Pith Number

pith:L2QMX3P5

pith:1998:L2QMX3P54OI2ZBGFMT3N7E5TEQ

not attested not anchored not stored refs pending

Renormalons

M. Beneke (CERN)

arxiv:hep-ph/9807443 v2 · 1998-07-21 · 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{L2QMX3P54OI2ZBGFMT3N7E5TEQ}

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

11 papers in Pith

Anatomy of the simplest renormalon

Revisiting lifetimes of doubly charmed baryons

Renormalisation

Trans-series from condensates in the non-linear sigma model

Hadronic tau decays at higher orders in QCD

Receipt and verification

First computed	2026-05-18T02:36:57.772724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea0cbedfde391ac84c564f6df93b3242847d422e1c0fdf1b64ef4ddf2bf6d6b

Aliases

arxiv: hep-ph/9807443 · arxiv_version: hep-ph/9807443v2 · doi: 10.48550/arxiv.hep-ph/9807443 · pith_short_12: L2QMX3P54OI2 · pith_short_16: L2QMX3P54OI2ZBGF · pith_short_8: L2QMX3P5

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/L2QMX3P54OI2ZBGFMT3N7E5TEQ \
  | 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: 5ea0cbedfde391ac84c564f6df93b3242847d422e1c0fdf1b64ef4ddf2bf6d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f411c9dcc86ad3c6aa6d23c72dd9b7b03af4134ba7a8d970bea448043cc918",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-07-21T10:05:39Z",
    "title_canon_sha256": "67f0590149a672d293289985eaae304779ed285750bcabf200e4003de19e00de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9807443",
    "kind": "arxiv",
    "version": 2
  }
}