Paper Citation Record · LEDGER

Improving Multimodal Reasoning via Worst Dimension Optimization

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2606.07801.

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

pith.paper-citation-record.v1
2606.07801 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T21:55:57.691185Z

measured 42 of 42 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact19
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e99716a8-8d0d-4069-95af-b38b06c19a9c · outbound

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

Improving Multimodal Reasoning via Worst Dimension Optimization Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scaling

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.804063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 42ee378d-0bf6-42a0-b4d0-4eaeb16dfbb3 · outbound

This paper cites Dense point clouds matter: Dust-gs for scene reconstruction from sparse viewpoints.

Improving Multimodal Reasoning via Worst Dimension Optimization Dense point clouds matter: Dust-gs for scene reconstruction from sparse viewpoints

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e87c439-2e8c-479d-b3b7-fb1e0b63ebf1 · outbound

This paper cites Benchmarking multimodal cot reward model stepwise by visual program.

Improving Multimodal Reasoning via Worst Dimension Optimization Benchmarking multimodal cot reward model stepwise by visual program

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90d15e96-d409-4d4a-9b50-c4a9c5f5f5ca · outbound

This paper cites rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking.

Improving Multimodal Reasoning via Worst Dimension Optimization rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.796624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 19bb96d0-9e8c-4f33-afbe-a965f5575564 · outbound

This paper cites Learning an efficient optimizer via hybrid-policy sub-trajectory balance.arXiv preprint arXiv:2511.00543, 2025a.

Improving Multimodal Reasoning via Worst Dimension Optimization Learning an efficient optimizer via hybrid-policy sub-trajectory balance.arXiv preprint arXiv:2511.00543, 2025a

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.799262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 24ae5da2-89f5-40b5-8ac2-44bdda8cd960 · outbound

This paper cites Vision-R1: Incentivizing Reasoning Capability in Multimodal Large Language Models.

Improving Multimodal Reasoning via Worst Dimension Optimization Vision-R1: Incentivizing Reasoning Capability in Multimodal Large Language Models

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.801732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c4b1e95f-ddcc-40fe-9b71-065d8c920170 · outbound

This paper cites RAM: Recover Any 3D Human Motion in-the-Wild.

Improving Multimodal Reasoning via Worst Dimension Optimization RAM: Recover Any 3D Human Motion in-the-Wild

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.791400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 25bd7bbc-51e2-4960-a9a7-2369903036db · outbound

This paper cites A diagram is worth a dozen images.

Improving Multimodal Reasoning via Worst Dimension Optimization A diagram is worth a dozen images

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df5a02d2-53bd-4e78-9d48-61a9d1396adb · outbound

This paper cites Nv-embed: Improved techniques for train- ing llms as generalist embedding models.

Improving Multimodal Reasoning via Worst Dimension Optimization Nv-embed: Improved techniques for train- ing llms as generalist embedding models

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b252fc26-6f34-4ea1-a859-b48504e39f71 · outbound

This paper cites LLaVA-OneVision: Easy Visual Task Transfer.

Improving Multimodal Reasoning via Worst Dimension Optimization LLaVA-OneVision: Easy Visual Task Transfer

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.793531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d8c4b3ab-19e6-4b6c-b1d3-b51974ff04ed · outbound

This paper cites Human motion instruction tuning.

Improving Multimodal Reasoning via Worst Dimension Optimization Human motion instruction tuning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

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Observation 2da19a14-8f2a-4170-a16d-5140d9c2529b · outbound

This paper cites Multiple human motion understanding.

Improving Multimodal Reasoning via Worst Dimension Optimization Multiple human motion understanding

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

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Observation 5123f71f-8df4-4444-b6a4-f8e799718f51 · outbound

This paper cites Image semantic segmentation via chain- of-thought prompts.

Improving Multimodal Reasoning via Worst Dimension Optimization Image semantic segmentation via chain- of-thought prompts

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbdd4309-6d32-4d6a-a1b8-24a3a0c1e1f8 · outbound

This paper cites Graph Canvas for Controllable 3D Scene Generation.

Improving Multimodal Reasoning via Worst Dimension Optimization Graph Canvas for Controllable 3D Scene Generation

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.788803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3c249712-ad54-499f-be1f-103e69da9a96 · outbound

This paper cites Mathvista: Evaluating mathematical reasoning of foundation models in visual contexts.

