Add metadata: README, croissant, manifest
Browse files- README.md +108 -0
- croissant.json +166 -0
- selected_cases.json +123 -0
README.md
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# Apple-Pi: Physics Infographics Evaluation Subset
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A 100-case evaluation subset (50 simulation + 50 realworld) for physics-infographic reasoning evaluation in image and video generation models.
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## Overview
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This dataset contains ground-truth recordings and annotations for physics scenes spanning 9 simulated tasks and 7 realworld categories. Each case provides full per-frame rendering, instance segmentation, velocity tracking, depth, mask, and human-readable physical-parameter annotations, suitable for evaluating multi-step physics understanding in generative models.
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## Folder Structure
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```
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apple-pi/
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├── README.md
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├── croissant.json # Croissant + RAI metadata
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├── selected_cases.json # Manifest with case IDs and sampling strategies
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├── sim_subset/ # 50 simulation cases
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│ ├── at_rest/0/, at_rest/2/, ...
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│ ├── circular/0/, circular/newbatch_5/, ...
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│ └── ... (9 physics tasks)
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└── realworld_subset/ # 50 realworld cases
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├── Composition/0/
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├── Gravity/Freefall/1/
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├── ConservationofMomentum/InelasticCollision/1/
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└── NewtonsFirstLaw/AtRest/1/
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```
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## Per-Case Contents (Simulation)
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Each `sim_subset/<task>/<case_id>/`:
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| File / Folder | Description |
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|---|---|
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| `annotation.txt` | Human-readable physical parameters (mass, velocity, friction, etc.) |
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| `physics_duration.txt` | Total physics-valid duration in seconds |
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| `formula_info.json` | 4 candidate formulas + correct answer + variable substitution hints |
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| `prompt.txt` | Original task prompt |
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| `initial_state/` | First-frame data: `rgb_0000.png` (with annotations), `rgb_0000_white_bg.png`, `rgb_0000_white_bg_obj.png` (object only on white), instance segmentation, mapping, depth, density, mask, velocity, camera parameters |
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| `instantaneous_velocity/` | Per-object velocity at a target time: `velocity.json`, `velocity_annotated.png`, `mask.npy`, `mapping.json` |
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| `instance_segmentation/maps.npz` | Full-sequence instance segmentation maps |
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| `mask/maps.npz` | Full-sequence foreground masks |
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| `velocity/maps.npz` | Full-sequence per-pixel velocity maps |
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| `depth/maps.npz` | Full-sequence depth maps |
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| `density/`, `camera_parameters/` | Per-frame density buffers and camera parameters |
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| `rgb/0000.png ~ 00NN.png` | Rendered video frames at 24 fps (NN = round(physics_duration × 24)) |
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## Per-Case Contents (Realworld)
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Each `realworld_subset/<category>/[<subcategory>/]<case_id>/`:
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| File / Folder | Description |
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|---|---|
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| `annotation.txt` | Physical parameters of the recorded scene |
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| `annotation_config.json` | Parameter source / unit metadata |
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| `formula_info.json` | Same 4-choice formula schema as simulation |
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| `physics_duration.txt` | Validated motion duration |
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| `initial_state/` | First-frame extraction: `rgb_0000.png`, `rgb_0000_white_bg.png`, `rgb_0000_white_bg_obj.png`, instance segmentation, mapping, mask |
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| `instance_segmentation/maps.npz` | Per-frame instance segmentation |
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| `mask/maps.npz` | Per-frame foreground mask |
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| `instantaneous_velocity/` | Velocity reference at target time: `velocity.json`, `velocity_annotated.png`, `mask.npy` |
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| `rgb/video.mp4` | Original video clip |
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## Tasks Covered
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### Simulation (9 physics tasks, 50 cases)
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- `at_rest`, `circular`, `freefall`, `inclined_plane`
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- `inelastic_collision`, `perfectly_elastic_collision`, `perfectly_inelastic_collision`
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- `projectile`, `uniform_linear`
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### Realworld (7 categories, 50 cases)
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- `NewtonsFirstLaw/AtRest`
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- `Gravity/Freefall`, `Gravity/Projectile`
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- `ConservationofMomentum/{InelasticCollision, PerfectlyElasticCollision, PerfectlyInelasticCollision}`
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- `Composition` (multi-task)
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## Sampling
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- **Simulation**: 50 cases selected from a larger 100-case pool with stratified sampling (seed=42, OLD-first); excludes any cases with rendering artifacts.
