Pith Number

pith:QE6TNNY5

pith:2005:QE6TNNY5VGOA5ZQJSGJZ6ZXNAC

not attested not anchored not stored refs pending

Next-to-next-to-leading order calculations for heavy-to-light decays

A. Czarnecki, F. Tkachov, I. Blokland, M. Slusarczyk

arxiv:hep-ph/0503039 v2 · 2005-03-03 · 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{QE6TNNY5VGOA5ZQJSGJZ6ZXNAC}

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	2026-05-18T02:36:20.112504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813d36b71da99c0ee60991939f66ed008e8e4a2ceed9889624a814da1bf2325e

Aliases

arxiv: hep-ph/0503039 · arxiv_version: hep-ph/0503039v2 · doi: 10.48550/arxiv.hep-ph/0503039 · pith_short_12: QE6TNNY5VGOA · pith_short_16: QE6TNNY5VGOA5ZQJ · pith_short_8: QE6TNNY5

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/QE6TNNY5VGOA5ZQJSGJZ6ZXNAC \
  | 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: 813d36b71da99c0ee60991939f66ed008e8e4a2ceed9889624a814da1bf2325e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125aff416d4011b56c57143736127746a314a664cf6eacbfd639d20f21d96f65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-03-03T23:55:11Z",
    "title_canon_sha256": "d23518b23d99501949c5a1f98f13e25df59785b18dbec59db24d201ef60fce37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0503039",
    "kind": "arxiv",
    "version": 2
  }
}