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7604
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in the parallelogram ABCD, it is known that AC and BD intersect at point O, the sum of the two diagonals is 20.0, and the length of C...
{"<|obj1|>":[0,0,111,83],"<|obj2|>":[4,0,108,66],"<|obj3|>":[84,4,108,28],"<|obj4|>":[45,0,111,67],"<|obj5|>":[65,9,108,75],"<|obj6|>":[4,9,94,56],"<|obj7|>":[9,4,111,75],"<|obj8|>":[42,51,84,83],"<|obj9|>":[28,4,108,28]}
[ 112, 84 ]
2,288
1514
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, if DE is parallel to BC and AD/AB = 2/6, and BC = 24 cm, what is the length of DE?\nChoices:\nA: 24.0\nB: 12.0\nC: 8.0\nD: 6.0.\nPlease answ...
{"<|obj1|>":[4,9,84,103],"<|obj2|>":[28,28,94,47]}
[ 112, 112 ]
1,271
21
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Considering the diagram where AB is parallel to CD and angle A measures 110 degrees, what is the degree measure of angle 1?\nChoices:\nA: 110°\nB: 100°\nC: 8...
{"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,0,154,105],"<|obj3|>":[42,0,147,98]}
[ 168, 112 ]
1,641
883
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, consider AB as the diameter of circle O. Let's denote the measure of angle AOC as variable u (u = 130.0 degrees). What is the degree...
{"<|obj1|>":[0,41,41,101],"<|obj2|>":[11,11,41,89],"<|obj3|>":[17,0,139,106],"<|obj4|>":[52,0,139,101],"<|obj5|>":[0,11,139,111],"<|obj6|>":[11,23,139,111],"<|obj7|>":[64,47,129,111],"<|obj8|>":[75,0,117,101],"<|obj9|>":[11,26,82,97]}
[ 140, 112 ]
2,023
748
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, consider AB as the tangent line to circle O with A as the point of tangency. If the measure of central angle AOB is represented by the ...
{"<|obj1|>":[70,19,210,160],"<|obj2|>":[128,59,210,132],"<|obj3|>":[23,0,257,156],"<|obj4|>":[23,0,279,167],"<|obj5|>":[0,0,279,167]}
[ 280, 168 ]
2,272
819
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, with angle A measuring 80 degrees and point O being the incenter, what is the size of angle BOC?\nChoices:\nA: 100°\nB: 160°\nC: 80°\nD: 130...
{"<|obj1|>":[18,0,223,111],"<|obj2|>":[45,0,223,111],"<|obj3|>":[37,46,131,111],"<|obj4|>":[9,0,223,111],"<|obj5|>":[112,0,223,111],"<|obj6|>":[56,0,223,66],"<|obj7|>":[18,0,223,111],"<|obj8|>":[28,0,223,111],"<|obj9|>":[65,0,223,111]}
[ 224, 112 ]
3,242
1691
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Let O be a circle with points A, B, and C located on it. If the measure of angle AOB is represented as 'm' units (m = 110.0), what is the value of angle ACB?...
{"<|obj1|>":[0,0,108,80],"<|obj2|>":[42,32,61,56],"<|obj3|>":[0,56,24,89],"<|obj4|>":[88,65,103,84],"<|obj5|>":[32,88,47,98],"<|obj6|>":[9,14,103,98],"<|obj7|>":[9,4,108,108],"<|obj8|>":[42,32,61,56],"<|obj9|>":[42,32,61,56],"<|obj10|>":[42,28,98,84]}
[ 112, 112 ]
2,681
398
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure where line a and line b are intersected by line c, and line a is parallel to line b, what is the degree measure of angle 2 if angle 1 mea...
{"<|obj1|>":[0,0,139,101],"<|obj2|>":[5,5,117,111],"<|obj3|>":[11,0,47,111]}
[ 140, 112 ]
1,928
2051
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in the isosceles triangle ABC, AB = AC, BD bisects angle ABC, angle A = 36.0, then the degree of angle BDC is ()\nChoices:\nA: 36°\nB...
{"<|obj1|>":[0,0,83,139],"<|obj2|>":[5,0,66,139],"<|obj3|>":[9,58,80,129],"<|obj4|>":[0,5,83,139]}
[ 84, 140 ]
1,521
539
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the lateral surface of a cone is expanded to form a sector with a radius of 4.0 and a central angle of 90 degrees, what is the circumference of the cone's...
{"<|obj1|>":[56,0,223,84],"<|obj2|>":[0,0,223,111]}
[ 224, 112 ]
2,018
432
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram of triangle ABC, points D and E are located on sides AB and AC respectively. It is known that DE is parallel to BC. If AD measures 2.0 u...
{"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,51,103,80],"<|obj3|>":[4,84,14,98],"<|obj4|>":[23,0,98,70],"<|obj5|>":[0,51,33,108]}
[ 112, 112 ]
1,717
4597
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: According to the diagram, points A, B, and C are three points on the circle O. If angle AOB is 76°, then the degree of angle C is ().\nChoices:\nA: 24°\nB: 3...
