Pith Number

pith:WUMZ2GV6

pith:1994:WUMZ2GV6P2FKXULBXGYBRYY6DZ

not attested not anchored not stored refs pending

Commensurate Scale Relations in Quantum Chromodynamics

Hung Jung Lu, Stanley J. Brodsky

arxiv:hep-ph/9405218 v1 · 1994-05-04 · 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{WUMZ2GV6P2FKXULBXGYBRYY6DZ}

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.

Cited by

1 paper in Pith

Renormalisation

Receipt and verification

First computed	2026-07-04T15:50:46.556977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5199d1abe7e8aabd161b9b018e31e1e4b2e80e61ccf6c6ea0316559cb2753dc

Aliases

arxiv: hep-ph/9405218 · arxiv_version: hep-ph/9405218v1 · doi: 10.48550/arxiv.hep-ph/9405218 · pith_short_12: WUMZ2GV6P2FK · pith_short_16: WUMZ2GV6P2FKXULB · pith_short_8: WUMZ2GV6

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/WUMZ2GV6P2FKXULBXGYBRYY6DZ \
  | 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: b5199d1abe7e8aabd161b9b018e31e1e4b2e80e61ccf6c6ea0316559cb2753dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844da44f1ff9a8f70b2dcbd039e86f5f2f3651c78e1d4bc21843a1d5af474559",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-05-04T07:01:00Z",
    "title_canon_sha256": "977206f5802c8ec7ce09ae68a011f94a64001f3f34a7740d44aca86f5cffa82e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9405218",
    "kind": "arxiv",
    "version": 1
  }
}