Pith Number

pith:GCSJ3IKE

pith:2004:GCSJ3IKEYJQ5AWFFCTH47VU2P5

not attested not anchored not stored refs pending

Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model

A.I. Onishchenko (Wayne State U. & Moscow, A.V. Kotikov (Dubna, INP), ITEP), JINR), L.N. Lipatov (St. Petersburg, V.N. Velizhanin (St. Petersburg

arxiv:hep-th/0404092 v5 · 2004-04-13 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCSJ3IKEYJQ5AWFFCTH47VU2P5}

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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

2 papers in Pith

Properties and implications of the four-loop non-singlet splitting functions in QCD

Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap

Receipt and verification

First computed	2026-05-18T01:05:58.869033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a49da144c261d058a514cfcfd69a7f7cc3255c335a4b71ec665e14f01a2440

Aliases

arxiv: hep-th/0404092 · arxiv_version: hep-th/0404092v5 · doi: 10.48550/arxiv.hep-th/0404092 · pith_short_12: GCSJ3IKEYJQ5 · pith_short_16: GCSJ3IKEYJQ5AWFF · pith_short_8: GCSJ3IKE

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/GCSJ3IKEYJQ5AWFFCTH47VU2P5 \
  | 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: 30a49da144c261d058a514cfcfd69a7f7cc3255c335a4b71ec665e14f01a2440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8910de7208cff336902fb82306d3889531f00baa57571f51ab8ba2b7e8eb37",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-04-13T18:04:55Z",
    "title_canon_sha256": "0c80a6a2bc0d884ce7a673762411c4b07365c72e93ea88ef7a377b38601fface"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0404092",
    "kind": "arxiv",
    "version": 5
  }
}