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Pith Number

pith:PHNGICDP

pith:2022:PHNGICDPLTVXYFDMXZ3G4KGBO2
not attested not anchored not stored refs pending

NNLO anomalous dimension matrix for twist-two flavor-singlet operators

A.N. Manashov, K.G. Chetyrkin, V.M. Braun

arxiv:2205.08228 v1 · 2022-05-17 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PHNGICDPLTVXYFDMXZ3G4KGBO2}

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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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T04:54:59.006142Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

79da64086f5ceb7c146cbe766e28c1768137e05d7ac5fdfc5926ea8f2191e225

Aliases

arxiv: 2205.08228 · arxiv_version: 2205.08228v1 · doi: 10.48550/arxiv.2205.08228 · pith_short_12: PHNGICDPLTVX · pith_short_16: PHNGICDPLTVXYFDM · pith_short_8: PHNGICDP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2 \
  | 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: 79da64086f5ceb7c146cbe766e28c1768137e05d7ac5fdfc5926ea8f2191e225
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "def7cddd1472a64d17d54c758912e019b9807b18051522ab0110764aefd70dba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-05-17T10:57:54Z",
    "title_canon_sha256": "e739ee995bf4e9a298af9b0111c1668a9313d25c7ae9d8f7864f3bfa7de219b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.08228",
    "kind": "arxiv",
    "version": 1
  }
}