Pith Number

pith:6GY5O7XW

pith:2017:6GY5O7XW3Z54CHRHUVGU4ETP44

not attested not anchored not stored refs pending

Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond

(2) Nikhef, (3) Liverpool U.), Amsterdam, A. Vogt (3) ((1) Hamburg U., B. Ruijl, J.A.M. Vermaseren (2), S. Moch (1), T. Ueda

arxiv:1707.08315 v2 · 2017-07-26 · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GY5O7XW3Z54CHRHUVGU4ETP44}

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

5 papers in Pith

The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs

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	2026-05-18T00:32:08.310557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b1d77ef6de7bc11e27a54d4e126fe71a32491c20cc75e860599d9dceb18bed

Aliases

arxiv: 1707.08315 · arxiv_version: 1707.08315v2 · doi: 10.48550/arxiv.1707.08315 · pith_short_12: 6GY5O7XW3Z54 · pith_short_16: 6GY5O7XW3Z54CHRH · pith_short_8: 6GY5O7XW

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/6GY5O7XW3Z54CHRHUVGU4ETP44 \
  | 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: f1b1d77ef6de7bc11e27a54d4e126fe71a32491c20cc75e860599d9dceb18bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c884a9b12b7a5302f099d5451361e9b45e5a446ba75b22bf9b102020acc1fbf4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-07-26T08:17:55Z",
    "title_canon_sha256": "e21c1fb8ffd9c9a71f7988f28b671f515807c7891f89b61fc174855124ea8056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08315",
    "kind": "arxiv",
    "version": 2
  }
}