Pith Number

pith:4RZ3B7BA

pith:2002:4RZ3B7BA4XTTAQ4HY4GALYPG5G

not attested not anchored not stored refs pending

Sum rules in the heavy quark limit of QCD

A. Le Yaouanc, J.-C. Raynal, L. Oliver

arxiv:hep-ph/0210233 v2 · 2002-10-16 · hep-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{4RZ3B7BA4XTTAQ4HY4GALYPG5G}

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	2026-05-18T04:31:10.504887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e473b0fc20e5e7304387c70c05e1e6e9a051b1578f75c25e8e840257cc88d0ce

Aliases

arxiv: hep-ph/0210233 · arxiv_version: hep-ph/0210233v2 · doi: 10.48550/arxiv.hep-ph/0210233 · pith_short_12: 4RZ3B7BA4XTT · pith_short_16: 4RZ3B7BA4XTTAQ4H · pith_short_8: 4RZ3B7BA

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/4RZ3B7BA4XTTAQ4HY4GALYPG5G \
  | 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: e473b0fc20e5e7304387c70c05e1e6e9a051b1578f75c25e8e840257cc88d0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81ef886239cbf05251cce144844030f2d0815436911534e56ec22d5257b81ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-10-16T15:19:05Z",
    "title_canon_sha256": "1a3a6cc9c1ccad75cf1ef9bf7fd580358effeb8635cd4006582d274b72d1545e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0210233",
    "kind": "arxiv",
    "version": 2
  }
}