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- **Realworld**: 50 cases sampled from a 157-case pool with stratified sampling proportional to per-subcategory counts (seed=42).
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See `selected_cases.json` for full case-ID lists and sampling metadata.
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## Intended Use
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- Evaluating image-generation and video-generation models on physics reasoning tasks (perception, comprehension, generation).
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- Comparing model outputs against ground-truth simulation rollouts and real-video frames.
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- Studying instruction-following and prompt-sensitivity in multimodal models.
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## Dataset Composition
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| Domain | Cases | Avg files/case | Approx total files |
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|---|---:|---:|---:|
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| Simulation | 50 | ~750 | ~37,000 |
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| Realworld | 50 | ~16 | ~800 |
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| **Total** | **100** | | ~37,800 |
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## License
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Released under **CC BY-SA 4.0** (Creative Commons Attribution–ShareAlike 4.0 International).
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## Anonymity
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This dataset is released for double-blind submission. All identifying information has been removed.
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## Citation
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```
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[Anonymous] Apple-Pi: Physics Infographics Evaluation Subset. 2026.
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```
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croissant.json
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| 1 |
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{
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"@context": {
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| 3 |
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"@language": "en",
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| 4 |
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"@vocab": "https://schema.org/",
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| 5 |
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"citeAs": "cr:citeAs",
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| 6 |
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"column": "cr:column",
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| 7 |
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"conformsTo": "dct:conformsTo",
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| 8 |
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"cr": "http://mlcommons.org/croissant/",
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| 9 |
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"rai": "http://mlcommons.org/croissant/RAI/",
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| 10 |
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"data": {
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| 11 |
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"@id": "cr:data",
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| 12 |
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"@type": "@json"
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| 13 |
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},
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| 14 |
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"dataType": {
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| 15 |
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"@id": "cr:dataType",
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| 16 |
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"@type": "@vocab"
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| 17 |
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},
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| 18 |
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"dct": "http://purl.org/dc/terms/",
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| 19 |
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"examples": {
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| 20 |
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"@id": "cr:examples",
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| 21 |
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"@type": "@json"
