Pith Number

pith:4TOIBTUB

pith:1997:4TOIBTUBPV2J7H74PVD3EBWEXK

not attested not anchored not stored refs pending

Large-order Behaviour due to Ultraviolet Renormalons in QCD

M. Beneke (CERN), N. Kivel (St. Petersburg), V.M. Braun (NORDITA)

arxiv:hep-ph/9703389 v1 · 1997-03-21 · 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{4TOIBTUBPV2J7H74PVD3EBWEXK}

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

Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings

Receipt and verification

First computed	2026-07-04T16:04:54.472725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4dc80ce817d749f9ffc7d47b206c4bab11acc686ca4d32f83e146f3240452f2

Aliases

arxiv: hep-ph/9703389 · arxiv_version: hep-ph/9703389v1 · doi: 10.48550/arxiv.hep-ph/9703389 · pith_short_12: 4TOIBTUBPV2J · pith_short_16: 4TOIBTUBPV2J7H74 · pith_short_8: 4TOIBTUB

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/4TOIBTUBPV2J7H74PVD3EBWEXK \
  | 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: e4dc80ce817d749f9ffc7d47b206c4bab11acc686ca4d32f83e146f3240452f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae71d7a1b3f22d207bd0d80319b58325f6bfb7d7b1ba577ef17fedfdd68662f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-03-21T18:59:28Z",
    "title_canon_sha256": "54846e3d424fffdd2c611168c76e1175cac9af4a818c48b490dca9efdb3ba8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9703389",
    "kind": "arxiv",
    "version": 1
  }
}