Pith Number

pith:NYUB7BBR

pith:2003:NYUB7BBRWMQDQYDWYYA7S2TSA3

not attested not anchored not stored refs pending

QCD perturbation theory at large orders with large renormalization scales in the large $\beta_0$ limit

H. Verschelde, K. Van Acoleyen

arxiv:hep-ph/0307070 v2 · 2003-07-04 · 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{NYUB7BBRWMQDQYDWYYA7S2TSA3}

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	2026-07-04T16:40:48.523643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e281f8431b320386076c601f96a7206cfd67e985f60b33bd690bdc333dff053

Aliases

arxiv: hep-ph/0307070 · arxiv_version: hep-ph/0307070v2 · doi: 10.48550/arxiv.hep-ph/0307070 · pith_short_12: NYUB7BBRWMQD · pith_short_16: NYUB7BBRWMQDQYDW · pith_short_8: NYUB7BBR

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/NYUB7BBRWMQDQYDWYYA7S2TSA3 \
  | 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: 6e281f8431b320386076c601f96a7206cfd67e985f60b33bd690bdc333dff053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78909a8e92f9c5bdec9fce72a69b9940055eeea876ccfae2030c0c3002e653ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-04T17:21:20Z",
    "title_canon_sha256": "802e7ae7fc502bb7623e635cd5bc0dcfd0a68543685c96b1f4167dfb1e34725a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307070",
    "kind": "arxiv",
    "version": 2
  }
}