Pith Number

pith:NGIL5NSV

pith:2001:NGIL5NSVPI5ZKCGIZHYQFPYZW7

not attested not anchored not stored refs pending

Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials

S. Recksiegel, Y. Sumino

arxiv:hep-ph/0109122 v2 · 2001-09-14 · 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{NGIL5NSVPI5ZKCGIZHYQFPYZW7}

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

Strong coupling in (2+1+1)-flavor QCD

Receipt and verification

First computed	2026-07-04T16:27:29.398010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6990beb6557a3b9508c8c9f102bf19b7edb129969737b90f069f535f061a6363

Aliases

arxiv: hep-ph/0109122 · arxiv_version: hep-ph/0109122v2 · doi: 10.48550/arxiv.hep-ph/0109122 · pith_short_12: NGIL5NSVPI5Z · pith_short_16: NGIL5NSVPI5ZKCGI · pith_short_8: NGIL5NSV

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/NGIL5NSVPI5ZKCGIZHYQFPYZW7 \
  | 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: 6990beb6557a3b9508c8c9f102bf19b7edb129969737b90f069f535f061a6363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e29f7df1349e3455e3bba1777e23f739dc52f50bf857a96262ffbf513e3696",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-14T05:14:04Z",
    "title_canon_sha256": "be5f1f5a4312d74c2d6e3def0ca1ea7bd04825129680980f9445ab917e3f320b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109122",
    "kind": "arxiv",
    "version": 2
  }
}