Pith Number

pith:FNTK2YUA

pith:2003:FNTK2YUAJTCKQEMMTOZF5ADMQZ

not attested not anchored not stored refs pending

Subleading collinear operators and their matrix elements

Andri Hardmeier, Daniel Wyler, Dan Pirjol, Enrico Lunghi

arxiv:hep-ph/0307171 v3 · 2003-07-13 · 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{FNTK2YUAJTCKQEMMTOZF5ADMQZ}

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

Probing unknown nonperturbative effects in $b \to s \ell\ell$ with inclusive and exclusive observables

Receipt and verification

First computed	2026-07-04T16:40:49.041901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b66ad62804cc4a8118c9bb25e806c8656442c8c8e1fe1ccb3ce9f697829d697

Aliases

arxiv: hep-ph/0307171 · arxiv_version: hep-ph/0307171v3 · doi: 10.48550/arxiv.hep-ph/0307171 · pith_short_12: FNTK2YUAJTCK · pith_short_16: FNTK2YUAJTCKQEMM · pith_short_8: FNTK2YUA

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/FNTK2YUAJTCKQEMMTOZF5ADMQZ \
  | 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: 2b66ad62804cc4a8118c9bb25e806c8656442c8c8e1fe1ccb3ce9f697829d697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17536654ec215f5455429699c4bd7dd3bdb1966f53af61922b45af9523acb46d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-13T20:44:34Z",
    "title_canon_sha256": "fe7d381db87f6f8870267234052b18289eb73ac3db2a5e5f94e5c69f4a43c186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307171",
    "kind": "arxiv",
    "version": 3
  }
}