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| 22 |
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},
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| 23 |
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"extract": "cr:extract",
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| 24 |
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"field": "cr:field",
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| 25 |
+
"fileProperty": "cr:fileProperty",
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| 26 |
+
"fileObject": "cr:fileObject",
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| 27 |
+
"fileSet": "cr:fileSet",
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| 28 |
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"format": "cr:format",
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| 29 |
+
"includes": "cr:includes",
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| 30 |
+
"isLiveDataset": "cr:isLiveDataset",
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| 31 |
+
"jsonPath": "cr:jsonPath",
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| 32 |
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"key": "cr:key",
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| 33 |
+
"md5": "cr:md5",
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| 34 |
+
"parentField": "cr:parentField",
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| 35 |
+
"path": "cr:path",
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| 36 |
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"recordSet": "cr:recordSet",
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| 37 |
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"references": "cr:references",
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| 38 |
+
"regex": "cr:regex",
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| 39 |
+
"repeated": "cr:repeated",
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| 40 |
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"replace": "cr:replace",
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| 41 |
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"sc": "https://schema.org/",
|
| 42 |
+
"separator": "cr:separator",
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| 43 |
+
"source": "cr:source",
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| 44 |
+
"subField": "cr:subField",
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| 45 |
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"transform": "cr:transform"
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| 46 |
+
},
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| 47 |
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"@type": "sc:Dataset",
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| 48 |
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"name": "apple-pi",
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| 49 |
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"description": "A 100-case evaluation subset (50 simulation + 50 realworld) for physics-infographic reasoning evaluation in image and video generation models. Each case provides ground-truth rendering, instance segmentation, velocity tracking, depth, mask, and human-readable physics annotations across 9 simulated tasks and 7 realworld categories.",
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| 50 |
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"conformsTo": "http://mlcommons.org/croissant/1.0",
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| 51 |
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"license": "https://creativecommons.org/licenses/by-sa/4.0/",
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| 52 |
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"url": "https://huggingface.co/datasets/AnonymousSubmitt/apple-pi",
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| 53 |
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"version": "1.0.0",
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| 54 |
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"datePublished": "2026-05-06",
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| 55 |
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"citeAs": "@misc{anonymous2026applepi, title={Apple-Pi: Physics Infographics Evaluation Subset}, author={Anonymous}, year={2026}}",
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| 56 |
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"creator": {
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| 57 |
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"@type": "Organization",
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| 58 |
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"name": "Anonymous"
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| 59 |
