Pith Number

pith:5ROKR6ML

pith:2006:5ROKR6MLLEMMN2QR4PI4MC5YKL

not attested not anchored not stored refs pending

NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia

J.P. Ma, Z.G. Si

arxiv:hep-ph/0608221 v1 · 2006-08-20 · 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{5ROKR6MLLEMMN2QR4PI4MC5YKL}

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

Rare $W \to B_c + \gamma$ decay up to the NNLO and NLL accuracy in QCD

Receipt and verification

First computed	2026-07-04T15:22:32.155829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5ca8f98b5918c6ea11e3d1c60bb852c1c52f803ff4c16242c59601b0fd1cf9

Aliases

arxiv: hep-ph/0608221 · arxiv_version: hep-ph/0608221v1 · doi: 10.48550/arxiv.hep-ph/0608221 · pith_short_12: 5ROKR6MLLEMM · pith_short_16: 5ROKR6MLLEMMN2QR · pith_short_8: 5ROKR6ML

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/5ROKR6MLLEMMN2QR4PI4MC5YKL \
  | 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: ec5ca8f98b5918c6ea11e3d1c60bb852c1c52f803ff4c16242c59601b0fd1cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149230f1549a092e8ee837142dc3a8b918f0ec1411ebe38819012642837e0600",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-08-20T02:18:09Z",
    "title_canon_sha256": "365227851b31bb8e11d93d16ff2323a016469dd047a4345cd16a45f52d9ee9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0608221",
    "kind": "arxiv",
    "version": 1
  }
}