Improving Multimodal Reasoning via Worst Dimension Optimization Mathvista: Evaluating mathematical reasoning of foundation models in visual contexts

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 758b02c2-9bbd-4c5b-96f8-58ff6ff3930e · outbound

This paper cites Ovis: Structural Embedding Alignment for Multimodal Large Language Model.

Improving Multimodal Reasoning via Worst Dimension Optimization Ovis: Structural Embedding Alignment for Multimodal Large Language Model

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.785734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2f0c2787-b8eb-4ac6-ac3b-af4567d8c2c1 · outbound

This paper cites Improve Mathematical Reasoning in Language Models by Automated Process Supervision.

Improving Multimodal Reasoning via Worst Dimension Optimization Improve Mathematical Reasoning in Language Models by Automated Process Supervision

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.779823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3ad855b-e1b8-4020-baf8-8e4dfab5d167 · outbound

This paper cites Ursa: Understanding and verifying chain-of- thought reasoning in multimodal mathematics.arXiv e- prints, pages arXiv–2501,.

Improving Multimodal Reasoning via Worst Dimension Optimization Ursa: Understanding and verifying chain-of- thought reasoning in multimodal mathematics.arXiv e- prints, pages arXiv–2501,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42c34cba-879e-4744-bcf6-e8cacf0e4451 · outbound

This paper cites Chartqa: A bench- mark for question answering about charts with visual and logical reasoning.

Improving Multimodal Reasoning via Worst Dimension Optimization Chartqa: A bench- mark for question answering about charts with visual and logical reasoning

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97037d53-e865-4a65-b893-5b4ac21661ea · outbound

This paper cites Training vision-language pro- cess reward models for test-time scaling in multimodal rea- soning: Key insights and lessons learned.

Improving Multimodal Reasoning via Worst Dimension Optimization Training vision-language pro- cess reward models for test-time scaling in multimodal rea- soning: Key insights and lessons learned

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.786548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 33052ebb-9bef-4d81-9bd2-ead709adf165 · outbound

This paper cites Mutual reason- ing makes smaller llms stronger problem-solver.

Improving Multimodal Reasoning via Worst Dimension Optimization Mutual reason- ing makes smaller llms stronger problem-solver

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 929facf5-a1b9-4ebb-8c0d-5f5ea592d403 · outbound

This paper cites an unresolved cited work.

Improving Multimodal Reasoning via Worst Dimension Optimization Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce4a326d-4a84-4e1d-98fb-fbab353ca368 · outbound

This paper cites Intrinsic entropy of context length scaling in llms.

Improving Multimodal Reasoning via Worst Dimension Optimization Intrinsic entropy of context length scaling in llms

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f87b0301-7f26-4395-b342-8f183e42b82f · outbound

This paper cites Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters.

Improving Multimodal Reasoning via Worst Dimension Optimization Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.782921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ae37ca32-ec1b-424b-84a7-296d7e773a93 · outbound

This paper cites Llamav-o1: Rethinking step-by-step visual reasoning in llms.

Improving Multimodal Reasoning via Worst Dimension Optimization Llamav-o1: Rethinking step-by-step visual reasoning in llms

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e942fe3f-4786-4ee7-9603-7cfadce43950 · outbound

This paper cites Qwen2-VL: Enhancing Vision-Language Model's Perception of the World at Any Resolution.

Improving Multimodal Reasoning via Worst Dimension Optimization Qwen2-VL: Enhancing Vision-Language Model's Perception of the World at Any Resolution

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.791207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2a6a6c27-42be-4e86-9480-70f58ec5bcb4 · outbound

This paper cites Enhancing the Reasoning Ability of Multimodal Large Language Models via Mixed Preference Optimization.

Improving Multimodal Reasoning via Worst Dimension Optimization Enhancing the Reasoning Ability of Multimodal Large Language Models via Mixed Preference Optimization

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.795919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b5cdf414-e7bc-41d9-8cf2-6a75999e1cc9 · outbound

This paper cites Multi-step problem solving through a verifier: An empir- ical analysis on model-induced process supervision.

Improving Multimodal Reasoning via Worst Dimension Optimization Multi-step problem solving through a verifier: An empir- ical analysis on model-induced process supervision

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed2bd02a-a54d-46d2-bded-3debe6d62791 · outbound

This paper cites VisualPRM: An Effective Process Reward Model for Multimodal Reasoning.

Improving Multimodal Reasoning via Worst Dimension Optimization VisualPRM: An Effective Process Reward Model for Multimodal Reasoning

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.806679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8438769d-4f5a-4628-8cbe-782ad75e184d · outbound

This paper cites Beyond Examples: High-level Automated Reasoning Paradigm in In-Context Learning via MCTS.