{"<|obj1|>":[0,0,139,139],"<|obj2|>":[40,5,65,30],"<|obj3|>":[0,58,30,129],"<|obj4|>":[105,81,129,105],"<|obj5|>":[40,0,123,105]}
[ 140, 140 ]
2,186
577
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the figure, point P lies outside circle O. The tangents PA and PB are drawn from point P to circle O at points A and B, respectively. If the length of ...
{"<|obj1|>":[0,0,82,83],"<|obj2|>":[155,49,188,91],"<|obj3|>":[106,24,188,124],"<|obj4|>":[106,16,195,132],"<|obj5|>":[81,8,147,66],"<|obj6|>":[8,0,195,139],"<|obj7|>":[49,0,147,58],"<|obj8|>":[0,0,195,139],"<|obj9|>":[106,8,172,139],"<|obj10|>":[0,0,195,139],"<|obj11|>":[81,0,195,139]}
[ 196, 140 ]
3,209
82
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In parallelogram ABCD, given that BC is 40 units long, AC is 32 units long, and BD is 56 units long, what is the perimeter of triangle AOD?\nChoices:\nA: 64....
{"<|obj1|>":[0,0,251,111],"<|obj2|>":[0,71,74,111],"<|obj3|>":[42,0,242,111],"<|obj4|>":[10,0,242,102],"<|obj5|>":[21,0,251,92],"<|obj6|>":[63,10,126,72],"<|obj7|>":[10,30,126,102],"<|obj8|>":[63,0,251,92],"<|obj9|>":[0,0,251,92]}
[ 252, 112 ]
2,943
1855
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, if angle AOB is represented by the variable 'x' (x = 70.0), what is the measure of angle ACB? Express the angle as 'y' in terms of 'x'.\...
{"<|obj1|>":[0,0,111,111],"<|obj2|>":[23,0,111,111],"<|obj3|>":[23,9,111,111],"<|obj4|>":[0,4,111,111]}
[ 112, 112 ]
1,803
1467
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the total perimeter of the quadrilateral ABCD given that AD = 3cm and AB = 2cm as depicted in the figure?\nChoices:\nA: 10cm\nB: 6cm\nC: 5cm\nD: 4cm....
{"<|obj1|>":[7,0,167,83],"<|obj2|>":[49,7,167,83],"<|obj3|>":[0,42,112,83],"<|obj4|>":[98,63,112,83],"<|obj5|>":[98,63,119,83]}
[ 168, 84 ]
1,223
1520
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Recount the details depicted in the figure..\nPlease answer the question using a long-chain reasoning style and think step by step." }, { "from": "gpt", "value": "So I've go...
{"<|obj1|>":[28,23,80,83],"<|obj2|>":[0,8,67,76],"<|obj3|>":[0,60,24,80],"<|obj4|>":[88,46,108,80],"<|obj5|>":[60,0,75,14],"<|obj6|>":[0,60,98,80],"<|obj7|>":[88,51,103,80],"<|obj8|>":[84,42,108,80],"<|obj9|>":[22,0,111,83],"<|obj10|>":[0,0,111,83],"<|obj11|>":[0,0,111,83],"<|obj12|>":[84,0,108,80],"<|obj13|>":[32,0,11...
[ 112, 84 ]
1,476
1334
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Triangle ABC is shown in the figure with midpoints D, E, and F on its sides. By connecting DE, EF, and FD, triangle DEF is formed. If the perimeter of triang...
{"<|obj1|>":[0,0,139,83],"<|obj2|>":[11,0,129,83],"<|obj3|>":[35,29,76,72],"<|obj4|>":[52,65,76,83],"<|obj5|>":[99,23,135,54]}
[ 140, 84 ]
1,289
1939
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided figure, angle AOB is identified as the central angle of circle O, with a measurement of 60.0 degrees. What is the measure of the circumferenc...
{"<|obj1|>":[14,0,147,147],"<|obj2|>":[14,0,154,154],"<|obj3|>":[0,35,154,70],"<|obj4|>":[14,0,147,147]}
[ 168, 168 ]
2,071
1501
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, a conical chimney cap is made from a sector iron sheet with a central angle of 270 degrees. The diameter of the bottom circle of the con...
{"<|obj1|>":[157,10,231,92],"<|obj2|>":[0,0,147,111]}
[ 252, 112 ]
2,452
118
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, circle A has a radius of 5.0 units. Chords BC and ED have central angles BAC and EAD, respectively. If DE measures 6.0 units and the su...
{"<|obj1|>":[4,4,108,103],"<|obj2|>":[28,32,70,70],"<|obj3|>":[9,88,33,111],"<|obj4|>":[4,37,111,108],"<|obj5|>":[23,4,111,103],"<|obj6|>":[14,14,98,108]}
[ 112, 112 ]
2,602
864
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Let triangle ABC be inscribed in circle O, as illustrated in the figure. Connecting points OA and OB, if angle ABO is equal to 40 degrees, what is the measur...
{"<|obj1|>":[9,0,111,111],"<|obj2|>":[9,4,111,111],"<|obj3|>":[4,9,103,103],"<|obj4|>":[28,4,111,98]}
[ 112, 112 ]
1,748
1742
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If in the provided figure line c intersects both lines a and b, where a is parallel to b, and angle 1 is 60 degrees, what would be the degree measure of angl...
