Pith Number

pith:K5QRIYYY

pith:2016:K5QRIYYYH6SNDDV7YJ5KUMWCU2

not attested not anchored not stored refs pending

Large-nf Contributions to the Four-Loop Splitting Functions in QCD

Amsterdam), A. Vogt (Liverpool U., B. Ruijl, Dept. Math.), J.A.M. Vermaseren (NIKHEF, J. Davies, T. Ueda

arxiv:1610.07477 v1 · 2016-10-24 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5QRIYYYH6SNDDV7YJ5KUMWCU2}

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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

4 papers in Pith

Properties and implications of the four-loop non-singlet splitting functions in QCD

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

Progress on the soft anomalous dimension in QCD

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-05-18T00:51:43.017421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57611463183fa4d18ebfc27aaa32c2a6ad60a74626762c61fa83c0825715f64a

Aliases

arxiv: 1610.07477 · arxiv_version: 1610.07477v1 · doi: 10.48550/arxiv.1610.07477 · pith_short_12: K5QRIYYYH6SN · pith_short_16: K5QRIYYYH6SNDDV7 · pith_short_8: K5QRIYYY

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/K5QRIYYYH6SNDDV7YJ5KUMWCU2 \
  | 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: 57611463183fa4d18ebfc27aaa32c2a6ad60a74626762c61fa83c0825715f64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2239d4d82c9789524b8d4df05be9dfaecd5e5072f41d84f81e4db5e23fb99fd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-10-24T16:27:38Z",
    "title_canon_sha256": "89be1f9671b7f9f09a9ddd77bedfd789ddbea7c40632e2fe504443058349242c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07477",
    "kind": "arxiv",
    "version": 1
  }
}