Pith Number

pith:4WJQDAFL

pith:2023:4WJQDAFLQEFYFC2PZMZVXMMALU

not attested not anchored not stored refs pending

Multiple-bounce Smith Microfacet BRDFs using the Invariance Principle

Beibei Wang, Gaole Pan, Jian Yang, Lei Zhang, Ling-Qi Yan, Yuang Cui

arxiv:2302.03408 v3 · 2023-02-07 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WJQDAFLQEFYFC2PZMZVXMMALU}

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	2026-07-05T06:47:00.914112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5930180ab810b828b4fcb335bb1805d3ec1c420f80c42db0b9065df36a02e49

Aliases

arxiv: 2302.03408 · arxiv_version: 2302.03408v3 · doi: 10.48550/arxiv.2302.03408 · pith_short_12: 4WJQDAFLQEFY · pith_short_16: 4WJQDAFLQEFYFC2P · pith_short_8: 4WJQDAFL

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/4WJQDAFLQEFYFC2PZMZVXMMALU \
  | 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: e5930180ab810b828b4fcb335bb1805d3ec1c420f80c42db0b9065df36a02e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e161e3ca8a2e6da5c0f4df8b3753a31ede03f0d8e0297986d4ac62d8ada7206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2023-02-07T11:31:28Z",
    "title_canon_sha256": "7121dda29bd396aa15a4d358a3811e0a02251a0036e4efd05a7467c1a13945a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.03408",
    "kind": "arxiv",
    "version": 3
  }
}