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Pith Number

pith:MNLMRCYD

pith:2006:MNLMRCYDFCVWZ5MAXB2F5N2CEB
not attested not anchored not stored refs pending

The charmonium and bottomonium mass spectroscopy with a simple approximation of the kinetic term

Alex E. Bernardini, C. Dobrigkeit

arxiv:hep-ph/0611344 v3 · 2006-11-28 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MNLMRCYDFCVWZ5MAXB2F5N2CEB}

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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 2026-05-18T03:46:59.260939Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6356c88b0328ab6cf580b8745eb742204e934d6fe475d9d436d335a0f4eb8c3d

Aliases

arxiv: hep-ph/0611344 · arxiv_version: hep-ph/0611344v3 · doi: 10.48550/arxiv.hep-ph/0611344 · pith_short_12: MNLMRCYDFCVW · pith_short_16: MNLMRCYDFCVWZ5MA · pith_short_8: MNLMRCYD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MNLMRCYDFCVWZ5MAXB2F5N2CEB \
  | 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: 6356c88b0328ab6cf580b8745eb742204e934d6fe475d9d436d335a0f4eb8c3d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4b8f4a8c8cb9315627b942ff414ed45714e4353fffbc2a2aab889d6f7650e696",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-11-28T01:01:39Z",
    "title_canon_sha256": "532d85bf3cfc9cf571fd4b0c90754384627d5560f280262ca1b9b8f885a214a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0611344",
    "kind": "arxiv",
    "version": 3
  }
}