Pith Number

pith:L5MEPNYI

pith:1999:L5MEPNYIDEQVQWKNALWXMCUQ3X

not attested not anchored not stored refs pending

Steps towards NNLO QCD calculations: collinear factorization at O(\alpha_S^2)

M. Grazzini

arxiv:hep-ph/9905385 v1 · 1999-05-18 · 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{L5MEPNYIDEQVQWKNALWXMCUQ3X}

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	2026-07-04T16:14:17.516963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5847b708192158594d02ed760a90ddd4ee2a2432b7d0b2ba0b09176629fed1

Aliases

arxiv: hep-ph/9905385 · arxiv_version: hep-ph/9905385v1 · doi: 10.48550/arxiv.hep-ph/9905385 · pith_short_12: L5MEPNYIDEQV · pith_short_16: L5MEPNYIDEQVQWKN · pith_short_8: L5MEPNYI

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/L5MEPNYIDEQVQWKNALWXMCUQ3X \
  | 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: 5f5847b708192158594d02ed760a90ddd4ee2a2432b7d0b2ba0b09176629fed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48900cc12501fb50662abf9d987415b0dc8826753a4c68c6ff19fda23f61b75",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-05-18T13:29:17Z",
    "title_canon_sha256": "4fb7e19052727851fc81670e9683f033acdad11c1e8e59cd4dce4d6529d96596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9905385",
    "kind": "arxiv",
    "version": 1
  }
}