Pith Number

pith:Z5VCNPA3

pith:1999:Z5VCNPA323UCGAS5AVIXM3ZJWO

not attested not anchored not stored refs pending

Relations among Higher Order QCD corrections

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

arxiv:hep-ph/9905513 v1 · 1999-05-27 · 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{Z5VCNPA323UCGAS5AVIXM3ZJWO}

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	2026-07-04T16:14:18.922984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6a26bc1bd6e823025d0551766f29b3801c66a1132c5824506b2cb473e04546

Aliases

arxiv: hep-ph/9905513 · arxiv_version: hep-ph/9905513v1 · doi: 10.48550/arxiv.hep-ph/9905513 · pith_short_12: Z5VCNPA323UC · pith_short_16: Z5VCNPA323UCGAS5 · pith_short_8: Z5VCNPA3

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/Z5VCNPA323UCGAS5AVIXM3ZJWO \
  | 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: cf6a26bc1bd6e823025d0551766f29b3801c66a1132c5824506b2cb473e04546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24f5a8089f2006fc93b1468669828d6cfd31ddf29253b68e687fa1605061ab6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-05-27T20:19:08Z",
    "title_canon_sha256": "8dbb711569de6edbf9e906fb863a99586c945d5ca0a29eede64dc6a8c6615f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9905513",
    "kind": "arxiv",
    "version": 1
  }
}