---
license: cc-by-sa-4.0
---

# Apple-Pi (Full)

Full release of the **Apple-Pi physics benchmark**: **400 cases (243 simulation + 157 realworld)** for evaluating physics reasoning in image and video generation models.

## Folder structure

```
apple-pi-full/
├── README.md
├── croissant.json
├── sim_subset/         # 243 simulation cases (10 physics tasks)
└── realworld_subset/   # 157 realworld cases (7 physics categories)
```

## Per-case contents

**Simulation** (`sim_subset/<task>/<case_id>/`) — generated with **NVIDIA Isaac Sim** (rigid-body PhysX simulator):
- `annotation.txt`, `physics_duration.txt`, `formula_info.json`, `prompt.txt`
- `initial_state/` (rgb_0000 + white-bg variants + instance segmentation + camera params)
- `instantaneous_velocity/` (target-time velocity reference)
- `rgb/0000.png ~ 00NN.png` (rendered video frames @ 24 fps)
- `instance_segmentation/`, `mask/`, `velocity/`, `depth/`, `density/`, `camera_parameters/`

**Realworld** (`realworld_subset/<category>/[<subcategory>/]<case_id>/`) — recorded under controlled laboratory conditions:
- `annotation.txt`, `formula_info.json`, `physics_duration.txt`, `annotation_config.json`
- `initial_state/` (first-frame extraction + variants)
- `instance_segmentation/`, `mask/`, `instantaneous_velocity/`
- `rgb/video.mp4`

## Tasks

**Simulation (10 physics tasks)**: at_rest, circular, freefall, inclined_plane, inelastic_collision, perfectly_elastic_collision, perfectly_inelastic_collision, projectile, uniform_linear, composition.

**Realworld (7 physics categories)**: NewtonsFirstLaw/AtRest, Gravity/{Freefall, Projectile}, ConservationofMomentum/{InelasticCollision, PerfectlyElasticCollision, PerfectlyInelasticCollision}, Composition.

## Intended use

Zero-shot evaluation of physics reasoning in image- and video-generation models across perception, comprehension, and generation tracks. Not intended for training.

## Companion repository

A 100-case representative sample (50 simulation + 50 realworld) is also released for quick inspection at `AnonymousSubmitt/apple-pi`.

## License

CC BY-SA 4.0

## Citation

```
[Anonymous] Apple-Pi: Physics Infographics Benchmark. 2026.
```