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},
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| 60 |
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"publisher": {
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| 61 |
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"@type": "Organization",
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| 62 |
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"name": "Anonymous"
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| 63 |
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},
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| 64 |
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"keywords": [
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| 65 |
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"physics reasoning",
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| 66 |
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"video generation evaluation",
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| 67 |
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"image generation evaluation",
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| 68 |
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"physics infographics",
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| 69 |
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"instance segmentation",
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| 70 |
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"ground truth",
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| 71 |
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"synthetic + realworld"
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| 72 |
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],
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| 73 |
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"rai:dataCollection": "Synthetic 3D physics simulation rendered with a real-time physics engine and rasterized rendering pipeline. Realworld videos recorded under controlled conditions with annotated physical parameters.",
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| 74 |
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"rai:dataCollectionType": ["Synthetic data", "Recorded video"],
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| 75 |
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"rai:dataCollectionTimeframe": "2025-2026",
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| 76 |
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"rai:annotationsSourceProcess": "Simulation cases: programmatically annotated from physics-engine state (deterministic per-frame instance segmentation, velocity, depth, mask). Realworld cases: human-labeled physical parameters with computed segmentation and target-time velocity.",
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| 77 |
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"rai:personalSensitiveInformation": "None. Synthetic cases contain no people. Realworld videos do not show identifiable individuals.",
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| 78 |
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"rai:bias": "Synthetic data introduces no demographic bias. Realworld videos contain only inanimate objects. The case distribution is intentionally weighted toward common physics phenomena (projectile, freefall) which may bias evaluation toward those tasks.",
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| 79 |
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"rai:knownLimitations": "Synthetic data may not capture all real-world physical complexity (air drag, non-rigid deformation, lighting variation). Realworld videos are limited to short clips of constrained motion. The 100-case subset is intentionally small for fast evaluation, not for training.",
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"rai:intendedUse": "Evaluating physics reasoning capabilities of image- and video-generation models, including perception, comprehension, and generation tracks. Comparing model outputs against ground-truth physics rollouts and real-video frames. Studying instruction-following and prompt-sensitivity.",
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| 81 |
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"rai:useCases": [
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| 82 |
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"Benchmarking video-generation models (e.g. Veo, Sora) on physics-grounded prompts",
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| 83 |
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"Benchmarking unified image-generation models on physics-grounded prompts",
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| 84 |
