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Paper Citation Record · LEDGER

UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 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 16 of 16 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 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:37:43.218009Z

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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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:29:30.032408Z digest=sha256:b774d0812ca4a7d6276dfd15b74da32a454690116e7b2830eaca2ea9fe62b0db

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T21:55:40.808698Z digest=sha256:59a9acea3811f377fd2915ce8ba1c15a71adef7872ae73ab83f1f2473e35a6aa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T13:23:57.588851Z digest=sha256:24a658a4cf0700e2ac77f0d9d29548bb8480c8a73af511ffa316aa909bcb46ae

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T15:15:46.255296Z digest=sha256:a30eb4937d333c8b53bb3df75f4d74d0003f4f252c5a495d8ce049325ac544a6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-22T22:55:34.238427Z digest=sha256:0e4fa6c7f58ce30bd749cdfef7f9086417488e7e360ad793b5f2450394de4096

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:ff83ad6d3e9a7fc98fc430edf41c7a027c75085125bbd9e1cbf7e521aadb8499

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:c7b7e3daf1141a5617b7ac4f1ca881cd7c58ddfa8a70d8be9d85cd616095f8bd

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
unresolved
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=sha256:4844362da4cd689c284674a5aa167b4e75c5863beb0e2139c41f09f0b065d119

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:02:30.168722Z digest=sha256:5b084ded5b8ad8609627e95ed6cfa3057d930d862ea57e7cb4a5aa051d657c81

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:e03dcc11e1a54212090256813022aa871a80e5017ecdc7b33d49e95f4ece89b0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T00:38:43.897231Z digest=sha256:0db4b9bc2be7c8129bd719e9ba62b037fcc0aee330478c72c179473d47a3e939

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:a4ffb609c2094c3ff01ef0a255cd47d5e6f18edfef1958068ccdf863f3194b52

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-13T20:35:42.626519Z digest=sha256:dd22f7802be2d0b8edd8856550a502dacc767f596e4a53845532f66337732538

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T00:40:47.562861Z digest=sha256:69b78c9281a28ce37640534a1c6e4bb7b568b21875fa1102a48fcbfeda7e0c0a

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T05:09:32.268677Z digest=sha256:3abbde6c8c9dae4b286eae931b814f25b68ddd8d9006b6547c3c009ead01b665

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

Resolution
unresolved
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:cc9cab8345f7e17f982ba2e5cda98ee0c6b9744e67ff729d0cd2eeeec243e17e