Pith Number

pith:DYX7GBQC

pith:2023:DYX7GBQC27NMCHVOVGFO4FYVKD

not attested not anchored not stored refs pending

The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order

Andreas von Manteuffel, Thomas Gehrmann, Tong-Zhi Yang, Vasily Sotnikov

arxiv:2310.12240 v2 · 2023-10-18 · hep-ph

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\usepackage{pith}
\pithnumber{DYX7GBQC27NMCHVOVGFO4FYVKD}

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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

4 papers in Pith

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	2026-07-05T09:41:29.066394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2ff30602d7dac11eaea98aee171550e80da856f1a534e0d8288848ab196a28

Aliases

arxiv: 2310.12240 · arxiv_version: 2310.12240v2 · doi: 10.48550/arxiv.2310.12240 · pith_short_12: DYX7GBQC27NM · pith_short_16: DYX7GBQC27NMCHVO · pith_short_8: DYX7GBQC

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/DYX7GBQC27NMCHVOVGFO4FYVKD \
  | 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: 1e2ff30602d7dac11eaea98aee171550e80da856f1a534e0d8288848ab196a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a1d94dc7857c02efb1a5f91703a12d39e2e6d7f40da010b4e0cd3f9cd35b4d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-10-18T18:26:54Z",
    "title_canon_sha256": "395a0b6bf183701142ec48ad5affeb2079e913881577279750772dc08881c420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.12240",
    "kind": "arxiv",
    "version": 2
  }
}