Pith Number

pith:MW5VS7AU

pith:2004:MW5VS7AU44X6FB4BGTC3IOVK4R

not attested not anchored not stored refs pending

The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

A. Vogt, J.A.M. Vermaseren, S. Moch

arxiv:hep-ph/0403192 v1 · 2004-03-17 · 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{MW5VS7AU44X6FB4BGTC3IOVK4R}

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

18 papers in Pith

QCD for electroweak precision measurements: Foundations

Polarized Deep-Inelastic Scattering with Spin Correlations in Herwig 7

PDF evolution in alternative factorisation schemes

The Collins-Soper kernel from a vacuum soft function

Event-axis TMD measurements in $e^+e^-$ and SIDIS

Receipt and verification

First computed	2026-07-04T15:23:10.049130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bb597c14e72fe2878134c5b43aaae4409ab9b3b2050a1bbaf1a7331df14e5f

Aliases

arxiv: hep-ph/0403192 · arxiv_version: hep-ph/0403192v1 · doi: 10.48550/arxiv.hep-ph/0403192 · pith_short_12: MW5VS7AU44X6 · pith_short_16: MW5VS7AU44X6FB4B · pith_short_8: MW5VS7AU

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/MW5VS7AU44X6FB4BGTC3IOVK4R \
  | 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: 65bb597c14e72fe2878134c5b43aaae4409ab9b3b2050a1bbaf1a7331df14e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd445bdb87d0aed5deca023e8f74ab21f02a4060db724465dc73992a0d3cdfe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-03-17T16:42:56Z",
    "title_canon_sha256": "74fca1e16a555e1a51e0a1367acbce4e320487fe95fad0c45d5fe51a8fc1763d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0403192",
    "kind": "arxiv",
    "version": 1
  }
}