Pith Number

pith:IETGGOCN

pith:2026:IETGGOCNFFFEEJMOFQUIWG6WEW

not attested not anchored not stored refs pending

Apple-$\pi$: Benchmarking Thinking with Video Towards Law-Grounded Physical Intelligence

Hao Li, Kairui Hu, Lei Yang, Ruisi Wang, Runmao Yao, Shulin Tian, Weichen Fan, Yuhao Dong, Yukang Cao, Zhaoxi Chen, Zhongang Cai, Ziang Cao, Ziqi Huang, Ziwei Liu

arxiv:2607.16401 v1 · 2026-07-17 · cs.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IETGGOCNFFFEEJMOFQUIWG6WEW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-21T00:20:16.143573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412663384d294a42258e2c288b1bd625b8dfdec80db84f88b88fd2b07980fe73

Aliases

arxiv: 2607.16401 · arxiv_version: 2607.16401v1 · doi: 10.48550/arxiv.2607.16401 · pith_short_12: IETGGOCNFFFE · pith_short_16: IETGGOCNFFFEEJMO · pith_short_8: IETGGOCN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IETGGOCNFFFEEJMOFQUIWG6WEW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 412663384d294a42258e2c288b1bd625b8dfdec80db84f88b88fd2b07980fe73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954e15ab1da40e1c830074a9327f50a03f57fd283023e89b57d7191b52277f5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-07-17T18:00:05Z",
    "title_canon_sha256": "e8c41394787440e208d7d7db868742a822b637281d9f2ed2bbc4b99039174529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16401",
    "kind": "arxiv",
    "version": 1
  }
}