Pith Number

pith:24MYBAAT

pith:2001:24MYBAATL5ZI44XPQYMWIZRYWV

not attested not anchored not stored refs pending

The Two-Loop QCD Matrix Element for $e^+e^- \to 3$ Jets

A.Koukoutsakis, E.Remiddi, E.W.N.Glover, L.W.Garland, T.Gehrmann

arxiv:hep-ph/0112081 v1 · 2001-12-05 · 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{24MYBAATL5ZI44XPQYMWIZRYWV}

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

Monte Carlo Event Generators for Future Lepton Colliders

Receipt and verification

First computed	2026-07-04T17:25:22.062954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7198080135f728e72ef8619646638b5716aa39779ba55faa4718bb280d937a0

Aliases

arxiv: hep-ph/0112081 · arxiv_version: hep-ph/0112081v1 · doi: 10.48550/arxiv.hep-ph/0112081 · pith_short_12: 24MYBAATL5ZI · pith_short_16: 24MYBAATL5ZI44XP · pith_short_8: 24MYBAAT

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/24MYBAATL5ZI44XPQYMWIZRYWV \
  | 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: d7198080135f728e72ef8619646638b5716aa39779ba55faa4718bb280d937a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b120c631c006a62e8462620422825853b94fc6e7961c43dc29b36714eefd85",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-12-05T16:02:50Z",
    "title_canon_sha256": "b349990862fe1e80a00e34a8c1406e759e9dfe7a8232b88edb08deb6ae7b4224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0112081",
    "kind": "arxiv",
    "version": 1
  }
}