Pith Number

pith:DXOY3TM6

pith:2023:DXOY3TM65C2IFVGCAUGMLDJLF2

not attested not anchored not stored refs pending

Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions

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

arxiv:2308.07958 v3 · 2023-08-15 · hep-ph · hep-th · nucl-th

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\usepackage{pith}
\pithnumber{DXOY3TM65C2IFVGCAUGMLDJLF2}

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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	2026-07-05T09:41:28.290898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ddd8dcd9ee8b482d4c2050cc58d2b2eb762cc095d2ae01116020ea6defcbfae

Aliases

arxiv: 2308.07958 · arxiv_version: 2308.07958v3 · doi: 10.48550/arxiv.2308.07958 · pith_short_12: DXOY3TM65C2I · pith_short_16: DXOY3TM65C2IFVGC · pith_short_8: DXOY3TM6

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/DXOY3TM65C2IFVGCAUGMLDJLF2 \
  | 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: 1ddd8dcd9ee8b482d4c2050cc58d2b2eb762cc095d2ae01116020ea6defcbfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9aa7447ee11d5093251630edccd57b4454bccda2a9b7c3d208ff390b6f1dbf6",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-08-15T18:00:04Z",
    "title_canon_sha256": "a73c4d27646a7bffe645306a2aaf5018f2b1d21a34a0518e8b981e4369b636a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07958",
    "kind": "arxiv",
    "version": 3
  }
}