Pith Number

pith:F2XSMKL5

pith:2003:F2XSMKL53QDIKCV5O54RMTFJHY

not attested not anchored not stored refs pending

Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops

Martin Gorbahn, Paolo Gambino, Ulrich Haisch

arxiv:hep-ph/0306079 v2 · 2003-06-10 · 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{F2XSMKL53QDIKCV5O54RMTFJHY}

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

Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR

Four-loop QCD mixing of current-current operators

Receipt and verification

First computed	2026-07-04T15:17:40.558116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eaf26297ddc06850abd7779164ca93e06e5d5ecb72475b2738ac9f96492a117

Aliases

arxiv: hep-ph/0306079 · arxiv_version: hep-ph/0306079v2 · doi: 10.48550/arxiv.hep-ph/0306079 · pith_short_12: F2XSMKL53QDI · pith_short_16: F2XSMKL53QDIKCV5 · pith_short_8: F2XSMKL5

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/F2XSMKL53QDIKCV5O54RMTFJHY \
  | 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: 2eaf26297ddc06850abd7779164ca93e06e5d5ecb72475b2738ac9f96492a117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6bed80987ec47d05a0534dd2a1433cd4b52cd4a18306c21bc7b2a41c815434",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-06-10T11:45:11Z",
    "title_canon_sha256": "ef3931632b635887c7671ab483dcf2aea63b8073a85ec7f9b866095d27f987de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0306079",
    "kind": "arxiv",
    "version": 2
  }
}