Pith Number

pith:EEPLPO4I

pith:2017:EEPLPO4I7EXTDVHBZD52MYZVXV

not attested not anchored not stored refs pending

Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants

K. G. Chetyrkin, M. F. Zoller

arxiv:1704.04209 v2 · 2017-04-13 · 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{EEPLPO4I7EXTDVHBZD52MYZVXV}

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.

Receipt and verification

First computed	2026-05-18T00:39:46.412265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211eb7bb88f92f31d4e1c8fba66335bd42e3e87f1f83c1825c4256f542c107ec

Aliases

arxiv: 1704.04209 · arxiv_version: 1704.04209v2 · doi: 10.48550/arxiv.1704.04209 · pith_short_12: EEPLPO4I7EXT · pith_short_16: EEPLPO4I7EXTDVHB · pith_short_8: EEPLPO4I

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/EEPLPO4I7EXTDVHBZD52MYZVXV \
  | 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: 211eb7bb88f92f31d4e1c8fba66335bd42e3e87f1f83c1825c4256f542c107ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20226815a841a3445f80fd8b72ff7412a350274e399c6c3728a3344c42aafde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-04-13T16:48:16Z",
    "title_canon_sha256": "71ebd0830cd01063d507e951ecba3ef5bf81300c2e8ac0a27ff7667f096b3fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04209",
    "kind": "arxiv",
    "version": 2
  }
}