Pith Number

pith:KEULUSIF

pith:2016:KEULUSIFRWXNEL34BINO5B2WSW

not attested not anchored not stored refs pending

Five-Loop Running of the QCD coupling constant

J. H. K\"uhn, K. G. Chetyrkin, P. A. Baikov

arxiv:1606.08659 v2 · 2016-06-28 · hep-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEULUSIFRWXNEL34BINO5B2WSW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

7 papers in Pith

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

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

Hadronic tau decays at higher orders in QCD

Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD

Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops

Receipt and verification

First computed	2026-05-18T00:49:52.128142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5128ba49058daed22f7c0a1aee875695a9b22493bf8a3646e6c59b546c22e043

Aliases

arxiv: 1606.08659 · arxiv_version: 1606.08659v2 · doi: 10.48550/arxiv.1606.08659 · pith_short_12: KEULUSIFRWXN · pith_short_16: KEULUSIFRWXNEL34 · pith_short_8: KEULUSIF

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/KEULUSIFRWXNEL34BINO5B2WSW \
  | 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: 5128ba49058daed22f7c0a1aee875695a9b22493bf8a3646e6c59b546c22e043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ced1c56d0f8ffe7c4f2304ecf22c093b6fd6ed2aaea490c27b6a879248f4630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-06-28T11:38:13Z",
    "title_canon_sha256": "f544e4450a274482f6e7a798df3364b365cf7dc8d7c095ddb8e0685bafdfc2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08659",
    "kind": "arxiv",
    "version": 2
  }
}