Pith Number

pith:CMUI3GJF

pith:2005:CMUI3GJFTKAXGF2EUD3VUGB6FJ

not attested not anchored not stored refs pending

Three-Loop Results for Quark and Gluon Form Factors

Amsterdam), A. Vogt (Durham Univ., Ippp), J.A.M. Vermaseren (NIKHEF, S. Moch (DESY, Zeuthen)

arxiv:hep-ph/0508055 v1 · 2005-08-04 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMUI3GJFTKAXGF2EUD3VUGB6FJ}

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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

5 papers in Pith

Renormalization of axial anomaly in SU(N)$\times$U(1)

Studying transverse momentum distributions with jets at N$^3$LL

The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs

Properties and implications of the four-loop non-singlet splitting functions in QCD

AI-assisted modeling and Bayesian inference of unpolarized quark transverse momentum distributions from Drell-Yan data

Receipt and verification

First computed	2026-07-04T17:24:54.643396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13288d99259a81731744a0f75a183e2a5ddde32a60dd2ad145e6d271703b6897

Aliases

arxiv: hep-ph/0508055 · arxiv_version: hep-ph/0508055v1 · doi: 10.48550/arxiv.hep-ph/0508055 · pith_short_12: CMUI3GJFTKAX · pith_short_16: CMUI3GJFTKAXGF2E · pith_short_8: CMUI3GJF

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/CMUI3GJFTKAXGF2EUD3VUGB6FJ \
  | 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: 13288d99259a81731744a0f75a183e2a5ddde32a60dd2ad145e6d271703b6897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb96164816e95f04b9cb48a944f34180524fa92a55f18a32327520e19b1568c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-08-04T12:51:20Z",
    "title_canon_sha256": "298f0bfe6e456f18ecd3c6c1900ef650711d11334783f26bfc2e0c9880e1f500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0508055",
    "kind": "arxiv",
    "version": 1
  }
}