Pith Number

pith:M7VFHINY

pith:1999:M7VFHINYL2NXAPZNTSXBSRB6V2

not attested not anchored not stored refs pending

The Small x Behaviour of Altarelli-Parisi Splitting Functions

Richard D. Ball, Stefano Forte

arxiv:hep-ph/9906222 v2 · 1999-06-02 · 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{M7VFHINYL2NXAPZNTSXBSRB6V2}

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	2026-05-18T02:36:27.865579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ea53a1b85e9b703f2d9cae19443eae8800641568fe688564c83890747b7181

Aliases

arxiv: hep-ph/9906222 · arxiv_version: hep-ph/9906222v2 · doi: 10.48550/arxiv.hep-ph/9906222 · pith_short_12: M7VFHINYL2NX · pith_short_16: M7VFHINYL2NXAPZN · pith_short_8: M7VFHINY

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/M7VFHINYL2NXAPZNTSXBSRB6V2 \
  | 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: 67ea53a1b85e9b703f2d9cae19443eae8800641568fe688564c83890747b7181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058ab3d1b617b58e58cda89e0a5facba2c8c85d38fb27f6ffceb3be2a60b9e41",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-06-02T18:21:39Z",
    "title_canon_sha256": "f5e547ef8a5ab71a1474185325132aa38b4f3acf146160e9c8c1013dc6d6c614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9906222",
    "kind": "arxiv",
    "version": 2
  }
}