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"Studying prompt-complexity ablations and instruction-following"
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| 85 |
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],
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| 86 |
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"rai:potentialApplications": "Research evaluation of multimodal generation models in physics reasoning.",
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| 87 |
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"rai:misuse": "Low risk. Dataset contains no human subjects or sensitive content. Misuse limited to inappropriate benchmarking claims.",
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| 88 |
+
"rai:safetyMeasures": "Dataset is small and well-scoped; intended only for evaluation, not training. Cases are physics-only with no human or social context.",
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| 89 |
+
"rai:maintenanceStatus": "Active",
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| 90 |
+
"rai:dataReleases": "v1.0 (2026-05): Initial release with 50 sim + 50 realworld cases.",
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| 91 |
+
"distribution": [
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| 92 |
+
{
|
| 93 |
+
"@type": "cr:FileObject",
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| 94 |
+
"@id": "repo",
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| 95 |
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"name": "repository",
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| 96 |
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"description": "Hugging Face dataset repository.",
|
| 97 |
+
"contentUrl": "https://huggingface.co/datasets/AnonymousSubmitt/apple-pi",
|
| 98 |
+
"encodingFormat": "git+https",
|
| 99 |
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"sha256": "main"
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| 100 |
+
},
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| 101 |
+
{
|
| 102 |
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"@type": "cr:FileSet",
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| 103 |
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"@id": "sim_subset",
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| 104 |
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"name": "sim_subset",
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| 105 |
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"description": "50 simulation cases. Each case is a folder containing rendered video frames, instance segmentation, velocity, depth, mask, and physics annotations.",
|
| 106 |
+
"containedIn": {"@id": "repo"},
|
| 107 |
+
"encodingFormat": "application/octet-stream",
|
| 108 |
+
"includes": "sim_subset/**"
|
| 109 |
+
},
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| 110 |
+
{
|
| 111 |
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"@type": "cr:FileSet",
|
| 112 |
+
"@id": "realworld_subset",
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| 113 |
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"name": "realworld_subset",
|
| 114 |
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"description": "50 realworld cases. Each case is a folder containing a video clip, instance segmentation, velocity, mask, and physics annotations.",
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| 115 |
+
"containedIn": {"@id": "repo"},
|
| 116 |
+
"encodingFormat": "application/octet-stream",
|
| 117 |
+
"includes": "realworld_subset/**"
|
| 118 |
+
}
|
| 119 |
+
],
|
| 120 |
+
"recordSet": [
|
| 121 |
+
{
|
| 122 |
+
"@type": "cr:RecordSet",
|
| 123 |
+
"@id": "sim_cases",
|
| 124 |
+
"name": "Simulation Cases",
|
| 125 |
+
"description": "Each record is one simulation case folder with a fixed-format internal layout.",
|
| 126 |
+
"field": [
|
| 127 |
+
{
|
| 128 |
+
"@type": "cr:Field",
|
| 129 |
+
"@id": "sim_cases/case_path",
|
| 130 |
+
"name": "case_path",
|
| 131 |
+
"description": "Relative folder path inside sim_subset/ (e.g. circular/0).",
|
| 132 |
+
"dataType": "sc:Text"
|
| 133 |
+
},
|
| 134 |
+
{
|
| 135 |
+
"@type": "cr:Field",
|
| 136 |
+
"@id": "sim_cases/task",
|
| 137 |
+
"name": "task",
|
| 138 |
+
"description": "Physics task name (top-level directory under sim_subset/).",
|
| 139 |
+
"dataType": "sc:Text"
|
| 140 |
+
}
|
| 141 |
+
]
|
| 142 |
+
},
|
| 143 |
+
{
|
| 144 |
+
"@type": "cr:RecordSet",
|
| 145 |
+
"@id": "realworld_cases",
|
| 146 |
+
"name": "Realworld Cases",
|
| 147 |
+
"description": "Each record is one realworld case folder with a fixed-format internal layout.",
|
| 148 |
+
"field": [
|
| 149 |
+
{
|
| 150 |
+
"@type": "cr:Field",
|
| 151 |
+
"@id": "realworld_cases/case_path",
|
| 152 |
+
"name": "case_path",
|
| 153 |
+
"description": "Relative folder path inside realworld_subset/ (e.g. Gravity/Freefall/1).",
