Pith Number

pith:IVFCP7DV

pith:1998:IVFCP7DVU4TVK6XEF3UZGMPEQJ

not attested not anchored not stored refs pending

Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations

M. Grazzini, S. Catani

arxiv:hep-ph/9810389 v2 · 1998-10-16 · 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{IVFCP7DVU4TVK6XEF3UZGMPEQJ}

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

4 papers in Pith

Dissecting Parton Showers with Multi-Point Energy Correlators

Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation

The one-point charge correlator in deep inelastic scattering

Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

Receipt and verification

First computed	2026-07-04T16:09:33.531337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454a27fc75a727557ae42ee99331e4827038f0b2cc105bb84b6afa3d80f9aa17

Aliases

arxiv: hep-ph/9810389 · arxiv_version: hep-ph/9810389v2 · doi: 10.48550/arxiv.hep-ph/9810389 · pith_short_12: IVFCP7DVU4TV · pith_short_16: IVFCP7DVU4TVK6XE · pith_short_8: IVFCP7DV

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/IVFCP7DVU4TVK6XEF3UZGMPEQJ \
  | 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: 454a27fc75a727557ae42ee99331e4827038f0b2cc105bb84b6afa3d80f9aa17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1c1ba9f19abff3a31d38987d5a9342ad79ef5d36da5f4855b85afcf0fd1456",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-10-16T15:29:25Z",
    "title_canon_sha256": "6ae4efaa071e8a824f22a039c2da167d40d304913592e9d580e5274c8fa6dc21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9810389",
    "kind": "arxiv",
    "version": 2
  }
}