Pith Number

pith:UKCY3NFA

pith:2006:UKCY3NFAKUWFC6S32C5WQEZ5E3

not attested not anchored not stored refs pending

Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter

M. Czakon, R. Boughezal

arxiv:hep-ph/0606232 v2 · 2006-06-21 · 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{UKCY3NFAKUWFC6S32C5WQEZ5E3}

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	2026-07-04T17:01:46.237159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2858db4a0552c517a5bd0bb68133d26d090511ad9147f2be85dce6de7eafa7a

Aliases

arxiv: hep-ph/0606232 · arxiv_version: hep-ph/0606232v2 · doi: 10.48550/arxiv.hep-ph/0606232 · pith_short_12: UKCY3NFAKUWF · pith_short_16: UKCY3NFAKUWFC6S3 · pith_short_8: UKCY3NFA

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/UKCY3NFAKUWFC6S32C5WQEZ5E3 \
  | 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: a2858db4a0552c517a5bd0bb68133d26d090511ad9147f2be85dce6de7eafa7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f80e9059109bb5873d7a5752352d1e9d6da01cd9f707d01bde7ae664fecc56f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-06-21T15:28:47Z",
    "title_canon_sha256": "8c4008f78354674bbc321eef6c470663bcf7f8623478a629e87b808263a4cf22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0606232",
    "kind": "arxiv",
    "version": 2
  }
}