Pith Number

pith:MZH7QI5I

pith:2023:MZH7QI5ICSVRMCNKKHIKMNIUTQ

not attested not anchored not stored refs pending

Four-loop splitting functions in QCD -- The gluon-to-quark case

A. Vogt (Liverpool U.), F. Herzog (U. Edinburgh), G. Falcioni, S. Moch (U. Hamburg)

arxiv:2307.04158 v2 · 2023-07-09 · hep-ph

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\usepackage{pith}
\pithnumber{MZH7QI5ICSVRMCNKKHIKMNIUTQ}

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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

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

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

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

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-07-05T08:07:57.153216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664ff823a814ab1609aa51d0a635149c076b8aecee6c20a5edc6162fc78f30b7

Aliases

arxiv: 2307.04158 · arxiv_version: 2307.04158v2 · doi: 10.48550/arxiv.2307.04158 · pith_short_12: MZH7QI5ICSVR · pith_short_16: MZH7QI5ICSVRMCNK · pith_short_8: MZH7QI5I

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/MZH7QI5ICSVRMCNKKHIKMNIUTQ \
  | 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: 664ff823a814ab1609aa51d0a635149c076b8aecee6c20a5edc6162fc78f30b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3f4018d31151f31ad0fd7455723f7fd3d443047650f2b62ad575669604e79c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-07-09T12:14:49Z",
    "title_canon_sha256": "05aa420de61ffb53124b7bc266a04eaa32bcf076fb8549761218fae731262f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04158",
    "kind": "arxiv",
    "version": 2
  }
}