README.md

Apple-Pi: Physics Infographics Evaluation Subset

A 100-case evaluation subset (50 simulation + 50 realworld) for physics-infographic reasoning evaluation in image and video generation models.

Overview

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.

Folder Structure

apple-pi/
├── README.md
├── croissant.json                  # Croissant + RAI metadata
├── selected_cases.json             # Manifest with case IDs and sampling strategies
├── sim_subset/                     # 50 simulation cases
│   ├── at_rest/0/, at_rest/2/, ...
│   ├── circular/0/, circular/newbatch_5/, ...
│   └── ... (9 physics tasks)
└── realworld_subset/               # 50 realworld cases
    ├── Composition/0/
    ├── Gravity/Freefall/1/
    ├── ConservationofMomentum/InelasticCollision/1/
    └── NewtonsFirstLaw/AtRest/1/

Per-Case Contents (Simulation)

Each sim_subset/<task>/<case_id>/:

File / Folder	Description
annotation.txt	Human-readable physical parameters (mass, velocity, friction, etc.)
physics_duration.txt	Total physics-valid duration in seconds
formula_info.json	4 candidate formulas + correct answer + variable substitution hints
prompt.txt	Original task prompt
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
instantaneous_velocity/	Per-object velocity at a target time: velocity.json, velocity_annotated.png, mask.npy, mapping.json
instance_segmentation/maps.npz	Full-sequence instance segmentation maps
mask/maps.npz	Full-sequence foreground masks
velocity/maps.npz	Full-sequence per-pixel velocity maps
depth/maps.npz	Full-sequence depth maps
density/, camera_parameters/	Per-frame density buffers and camera parameters
rgb/0000.png ~ 00NN.png	Rendered video frames at 24 fps (NN = round(physics_duration × 24))

Per-Case Contents (Realworld)

Each realworld_subset/<category>/[<subcategory>/]<case_id>/:

File / Folder	Description
annotation.txt	Physical parameters of the recorded scene
annotation_config.json	Parameter source / unit metadata
formula_info.json	Same 4-choice formula schema as simulation
physics_duration.txt	Validated motion duration
initial_state/	First-frame extraction: rgb_0000.png, rgb_0000_white_bg.png, rgb_0000_white_bg_obj.png, instance segmentation, mapping, mask
instance_segmentation/maps.npz	Per-frame instance segmentation
mask/maps.npz	Per-frame foreground mask
instantaneous_velocity/	Velocity reference at target time: velocity.json, velocity_annotated.png, mask.npy
rgb/video.mp4	Original video clip

Tasks Covered

Simulation (9 physics tasks, 50 cases)

• at_rest, circular, freefall, inclined_plane
• inelastic_collision, perfectly_elastic_collision, perfectly_inelastic_collision
• projectile, uniform_linear

Realworld (7 categories, 50 cases)

• NewtonsFirstLaw/AtRest
• Gravity/Freefall, Gravity/Projectile
• ConservationofMomentum/{InelasticCollision, PerfectlyElasticCollision, PerfectlyInelasticCollision}
• Composition (multi-task)

Sampling

• Simulation: 50 cases selected from a larger 100-case pool with stratified sampling (seed=42, OLD-first); excludes any cases with rendering artifacts.
• Realworld: 50 cases sampled from a 157-case pool with stratified sampling proportional to per-subcategory counts (seed=42).

See selected_cases.json for full case-ID lists and sampling metadata.

Intended Use

• Evaluating image-generation and video-generation models on physics reasoning tasks (perception, comprehension, generation).
• Comparing model outputs against ground-truth simulation rollouts and real-video frames.
• Studying instruction-following and prompt-sensitivity in multimodal models.

Dataset Composition

Domain	Cases	Avg files/case	Approx total files
Simulation	50	~750	~37,000
Realworld	50	~16	~800
Total	100		~37,800

License

Released under CC BY-SA 4.0 (Creative Commons Attribution–ShareAlike 4.0 International).

Anonymity

This dataset is released for double-blind submission. All identifying information has been removed.

Citation

[Anonymous] Apple-Pi: Physics Infographics Evaluation Subset. 2026.