Pith Number

pith:4ZQ6ZB2M

pith:1996:4ZQ6ZB2MA6A44QGWKAI44TCP2P

not attested not anchored not stored refs pending

Exploring the Invisible Renormalon: Renormalization of the Heavy-Quark Kinetic Energy

Matthias Neubert (CERN)

arxiv:hep-ph/9610471 v1 · 1996-10-24 · 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{4ZQ6ZB2MA6A44QGWKAI44TCP2P}

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

Hyperasymptotic approximation to the top, bottom and charm pole mass

Receipt and verification

First computed	2026-07-04T16:01:58.928392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e661ec874c0781ce40d65011ce4c4fd3c746bc8b32a3fb78984c027de276387d

Aliases

arxiv: hep-ph/9610471 · arxiv_version: hep-ph/9610471v1 · doi: 10.48550/arxiv.hep-ph/9610471 · pith_short_12: 4ZQ6ZB2MA6A4 · pith_short_16: 4ZQ6ZB2MA6A44QGW · pith_short_8: 4ZQ6ZB2M

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/4ZQ6ZB2MA6A44QGWKAI44TCP2P \
  | 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: e661ec874c0781ce40d65011ce4c4fd3c746bc8b32a3fb78984c027de276387d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c353d22ac6ef7ba08623e8d4cd9a72ba3b7db52d2d7624312a33c6cb83f2be28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-10-24T19:01:34Z",
    "title_canon_sha256": "4eb891ef6f2a3f7d42a28fdb19b36b66cac064933ab6a3849c0a4f377526bcb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9610471",
    "kind": "arxiv",
    "version": 1
  }
}