Pith Number

pith:EX7W47DX

pith:2022:EX7W47DXH2YPRK4I77EQWAUIOX

not attested not anchored not stored refs pending

The Four Loop QCD Rapidity Anomalous Dimension

Hua Xing Zhu, Ian Moult, Yu Jiao Zhu

arxiv:2205.02249 v2 · 2022-05-04 · hep-ph · hep-th · nucl-th

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\usepackage{pith}
\pithnumber{EX7W47DXH2YPRK4I77EQWAUIOX}

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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

7 papers in Pith

The Collins-Soper kernel from a vacuum soft function

Phenomenology of genuine twist-three distributions from a global QCD analysis

Event-axis TMD measurements in $e^+e^-$ and SIDIS

The one-point charge correlator in deep inelastic scattering

Energy Correlators Resolving Proton Spin

Receipt and verification

First computed	2026-07-05T04:57:08.696632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ff6e7c773eb0f8ab88ffc90b028875e350f9ee17aebee0f34b9be3da58d743

Aliases

arxiv: 2205.02249 · arxiv_version: 2205.02249v2 · doi: 10.48550/arxiv.2205.02249 · pith_short_12: EX7W47DXH2YP · pith_short_16: EX7W47DXH2YPRK4I · pith_short_8: EX7W47DX

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/EX7W47DXH2YPRK4I77EQWAUIOX \
  | 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: 25ff6e7c773eb0f8ab88ffc90b028875e350f9ee17aebee0f34b9be3da58d743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2dcebd840ad1e1acf395a499845639bfa71fb9bf825a584e24b8bc11955a9f",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-05-04T18:00:05Z",
    "title_canon_sha256": "2cc9f6ee53401fdb454be6b3e26e6c28944755de9f77480fc422378d02398505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02249",
    "kind": "arxiv",
    "version": 2
  }
}