Improving Multimodal Reasoning via Worst Dimension Optimization Beyond Examples: High-level Automated Reasoning Paradigm in In-Context Learning via MCTS

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T17:37:14.794057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1fa0048c-73b5-486d-9728-3d95bf458f43 · outbound

This paper cites Llava-cot: Let vi- sion language models reason step-by-step.

Improving Multimodal Reasoning via Worst Dimension Optimization Llava-cot: Let vi- sion language models reason step-by-step

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7a61164-452e-48ba-9eb5-6f29d76accd6 · outbound

This paper cites 3dsceneeditor: Controllable 3d scene editing with gaussian splatting.

Improving Multimodal Reasoning via Worst Dimension Optimization 3dsceneeditor: Controllable 3d scene editing with gaussian splatting

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.777687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d65e27b7-5e6a-4f2d-a3cc-ef245e4b60f3 · outbound

This paper cites 3dsceneeditor: Controllable 3d scene editing with gaussian splatting.

Improving Multimodal Reasoning via Worst Dimension Optimization 3dsceneeditor: Controllable 3d scene editing with gaussian splatting

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecabd59b-c43d-436f-9fff-09a342fea043 · outbound

This paper cites R1- onevision: Advancing generalized multimodal reasoning through cross-modal formalization.

Improving Multimodal Reasoning via Worst Dimension Optimization R1- onevision: Advancing generalized multimodal reasoning through cross-modal formalization

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa942ff7-cf88-43d2-829f-3c3093c309c9 · outbound

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

Improving Multimodal Reasoning via Worst Dimension Optimization MiniCPM-V: A GPT-4V Level MLLM on Your Phone

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.800932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e6e906a0-c40e-4b76-b3fc-8c7fffef406a · outbound

This paper cites CountLLM: Towards Generalizable Repetitive Ac- tion Counting via Large Language Model.

Improving Multimodal Reasoning via Worst Dimension Optimization CountLLM: Towards Generalizable Repetitive Ac- tion Counting via Large Language Model

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ac6dba7-02a7-4b3a-8b5f-4fd4f7bf9966 · outbound

This paper cites Mulberry: Empowering mllm with o1-like reasoning and reflection via collective monte carlo tree search.Advances in Neural Information Processing Systems, 38:29918–29952,.

Improving Multimodal Reasoning via Worst Dimension Optimization Mulberry: Empowering mllm with o1-like reasoning and reflection via collective monte carlo tree search.Advances in Neural Information Processing Systems, 38:29918–29952,

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8834c047-b995-4af3-8186-267c35ef4b62 · outbound

This paper cites Mmmu: A massive multi-discipline multimodal understanding and reasoning benchmark for expert agi.

Improving Multimodal Reasoning via Worst Dimension Optimization Mmmu: A massive multi-discipline multimodal understanding and reasoning benchmark for expert agi

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38a49562-928f-4857-97b0-29744c044a89 · outbound

This paper cites Birch: an efficient data clustering method for very large databases.ACM sigmod record, 25(2):103–114,.

Improving Multimodal Reasoning via Worst Dimension Optimization Birch: an efficient data clustering method for very large databases.ACM sigmod record, 25(2):103–114,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T21:55:57.691185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 771d9f0b-3317-4172-85eb-b6f208f24f83 · outbound

This paper cites InternLM-XComposer-2.5: A Versatile Large Vision Language Model Supporting Long-Contextual Input and Output.

Improving Multimodal Reasoning via Worst Dimension Optimization InternLM-XComposer-2.5: A Versatile Large Vision Language Model Supporting Long-Contextual Input and Output

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.769228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f16d2f8c-7666-4f98-9902-0b828bb51fff · outbound

This paper cites R1-VL: Learning to Reason with Multimodal Large Language Models via Step-wise Group Relative Policy Optimization.

Improving Multimodal Reasoning via Worst Dimension Optimization R1-VL: Learning to Reason with Multimodal Large Language Models via Step-wise Group Relative Policy Optimization

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-07-02T17:37:14.803241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fc809c8a-8792-4516-8ed5-4ec02286e17d · outbound

This paper cites Psgs: Text-driven panorama sliding scene generation via gaussian splatting.arXiv preprint arXiv:2602.00463, 2026.

Improving Multimodal Reasoning via Worst Dimension Optimization Psgs: Text-driven panorama sliding scene generation via gaussian splatting.arXiv preprint arXiv:2602.00463, 2026

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:37:14.798473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.