Pith Number

pith:L4BFGJBD

pith:2017:L4BFGJBDFGZOCMB6TVC43KPBQC

not attested not anchored not stored refs pending

The five-loop beta function of Yang-Mills theory with fermions

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

arxiv:1701.01404 v2 · 2017-01-05 · 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{L4BFGJBDFGZOCMB6TVC43KPBQC}

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

6 papers in Pith

New high-precision $b$, $c$, and $s$ masses from pseudoscalar-pseudoscalar correlators in $n_f=4$ lattice QCD

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

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

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

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

Receipt and verification

First computed	2026-05-18T00:49:10.239326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0253242329b2e1303e9d45cda9e180ab6df87a2bd4a0469b304cba0f7a111c

Aliases

arxiv: 1701.01404 · arxiv_version: 1701.01404v2 · doi: 10.48550/arxiv.1701.01404 · pith_short_12: L4BFGJBDFGZO · pith_short_16: L4BFGJBDFGZOCMB6 · pith_short_8: L4BFGJBD

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/L4BFGJBDFGZOCMB6TVC43KPBQC \
  | 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: 5f0253242329b2e1303e9d45cda9e180ab6df87a2bd4a0469b304cba0f7a111c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9beb8be60a0baaf3b93ad44a8d9d6821ab2192ae78104e15cd53191678ecfe44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-01-05T18:05:20Z",
    "title_canon_sha256": "0ab7c513a92f1310412df0f1e9bffb6ea23296d9ebb1d43490a06e6fb326810d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01404",
    "kind": "arxiv",
    "version": 2
  }
}