Pith Number

pith:LS4WBHPA

pith:2018:LS4WBHPAM4IVNJ4PJUJGFFMAAY

not attested not anchored not stored refs pending

Five-loop contributions to low-N non-singlet anomalous dimensions in QCD

Amsterdam), A. Vogt (Liverpool U., B. Ruijl (Zurich, Dept. Math), ETH), F. Herzog (NIKHEF, Inst. Theor. Phys. II), J.A. M. Vermaseren (NIKHEF, S. Moch (Hamburg U., T. Ueda (Seikei U.)

arxiv:1812.11818 v2 · 2018-12-31 · 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{LS4WBHPAM4IVNJ4PJUJGFFMAAY}

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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

3 papers in Pith

Modeling the TMD shape function in $J/\psi$ electroproduction

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

AI-assisted modeling and Bayesian inference of unpolarized quark transverse momentum distributions from Drell-Yan data

Receipt and verification

First computed	2026-05-17T23:54:42.536290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb9609de0671156a78f4d1262958006082abd230b736041fc719c7619a2daab

Aliases

arxiv: 1812.11818 · arxiv_version: 1812.11818v2 · doi: 10.48550/arxiv.1812.11818 · pith_short_12: LS4WBHPAM4IV · pith_short_16: LS4WBHPAM4IVNJ4P · pith_short_8: LS4WBHPA

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/LS4WBHPAM4IVNJ4PJUJGFFMAAY \
  | 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: 5cb9609de0671156a78f4d1262958006082abd230b736041fc719c7619a2daab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bd046bcbc40bcc3743672fca0fe95f16f5c0b052a1f8ad0c3666b6b8d9e5b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-31T14:49:45Z",
    "title_canon_sha256": "42ccf13f83f4db5acaf1f2ac4e46b78c7c652bee5f55b7c29a5a11d06e7b25e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11818",
    "kind": "arxiv",
    "version": 2
  }
}