{"<|obj1|>":[4,32,111,47],"<|obj2|>":[14,74,98,111],"<|obj3|>":[18,4,47,33],"<|obj4|>":[32,0,111,111],"<|obj5|>":[46,4,111,111]}
[ 112, 112 ]
4,115
511
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, D, E, and F are the midpoints of sides BC, AC, and AB respectively, AH is perpendicular to BC at H, and HE = 16. What is the length of DF?\n...
{"<|obj1|>":[8,0,195,111],"<|obj2|>":[73,79,107,111],"<|obj3|>":[114,0,188,96],"<|obj4|>":[49,31,115,96],"<|obj5|>":[114,0,156,32],"<|obj6|>":[114,87,147,111],"<|obj7|>":[114,39,188,111],"<|obj8|>":[73,39,107,111]}
[ 196, 112 ]
2,554
110
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, AB is the chord of circle O, and point C is on the circle. It is known that angle AOB = 100.0, then angle C = ()\nChoices:\nA: 40°\nB...
{"<|obj1|>":[4,0,98,47],"<|obj2|>":[14,9,98,83],"<|obj3|>":[88,14,111,38]}
[ 112, 84 ]
1,368
259
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, we have rhombus ABCD with point E as the midpoint of edge AB. The segment EF is also parallel to BC and intersects diagonal AC at po...
{"<|obj1|>":[0,0,195,83],"<|obj2|>":[16,0,74,83],"<|obj3|>":[32,8,123,59],"<|obj4|>":[89,25,123,68],"<|obj5|>":[0,0,195,83],"<|obj6|>":[24,0,164,68],"<|obj7|>":[8,8,107,83]}
[ 196, 84 ]
4,652
1737
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that AB is the diameter of circle O and points C and D are on the circle, and angle BCD measures 44°, what is the degree of angle ABD, as shown in the ...
{"<|obj1|>":[0,33,101,135],"<|obj2|>":[0,63,161,154],"<|obj3|>":[63,126,91,167],"<|obj4|>":[98,0,126,35],"<|obj5|>":[21,0,167,140],"<|obj6|>":[42,0,167,167],"<|obj7|>":[42,0,167,167],"<|obj8|>":[42,0,167,167],"<|obj9|>":[20,13,155,148],"<|obj10|>":[14,0,167,167],"<|obj11|>":[0,0,167,167],"<|obj12|>":[0,7,84,91]}
[ 168, 168 ]
3,232
1043
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the measure of angle AOB in the provided figure is 150.0 degrees and angle AOC is equal to angle BOD, both measuring 90.0 degrees, what is the degree meas...
{"<|obj1|>":[0,0,139,83],"<|obj2|>":[0,17,41,60],"<|obj3|>":[122,59,135,78],"<|obj4|>":[0,0,100,72],"<|obj5|>":[64,17,105,60]}
[ 140, 84 ]
1,498
899
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, point O is a point in triangle ABC, OA = OB = OC, and angle ABO = 40.0, then the size of angle ACB is ()\nChoices:\nA: 40°\nB: 50°\nC...
{"<|obj1|>":[7,0,167,161],"<|obj2|>":[42,70,77,91],"<|obj3|>":[14,0,147,154],"<|obj4|>":[35,0,167,161],"<|obj5|>":[14,0,167,161],"<|obj6|>":[35,0,167,161],"<|obj7|>":[14,0,167,167]}
[ 168, 168 ]
3,278
1286
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the diagram showing triangle ABC, where points D, E, and F are the midpoints of BC, AD, and BE respectively, and with the area of triangle ABC equal to...
{"<|obj1|>":[7,0,167,111],"<|obj2|>":[70,84,84,105],"<|obj3|>":[56,0,91,56],"<|obj4|>":[7,56,56,98],"<|obj5|>":[42,0,167,111],"<|obj6|>":[7,0,167,105],"<|obj7|>":[42,0,167,105],"<|obj8|>":[14,0,161,111]}
[ 168, 112 ]
3,131
234
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, line AB and CD intersect at point O. It is known that angle AOD = 140°. The size of angle BOC is ()\nChoices:\nA: 20°\nB: 40°\nC: 70°...
{"<|obj1|>":[75,23,139,78],"<|obj2|>":[105,5,135,78],"<|obj3|>":[35,0,139,83],"<|obj4|>":[35,5,123,83],"<|obj5|>":[29,0,139,83],"<|obj6|>":[35,5,123,83],"<|obj7|>":[29,0,135,83]}
[ 140, 84 ]
3,788
460
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that AB is parallel to CD and angle 1 measures 140° in the figure, can you determine the measure of angle D?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°....
{"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,32,111,56],"<|obj3|>":[0,60,108,80],"<|obj4|>":[28,0,98,70]}
[ 112, 84 ]
2,319
1238
[ { "from": "human", "value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in order to measure the distance between points B and C on an irregular green area, we can select point A on one side of the green ar...
{"<|obj1|>":[64,0,139,83],"<|obj2|>":[0,35,18,54],"<|obj3|>":[70,0,88,30],"<|obj4|>":[99,65,123,78],"<|obj5|>":[0,0,70,83],"<|obj6|>":[52,53,70,66],"<|obj7|>":[0,5,70,83]}
[ 140, 84 ]
2,251
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v1g: 300K Multimodal Reasoning Traces with Interleaved Grounding

