Pith Number

pith:466MTOOH

pith:2017:466MTOOHF2PRBQPAMKRCLNZYNO

not attested not anchored not stored refs pending

Four-loop QCD propagators and vertices with one vanishing external momentum

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

arxiv:1703.08532 v2 · 2017-03-24 · 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{466MTOOHF2PRBQPAMKRCLNZYNO}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:41:24.421129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7bcc9b9c72e9f10c1e062a225b7386ba186167e2008b1173712a7fa90a277d7

Aliases

arxiv: 1703.08532 · arxiv_version: 1703.08532v2 · doi: 10.48550/arxiv.1703.08532 · pith_short_12: 466MTOOHF2PR · pith_short_16: 466MTOOHF2PRBQPA · pith_short_8: 466MTOOH

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/466MTOOHF2PRBQPAMKRCLNZYNO \
  | 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: e7bcc9b9c72e9f10c1e062a225b7386ba186167e2008b1173712a7fa90a277d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3070057709bb87b4d3c151123d3d1cee11ed0abaf86ada6bea9b896f47323af1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-03-24T17:42:52Z",
    "title_canon_sha256": "b25e13bc2bd71e52cee9c466b5c45811b7280956fbd67e40d1aeca6294f4033d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08532",
    "kind": "arxiv",
    "version": 2
  }
}