

Visual question answering: from early developments to recent advances -- a survey UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 232

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no resolver link, observed 2026-08-10T21:46:29.172305Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T21:46:29.172305Z digest=sha256:6b00186e7ff5728dbdc0f1b2f4911e232285475b57b682d3f0395ab17c342275

Observation 6b989f37-e729-4aa6-9810-db5354b2b932 · inbound

Eagle 2: Building Post-Training Data Strategies from Scratch for Frontier Vision-Language Models cites this paper.

Eagle 2: Building Post-Training Data Strategies from Scratch for Frontier Vision-Language Models UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-10T18:04:34.084882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:04:34.084882Z digest=sha256:967b47aed1223890903de32771cb341c826c5dd1a8f5982dd382357cb0d79e34

Observation e1d1c496-de37-49e2-80b1-63ba3d4ab459 · inbound

LMM-R1: Empowering 3B LMMs with Strong Reasoning Abilities Through Two-Stage Rule-Based RL cites this paper.

LMM-R1: Empowering 3B LMMs with Strong Reasoning Abilities Through Two-Stage Rule-Based RL UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-16T15:15:46.393301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-16T15:15:46.255296Z digest=sha256:247180055c6fa0729201cc3cc65e24e25d162e356f0e271ee182fcb2ea2f2e09

Observation 958a06aa-5eac-40c1-b422-08e0704bcbb8 · 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 UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-22T22:57:13.384774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-22T22:55:34.238427Z digest=sha256:34a1fd9894789a223c491dbcadb3d1d0e6300192e3ed66222314d1b7ac557331

Observation c960d2c9-ada4-4dc6-b172-2fc19031cb0f · 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 UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T12:37:43.218009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:37:43.218009Z digest=sha256:48185d0dfc4e2e9d6d9413f9e94c33b3161281856a89194f4ab2b3d89e5bde70

Observation fe5c4db8-3aee-4f29-9f22-65cfca5254ff · 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 UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T11:22:40.730330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:22:40.730330Z digest=sha256:681382dcff191fca7b5c67f5db81097ee4cbaac905ea315b3560149e48470dd6

Observation 1179a2cd-654d-4699-b767-6589a11cde83 · inbound

MATP-BENCH: Can MLLM Be a Good Automated Theorem Prover for Multimodal Problems? cites this paper.

MATP-BENCH: Can MLLM Be a Good Automated Theorem Prover for Multimodal Problems? UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 7

Resolution
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no resolver link, observed 2026-08-07T06:08:22.470480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:08:22.470480Z digest=sha256:4bc71b4d994b52d2527371f1f8d95f8d987b1827da84bf5aac81876ddac4b1eb

Observation 59f67add-d782-4305-b878-8925ec32c11e · inbound

CoMemo: LVLMs Need Image Context with Image Memory cites this paper.

CoMemo: LVLMs Need Image Context with Image Memory UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T06:02:30.168722Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:02:30.168722Z digest=sha256:5847ef44738288677da931c277416c1869cfd2e297e82f2ed660ab021d7599d2

Observation 8e9975ef-c8b3-42a2-a663-b1273312b613 · inbound

Ming-Omni: A Unified Multimodal Model for Perception and Generation cites this paper.

Ming-Omni: A Unified Multimodal Model for Perception and Generation UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T04:58:07.001154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:58:07.001154Z digest=sha256:3708ff3e64cf1133a583a8e497c914157a8d2458ee9b4c78568c7ef1e4a11a38

Observation 41dfb96d-7794-4246-ad7b-8536ce3df66d · 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 UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-19T00:41:56.080611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T00:38:43.897231Z digest=sha256:8f5d1b7fa316ef878553bbf4bf2bfde88bf9e04fc865e21d93669e2b40404a95

Observation f0c9996e-e540-407c-a7f5-21eb0c77963c · inbound

LaRe: Latent Refocusing for Multimodal Reasoning cites this paper.

LaRe: Latent Refocusing for Multimodal Reasoning UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-04T00:15:21.786318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T00:15:21.786318Z digest=sha256:abd3b3f92eda9012d8b842ddff96b2b59e2a9fb675b149a598da89cbe929d93c

Observation 3c356ce3-d92d-4740-b91b-d7a1a11fa7e1 · inbound

Toward an Artificial General Teacher: Procedural Geometry Data Generation and Visual Grounding with Vision-Language Models cites this paper.

Toward an Artificial General Teacher: Procedural Geometry Data Generation and Visual Grounding with Vision-Language Models UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-13T20:38:14.638579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-13T20:35:42.626519Z digest=sha256:71da25fe3a714d4ade278344d6ae6d78a711f0afb324b1fd5d7e53bc5cf50869

Observation ec39f578-2a40-4baf-8b0a-d105cafde735 · inbound

OMIBench: Benchmarking Olympiad-Level Multi-Image Reasoning in Large Vision-Language Model cites this paper.

OMIBench: Benchmarking Olympiad-Level Multi-Image Reasoning in Large Vision-Language Model UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 9

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verified exact
arxiv_id, observed 2026-05-11T13:46:03.304920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T00:40:47.562861Z digest=sha256:75d665634f655d3e14e4822af59fa8599644d9c89ce08fabf9a20f50b56f5a95

Observation 53d1fc8a-7c32-4bba-82fe-008918f045c9 · inbound

MathAtlas: A Benchmark for Autoformalization in the Wild cites this paper.

MathAtlas: A Benchmark for Autoformalization in the Wild UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 8

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verified exact
arxiv_id, observed 2026-05-15T05:09:44.484527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-15T05:09:32.268677Z digest=sha256:829e5a59cb88271d3a5aac1e51cef9a47513add3c6453ad0266af8210579e7be

Observation 74bfddd6-5029-4e47-9609-143e8656c035 · inbound

FormalAnalyticGeo: A Neural-Symbolic Based Framework for Multimodal Analytic Geometry Problem Generation cites this paper.

FormalAnalyticGeo: A Neural-Symbolic Based Framework for Multimodal Analytic Geometry Problem Generation UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

Reference 5

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no resolver link, observed 2026-08-02T06:15:33.332857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:15:33.332857Z digest=sha256:32bf21ff39e810c09d077c013849a49de9f8045668983dc0e2bc8a96ebaf1995