Pith Number

pith:YLPFQLVL

pith:2026:YLPFQLVLHIADCUI2BDIXPMA2W7

not attested not anchored not stored refs pending

BilliardPhys-Bench: Benchmarking Physical Reasoning and Visual Dynamics of Multimodal LLMs

Ben Wang, Bing Zhao, Chengliang Xu, Hu Wei, Peiyao Xiao, Ruochen Gao, Xiaogang Li, Zeyu Wang, Zichao Chen

arxiv:2605.30900 v1 · 2026-05-29 · cs.AI · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLPFQLVLHIADCUI2BDIXPMA2W7}

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	2026-06-01T01:03:24.569273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2de582eab3a0031511a08d177b01ab7cfa5e9b1dbf0f76f7504183cfe9171c9

Aliases

arxiv: 2605.30900 · arxiv_version: 2605.30900v1 · doi: 10.48550/arxiv.2605.30900 · pith_short_12: YLPFQLVLHIAD · pith_short_16: YLPFQLVLHIADCUI2 · pith_short_8: YLPFQLVL

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/YLPFQLVLHIADCUI2BDIXPMA2W7 \
  | 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: c2de582eab3a0031511a08d177b01ab7cfa5e9b1dbf0f76f7504183cfe9171c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc6278e0450c8b79cbb2755ba964b109798ec1cbedf3883296d67c06124434d",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-29T06:34:15Z",
    "title_canon_sha256": "a29f5c9df15e7fd5a946ac175f264046d4727dabcb71b66aff34adf9f04a413e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30900",
    "kind": "arxiv",
    "version": 1
  }
}