Pith Number

pith:W6RR5YCJ

pith:1998:W6RR5YCJWF4KFGCLJJTU43GSYR

not attested not anchored not stored refs pending

The Gross--Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD

I. L. Solovtsov, K. A. Milton, O. P. Solovtsova

arxiv:hep-ph/9809513 v1 · 1998-09-23 · 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{W6RR5YCJWF4KFGCLJJTU43GSYR}

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	2026-05-18T01:08:00.914725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a31ee049b178a2984b4a674e6cd2c44faab0f7912f8c8a2c31613479990e1c

Aliases

arxiv: hep-ph/9809513 · arxiv_version: hep-ph/9809513v1 · doi: 10.48550/arxiv.hep-ph/9809513 · pith_short_12: W6RR5YCJWF4K · pith_short_16: W6RR5YCJWF4KFGCL · pith_short_8: W6RR5YCJ

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/W6RR5YCJWF4KFGCLJJTU43GSYR \
  | 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: b7a31ee049b178a2984b4a674e6cd2c44faab0f7912f8c8a2c31613479990e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89b18c5e64f0a4461acec0b29b47597fdcfa3d3b0543a49b4569725d51cf3fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-09-23T20:55:23Z",
    "title_canon_sha256": "78f8ec752db63358e2c5478a6a8c4991e1579b70a35c023a0aaa415e1332345e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9809513",
    "kind": "arxiv",
    "version": 1
  }
}