|
| 154 |
+
"dataType": "sc:Text"
|
| 155 |
+
},
|
| 156 |
+
{
|
| 157 |
+
"@type": "cr:Field",
|
| 158 |
+
"@id": "realworld_cases/category",
|
| 159 |
+
"name": "category",
|
| 160 |
+
"description": "Physics category (top-level directory).",
|
| 161 |
+
"dataType": "sc:Text"
|
| 162 |
+
}
|
| 163 |
+
]
|
| 164 |
+
}
|
| 165 |
+
]
|
| 166 |
+
}
|
selected_cases.json
ADDED
|
@@ -0,0 +1,123 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"version": "1.0.0",
|
| 3 |
+
"datePublished": "2026-05-06",
|
| 4 |
+
"sim_subset": {
|
| 5 |
+
"total": 50,
|
| 6 |
+
"seed": 42,
|
| 7 |
+
"strategy": "old_first; affected 17 excluded; subset of 100-subset",
|
| 8 |
+
"cases": [
|
| 9 |
+
"at_rest/0",
|
| 10 |
+
"at_rest/2",
|
| 11 |
+
"at_rest/3",
|
| 12 |
+
"at_rest/7",
|
| 13 |
+
"at_rest/8",
|
| 14 |
+
"circular/0",
|
| 15 |
+
"circular/2",
|
| 16 |
+
"circular/6",
|
| 17 |
+
"circular/7",
|
| 18 |
+
"circular_newbatch/14",
|
| 19 |
+
"circular_newbatch/5",
|
| 20 |
+
"freefall/0",
|
| 21 |
+
"freefall/4",
|
| 22 |
+
"freefall/5",
|
| 23 |
+
"freefall/6",
|
| 24 |
+
"freefall/8",
|
| 25 |
+
"freefall_newbatch/4",
|
| 26 |
+
"inclined_plane/1",
|
| 27 |
+
"inclined_plane/2",
|
| 28 |
+
"inclined_plane/3",
|
| 29 |
+
"inclined_plane/7",
|
| 30 |
+
"inclined_plane_newbatch/1",
|
| 31 |
+
"inclined_plane_newbatch/8",
|
| 32 |
+
"inelastic_collision/1",
|
| 33 |
+
"inelastic_collision/2",
|
| 34 |
+
"inelastic_collision/3",
|
| 35 |
+
"inelastic_collision/6",
|
| 36 |
+
"inelastic_collision/9",
|
| 37 |
+
"inelastic_collision_newbatch/7",
|
| 38 |
+
"perfectly_elastic_collision/2",
|
| 39 |
+
"perfectly_elastic_collision/3",
|
| 40 |
+
"perfectly_elastic_collision/5",
|
| 41 |
+
"perfectly_elastic_collision/7",
|
| 42 |
+
"perfectly_elastic_collision/8",
|
| 43 |
+
"perfectly_elastic_collision/9",
|
| 44 |
+
"perfectly_inelastic_collision/2",
|
| 45 |
+
"perfectly_inelastic_collision/5",
|
| 46 |
+
"perfectly_inelastic_collision/6",
|
| 47 |
+
"perfectly_inelastic_collision/7",
|
| 48 |
+
"perfectly_inelastic_collision/8",
|
| 49 |
+
"perfectly_inelastic_collision_newbatch/1",
|
| 50 |
+
"projectile/1",
|
| 51 |
+
"projectile/10",
|
| 52 |
+
"projectile/12",
|
| 53 |
+
"projectile/7",
|
| 54 |
+
"projectile/8",
|
| 55 |
+
"projectile_newbatch/1",
|
| 56 |
+
"uniform_linear/2",
|
| 57 |
+
"uniform_linear/6",
|
| 58 |
+
"uniform_linear/8"
|
| 59 |
+
]
|
| 60 |
+
},
|
| 61 |
+
"realworld_subset": {
|
| 62 |
+
"total": 50,
|
| 63 |
+
"seed": 42,
|
| 64 |
+
"strategy": "stratified by sub-cat, ~31.8% of 157",
|
| 65 |
+
"cases": [
|
| 66 |
+
"Composition/0",
|
| 67 |
+
"Composition/1",
|
| 68 |
+
"Composition/4",
|
| 69 |
+
"ConservationofMomentum/InelasticCollision/1",
|
| 70 |
+
"ConservationofMomentum/InelasticCollision/11",
|
| 71 |
+
"ConservationofMomentum/InelasticCollision/2",
|
| 72 |
+
"ConservationofMomentum/InelasticCollision/3",
|
| 73 |
+
"ConservationofMomentum/InelasticCollision/7",
|
| 74 |
+
"ConservationofMomentum/PerfectlyElasticCollision/1",
|
| 75 |
+
"ConservationofMomentum/PerfectlyElasticCollision/10",
|
| 76 |
+
"ConservationofMomentum/PerfectlyElasticCollision/11",
|
| 77 |
+
"ConservationofMomentum/PerfectlyElasticCollision/8",
|
| 78 |
+
"ConservationofMomentum/PerfectlyElasticCollision/9",
|
| 79 |
+
"ConservationofMomentum/PerfectlyInelasticCollision/0",
|
| 80 |
+
"ConservationofMomentum/PerfectlyInelasticCollision/6",
|
| 81 |
+
"ConservationofMomentum/PerfectlyInelasticCollision/8",
|
| 82 |
+
"Gravity/Freefall/1",
|
| 83 |
+
"Gravity/Freefall/13",
|
| 84 |
+
"Gravity/Freefall/14",
|
| 85 |
+
"Gravity/Freefall/17",
|
| 86 |
+
"Gravity/Freefall/20",
|
| 87 |
+
"Gravity/Freefall/22",
|
| 88 |
+
"Gravity/Freefall/28",
|
| 89 |
+
"Gravity/Freefall/30",
|
| 90 |
+
"Gravity/Freefall/32",
|
| 91 |
+
"Gravity/Freefall/5",
|
| 92 |
+
"Gravity/Freefall/6",
|
| 93 |
+
"Gravity/Projectile/0",
|
| 94 |
+
"Gravity/Projectile/10",
|
| 95 |
+
"Gravity/Projectile/13",
|
| 96 |
+
"Gravity/Projectile/14",
|
| 97 |
+
"Gravity/Projectile/17",
|
| 98 |
+
"Gravity/Projectile/21",
|
| 99 |
+
"Gravity/Projectile/24",
|
| 100 |
+
"Gravity/Projectile/26",
|
| 101 |
+
"Gravity/Projectile/27",
|
| 102 |
+
"Gravity/Projectile/28",
|
| 103 |
+
"Gravity/Projectile/37",
|
| 104 |
+
"Gravity/Projectile/44",
|
| 105 |
+
"Gravity/Projectile/47",
|
| 106 |
+
"Gravity/Projectile/48",
|
| 107 |
+
"Gravity/Projectile/5",
|
| 108 |
+
"Gravity/Projectile/51",
|
| 109 |
+
"Gravity/Projectile/54",
|
| 110 |
+
"Gravity/Projectile/6",
|
| 111 |
+
"Gravity/Projectile/9",
|
| 112 |
+
"NewtonsFirstLaw/AtRest/1",
|
| 113 |
+
"NewtonsFirstLaw/AtRest/4",
|
| 114 |
+
"NewtonsFirstLaw/AtRest/5",
|
| 115 |
+
"NewtonsFirstLaw/AtRest/9"
|
| 116 |
+
]
|
| 117 |
+
},
|
| 118 |
+
"totals": {
|
| 119 |
+
"sim": 50,
|
| 120 |
+
"realworld": 50,
|
| 121 |
+
"combined": 100
|
| 122 |
+
}
|
| 123 |
+
}
|