Pith Number

pith:QB46TQZW

pith:2017:QB46TQZW4Q74COYFIBBEA6EYLK

not attested not anchored not stored refs pending

Five-loop renormalisation of QCD in covariant gauges

F. Herzog, G. Falcioni, J.A.M. Vermaseren, K. G. Chetyrkin

arxiv:1709.08541 v2 · 2017-09-25 · 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{QB46TQZW4Q74COYFIBBEA6EYLK}

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

2 papers in Pith

Renormalisation

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

Receipt and verification

First computed	2026-05-18T00:25:17.125908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8079e9c336e43fc13b0540424078985aae9c11e07123a4a0c63c345708204c5d

Aliases

arxiv: 1709.08541 · arxiv_version: 1709.08541v2 · doi: 10.48550/arxiv.1709.08541 · pith_short_12: QB46TQZW4Q74 · pith_short_16: QB46TQZW4Q74COYF · pith_short_8: QB46TQZW

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/QB46TQZW4Q74COYFIBBEA6EYLK \
  | 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: 8079e9c336e43fc13b0540424078985aae9c11e07123a4a0c63c345708204c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02b24c9c1a726dc950a9907bc0377e1965109d5063ce1dfe7bcbe290805ddf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-09-25T15:14:01Z",
    "title_canon_sha256": "d2e138f4bd530460614b4bf2262e5b059852e3260112cc945b79f442b65e2f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08541",
    "kind": "arxiv",
    "version": 2
  }
}