Pith Number

pith:7EF4YLRR

pith:1998:7EF4YLRREFA33QVHXS3OV6F6IO

not attested not anchored not stored refs pending

Relations among QCD corrections beyond leading order

J. Bl\"umlein, V. Ravindran, W.L. van Neerven

arxiv:hep-ph/9812450 v1 · 1998-12-20 · 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{7EF4YLRREFA33QVHXS3OV6F6IO}

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.

Receipt and verification

First computed	2026-07-04T15:20:53.224542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90bcc2e312141bdc2a7bcb6eaf8be438e12b95fd9160bebd49e7d563521d2ee

Aliases

arxiv: hep-ph/9812450 · arxiv_version: hep-ph/9812450v1 · doi: 10.48550/arxiv.hep-ph/9812450 · pith_short_12: 7EF4YLRREFA3 · pith_short_16: 7EF4YLRREFA33QVH · pith_short_8: 7EF4YLRR

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/7EF4YLRREFA33QVHXS3OV6F6IO \
  | 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: f90bcc2e312141bdc2a7bcb6eaf8be438e12b95fd9160bebd49e7d563521d2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea04a0a850521f7aa5fc268c3583f1e2032836437d526899d0f21dab2d34826",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-12-20T15:34:06Z",
    "title_canon_sha256": "13206dc4e631edd2ca8aeab8992236c0998c5cf1f9c4ee23c08d0c7316b53d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9812450",
    "kind": "arxiv",
    "version": 1
  }
}