Pith Number

pith:YL6V4LZU

pith:2018:YL6V4LZUXY3AFBNKYM3RBH5QIR

not attested not anchored not stored refs pending

Four-loop results for the cusp anomalous dimension

A.G.Grozin, J.M.Henn, M.Stahlhofen, R.Br\"user

arxiv:1807.05145 v2 · 2018-07-13 · 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{YL6V4LZUXY3AFBNKYM3RBH5QIR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:10:36.601362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd

Aliases

arxiv: 1807.05145 · arxiv_version: 1807.05145v2 · doi: 10.48550/arxiv.1807.05145 · pith_short_12: YL6V4LZUXY3A · pith_short_16: YL6V4LZUXY3AFBNK · pith_short_8: YL6V4LZU

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/YL6V4LZUXY3AFBNKYM3RBH5QIR \
  | 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: c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119aa28dbf48ae3de522f5dee1977a0e392ecb71abc4d4caed86e1ace68d61a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-07-13T15:41:15Z",
    "title_canon_sha256": "48a6401e1de0c6523eae1b168201ed1b78acabc57b00ced29e25d3d3f57c1a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05145",
    "kind": "arxiv",
    "version": 2
  }
}