Pith Number

pith:QCZCFCT3

pith:2003:QCZCFCT36LNLB6ASZKFIXABG3Y

not attested not anchored not stored refs pending

An anomalous dimension for small x evolution

Guido Altarelli, Richard D.Ball, Stefano Forte

arxiv:hep-ph/0306156 v2 · 2003-06-17 · 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{QCZCFCT36LNLB6ASZKFIXABG3Y}

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	2026-07-04T15:20:21.356726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b2228a7bf2dab0f812ca8a8b8026de2f854d933882006dcd31509e10d50ab6

Aliases

arxiv: hep-ph/0306156 · arxiv_version: hep-ph/0306156v2 · doi: 10.48550/arxiv.hep-ph/0306156 · pith_short_12: QCZCFCT36LNL · pith_short_16: QCZCFCT36LNLB6AS · pith_short_8: QCZCFCT3

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/QCZCFCT36LNLB6ASZKFIXABG3Y \
  | 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: 80b2228a7bf2dab0f812ca8a8b8026de2f854d933882006dcd31509e10d50ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc80f39989633bebb6cd46f791c19a3f0f7ce15b4a45971fdfe63cd2cee04e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-06-17T15:40:33Z",
    "title_canon_sha256": "a79b72b09966cc47801e121d37c49c878b2724891fdf77a42c3ffbc82843af46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0306156",
    "kind": "arxiv",
    "version": 2
  }
}