Pith Number

pith:CCPAHNQK

pith:2002:CCPAHNQKHBQHJQ3L7NHJBDAYSU

not attested not anchored not stored refs pending

Complete Two Loop Bosonic Contributions to the Muon Lifetime in the Standard Model

M. Awramik, M. Czakon

arxiv:hep-ph/0208113 v2 · 2002-08-12 · 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{CCPAHNQKHBQHJQ3L7NHJBDAYSU}

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	2026-07-04T15:26:42.448873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109e03b60a386074c36bfb4e908c189527c424e16b6324baf13d130b6800174a

Aliases

arxiv: hep-ph/0208113 · arxiv_version: hep-ph/0208113v2 · doi: 10.48550/arxiv.hep-ph/0208113 · pith_short_12: CCPAHNQKHBQH · pith_short_16: CCPAHNQKHBQHJQ3L · pith_short_8: CCPAHNQK

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/CCPAHNQKHBQHJQ3L7NHJBDAYSU \
  | 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: 109e03b60a386074c36bfb4e908c189527c424e16b6324baf13d130b6800174a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4acfb64019aa1b8f9f725f8d7851fd049080547b6465c1bbe475ee826b2e4bdb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-08-12T17:34:34Z",
    "title_canon_sha256": "e6c8873896d3ecbb284dce4dbb134140e4472a731502120d394b584b5e92f83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0208113",
    "kind": "arxiv",
    "version": 2
  }
}