Pith Number

pith:KPFLYKZD

pith:2021:KPFLYKZD6JD3BTBZMWK2NUKAYX

not attested not anchored not stored refs pending

Three-loop corrections to the muon and heavy quark decay rates

Andrzej Czarnecki, Matthew Dowling, Micha{\l} Czakon

arxiv:2104.05804 v2 · 2021-04-12 · 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{KPFLYKZD6JD3BTBZMWK2NUKAYX}

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

Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model

Complete one-loop QED corrections to $D_s^+$ leptonic decays and impact on the CKM unitarity test

Receipt and verification

First computed	2026-07-05T03:13:17.912018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53cabc2b23f247b0cc396595a6d140c5e54fdfe56dbd941347cf41898d5cbc2a

Aliases

arxiv: 2104.05804 · arxiv_version: 2104.05804v2 · doi: 10.48550/arxiv.2104.05804 · pith_short_12: KPFLYKZD6JD3 · pith_short_16: KPFLYKZD6JD3BTBZ · pith_short_8: KPFLYKZD

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/KPFLYKZD6JD3BTBZMWK2NUKAYX \
  | 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: 53cabc2b23f247b0cc396595a6d140c5e54fdfe56dbd941347cf41898d5cbc2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c54390c9e699db869902f1e56c5393bb061d33168dd16c77fa5ea197454907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-04-12T20:27:41Z",
    "title_canon_sha256": "4bc1771939fab972fcf99f0e592a14eabf7e625fb903b6d45577323a253c9520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05804",
    "kind": "arxiv",
    "version": 2
  }
}