Pith Number

pith:Z3G54SXP

pith:2023:Z3G54SXP3PI3RH7LA7LRA6ASGC

not attested not anchored not stored refs pending

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

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

arxiv:2302.07593 v1 · 2023-02-15 · hep-ph

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\usepackage{pith}
\pithnumber{Z3G54SXP3PI3RH7LA7LRA6ASGC}

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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	2026-07-05T06:20:24.730901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecdde4aefdbd1b89feb07d710781230a7f062c6d1b2be3829a68d67abaeb7c6

Aliases

arxiv: 2302.07593 · arxiv_version: 2302.07593v1 · doi: 10.48550/arxiv.2302.07593 · pith_short_12: Z3G54SXP3PI3 · pith_short_16: Z3G54SXP3PI3RH7L · pith_short_8: Z3G54SXP

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/Z3G54SXP3PI3RH7LA7LRA6ASGC \
  | 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: cecdde4aefdbd1b89feb07d710781230a7f062c6d1b2be3829a68d67abaeb7c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1080fd5d70fe2ea59d3f8586e16968a372f172dd27d36f6a41e9f0d969dc31cb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-02-15T11:19:01Z",
    "title_canon_sha256": "49dbbd3043ef55615229f7fe87ca6fc3f5c555656ecf54d27cf1f31c8b93ee55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07593",
    "kind": "arxiv",
    "version": 1
  }
}