Pith Number

pith:WRFKXSV5

pith:2011:WRFKXSV5SH64CDA7IF366OABA2

not attested not anchored not stored refs pending

Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD

V. N. Velizhanin

arxiv:1112.3954 v2 · 2011-12-16 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRFKXSV5SH64CDA7IF366OABA2}

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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

2 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

Receipt and verification

First computed	2026-05-18T01:59:06.476684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44aabcabd91fdc10c1f4177ef380106bd5db89fbc8a69aaf5c2e765681bae49

Aliases

arxiv: 1112.3954 · arxiv_version: 1112.3954v2 · doi: 10.48550/arxiv.1112.3954 · pith_short_12: WRFKXSV5SH64 · pith_short_16: WRFKXSV5SH64CDA7 · pith_short_8: WRFKXSV5

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/WRFKXSV5SH64CDA7IF366OABA2 \
  | 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: b44aabcabd91fdc10c1f4177ef380106bd5db89fbc8a69aaf5c2e765681bae49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b246629b5eb0ab48a64bb31bdb1e94688f4398da2b0234bb0fd1d278a7ae73b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-12-16T20:58:18Z",
    "title_canon_sha256": "35c9a0d08403c155bb2ed9ef06579a8f37ee3356c3e6764a88385d84bb9bd04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3954",
    "kind": "arxiv",
    "version": 2
  }
}