Paper | Code | Project Page | Model | Sample

v1g is the full training dataset for v1 (accepted at COLM 2026): [N_ITEMS] multimodal reasoning traces with interleaved visual grounding annotations. Each trace is a long-chain reasoning solution to a visual (mostly mathematical) problem in which the model explicitly points at image regions via detect(...) calls, linking every referenced object to a bounding box.

Introduction

When thinking with images, humans rarely rely on a single glance: they revisit visual evidence while reasoning. In contrast, most Multimodal Language Models encode an image once to key-value cache and then reason purely in text, making it hard to re-ground intermediate steps. v1 is a lightweight extension for active visual referencing via point-and-copy: the model selects relevant image patches and copies their embeddings back into the reasoning stream. v1g provides the 300K grounded reasoning traces used to train this behavior.

Schema

Field Type Description
id string unique example id
image Image the problem image
conversations list of {from, value} ShareGPT-style: human turn (question, prefixed with <image>\n) and gpt turn (grounded reasoning trace)
regions string (JSON) mapping from pointer tokens <|objK|> to [x1, y1, x2, y2] boxes in image_size coordinates
image_size [width, height] coordinate space of regions
num_tokens int approximate token count of the trace

Inside a trace, the model grounds objects with lines such as

detect(query="tangent line AB", objects=["<obj1><|obj1|>"])

and later refers back to <obj1> while reasoning. The <|objK|> tokens are the pointer targets whose boxes are stored in regions.

How to use

from datasets import load_dataset

ds = load_dataset("kjunh/v1g", split="train")
example = ds[0]
example["image"].show()

To reproduce v1-7B training, install the training dependencies from the code release. The trainer reads the Parquet dataset directly from the Hub; no JSON or PNG materialization step is required:

pip install -r requirements.txt -r requirements-train.txt
bash train.sh

A 100-item subset for quick browsing is available at kjunh/v1g-sample.

License and provenance

The v1g annotations (reasoning traces and grounding boxes) are released under Apache-2.0. The underlying images are drawn from the source pool used to construct the training data, including MathV360K, MAVIS Math MetaGen, IconQA, Geo170K, RAVEN, TabMWP, Geometry3K, GeomVerse, and Cambrian Math. Images retain the licenses and terms of their respective source datasets; users are responsible for complying with those terms. See the paper for full construction details.

Citation

@misc{chung2025v1learningpointvisual,
      title={v1: Learning to Point Visual Tokens for Multimodal Grounded Reasoning}, 
      author={Jiwan Chung and Junhyeok Kim and Siyeol Kim and Jaeyoung Lee and Min Soo Kim and Youngjae Yu},
      year={2025},
      eprint={2505.18842},
      archivePrefix={arXiv},
      primaryClass={cs.CL},
      url={https://arxiv.org/abs/2505.18842}, 
}
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Paper for kjunh/v1g