Pith Number

pith:EFZ57T5C

pith:2002:EFZ57T5CYOTOFU4B23Q2H665HP

not attested not anchored not stored refs pending

Bosonic Corrections to $\Delta r$ at the Two Loop Level

A. Onishchenko, M. Awramik, M. Czakon, O. Veretin

arxiv:hep-ph/0209084 v1 · 2002-09-08 · 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{EFZ57T5CYOTOFU4B23Q2H665HP}

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

1 paper in Pith

Three loop QCD corrections to electroweak radiative parameters

Receipt and verification

First computed	2026-07-04T16:34:19.949433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2173dfcfa2c3a6e2d381d6e1a3fbdd3bc349775c2574e18e8943bfc7f1538a54

Aliases

arxiv: hep-ph/0209084 · arxiv_version: hep-ph/0209084v1 · doi: 10.48550/arxiv.hep-ph/0209084 · pith_short_12: EFZ57T5CYOTO · pith_short_16: EFZ57T5CYOTOFU4B · pith_short_8: EFZ57T5C

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/EFZ57T5CYOTOFU4B23Q2H665HP \
  | 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: 2173dfcfa2c3a6e2d381d6e1a3fbdd3bc349775c2574e18e8943bfc7f1538a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c875fd4e5217c467e052a006b5921a590ffdf59cab9f03762c6bd1faa4d88936",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-09-08T12:27:47Z",
    "title_canon_sha256": "120d6d557f534b67719f74b9169a8b28806912f37d74d86a7438f3f9ac754815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0209084",
    "kind": "arxiv",
    "version": 1
  }
}