Pith Number

pith:KPWTVXTJ

pith:2009:KPWTVXTJ3M2YKFDM66CMT24PY6

not attested not anchored not stored refs pending

Some remarks on dipole showers and the DGLAP equation

Peter Skands, Stefan Weinzierl

arxiv:0903.2150 v2 · 2009-03-12 · 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{KPWTVXTJ3M2YKFDM66CMT24PY6}

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

Sudakov evolution without unitarity

Receipt and verification

First computed	2026-07-04T17:16:18.552928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ed3ade69db3585146cf784c9eb8fc79b025d3c013a387e38eed9a609f94346

Aliases

arxiv: 0903.2150 · arxiv_version: 0903.2150v2 · doi: 10.48550/arxiv.0903.2150 · pith_short_12: KPWTVXTJ3M2Y · pith_short_16: KPWTVXTJ3M2YKFDM · pith_short_8: KPWTVXTJ

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/KPWTVXTJ3M2YKFDM66CMT24PY6 \
  | 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: 53ed3ade69db3585146cf784c9eb8fc79b025d3c013a387e38eed9a609f94346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d3c4a9227b50938575ea8c9ef0663799be03707ab6da68773972fa9d26886a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-03-12T11:46:51Z",
    "title_canon_sha256": "d300c6bebcbe9caa59daeef37f2fd8b82c0827db59dcf74d2de42111200d22c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2150",
    "kind": "arxiv",
    "version": 2
  }
}