Pith Number

pith:4W6QWXHB

pith:2023:4W6QWXHBR5BMMBLHPDA26ENDQJ

not attested not anchored not stored refs pending

Three-loop $b\to s\gamma$ vertex with current-current operators

Fabian Lange, Kay Schoenwald, Matteo Fael, Matthias Steinhauser

arxiv:2309.14706 v2 · 2023-09-26 · 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{4W6QWXHBR5BMMBLHPDA26ENDQJ}

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	2026-07-05T07:21:44.894033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bd0b5ce18f42c6056778c1af11a382492aacfdf0aeae988fe9485df0c08f93

Aliases

arxiv: 2309.14706 · arxiv_version: 2309.14706v2 · doi: 10.48550/arxiv.2309.14706 · pith_short_12: 4W6QWXHBR5BM · pith_short_16: 4W6QWXHBR5BMMBLH · pith_short_8: 4W6QWXHB

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/4W6QWXHBR5BMMBLHPDA26ENDQJ \
  | 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: e5bd0b5ce18f42c6056778c1af11a382492aacfdf0aeae988fe9485df0c08f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44badba610ab95fd232ab3b13eeb6f7e3a0bd136435b313d02d3eb885e7cbd2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-09-26T07:00:01Z",
    "title_canon_sha256": "32d9a8449ed93eb9fbbe79044b1aa2b7f6f128ee7721e3a53e03afc1ee8d7eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.14706",
    "kind": "arxiv",
    "version": 2
  }
}