Pith. sign in
Pith Number

pith:5DJND63V

pith:2005:5DJND63VEQLN5TZ5U22NK7Y6YQ
not attested not anchored not stored refs pending

Radiative decays of quarkonium states, momentum operator expansion and nilpotent operators

A.V. Anisovich, A.V. Sarantsev, M.A. Matveev, V.A. Nikonov, V.N. Markov, V.V. Anisovich

arxiv:hep-ph/0509042 v2 · 2005-09-06 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5DJND63VEQLN5TZ5U22NK7Y6YQ}

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.
Receipt and verification
First computed 2026-07-04T16:55:49.107386Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e8d2d1fb752416decf3da6b4d57f1ec4092f26f31c27939b7dda4c86c375d0dc

Aliases

arxiv: hep-ph/0509042 · arxiv_version: hep-ph/0509042v2 · doi: 10.48550/arxiv.hep-ph/0509042 · pith_short_12: 5DJND63VEQLN · pith_short_16: 5DJND63VEQLN5TZ5 · pith_short_8: 5DJND63V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5DJND63VEQLN5TZ5U22NK7Y6YQ \
  | 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: e8d2d1fb752416decf3da6b4d57f1ec4092f26f31c27939b7dda4c86c375d0dc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c3d48d169e695e49ea7f794f45171e2d21dd1f5697475d1743f2326d644e8fcd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-09-06T09:39:04Z",
    "title_canon_sha256": "03868b7a97ebfdadb174ef36c4da7c244dadef78fbb883749712ecf9247b7399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0509042",
    "kind": "arxiv",
    "version": 2
  }
}