Pith Number

pith:FICQ5IJR

pith:2005:FICQ5IJR2OTYEBZM6GLN2FSXCG

not attested not anchored not stored refs pending

Three-Loop Mixing of Dipole Operators

Martin Gorbahn, Mikolaj Misiak, Ulrich Haisch

arxiv:hep-ph/0504194 v2 · 2005-04-21 · 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{FICQ5IJR2OTYEBZM6GLN2FSXCG}

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

The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

Receipt and verification

First computed	2026-07-04T15:26:46.176079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a050ea131d3a782072cf196dd165711ac632ad3cdb9d14c7c0e3b063c85d7f0

Aliases

arxiv: hep-ph/0504194 · arxiv_version: hep-ph/0504194v2 · doi: 10.48550/arxiv.hep-ph/0504194 · pith_short_12: FICQ5IJR2OTY · pith_short_16: FICQ5IJR2OTYEBZM · pith_short_8: FICQ5IJR

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/FICQ5IJR2OTYEBZM6GLN2FSXCG \
  | 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: 2a050ea131d3a782072cf196dd165711ac632ad3cdb9d14c7c0e3b063c85d7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe52a4351f399db5bd7670e87afc5057af1f29737fc268c75079cf274bdadb52",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-04-21T15:46:18Z",
    "title_canon_sha256": "0069691f845a29e17914f9a0567ee9f134665a5ffe3e48049793a31d4b067457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0504194",
    "kind": "arxiv",
    "version": 2
  }
}