Pith Number

pith:5CGJ6VDS

pith:2010:5CGJ6VDSMEQTECK2BQRRHWCFDC

not attested not anchored not stored refs pending

The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD

V.N.Velizhanin

arxiv:1008.2752 v4 · 2010-08-16 · 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{5CGJ6VDSMEQTECK2BQRRHWCFDC}

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	2026-05-18T04:30:26.013466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88c9f5472612132095a0c2313d84518a8ff84bc573d83313c4ec8a71eef45c8

Aliases

arxiv: 1008.2752 · arxiv_version: 1008.2752v4 · doi: 10.48550/arxiv.1008.2752 · pith_short_12: 5CGJ6VDSMEQT · pith_short_16: 5CGJ6VDSMEQTECK2 · pith_short_8: 5CGJ6VDS

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/5CGJ6VDSMEQTECK2BQRRHWCFDC \
  | 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: e88c9f5472612132095a0c2313d84518a8ff84bc573d83313c4ec8a71eef45c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3281387e8047d58d6a54b4a153e34bcf58920f01bcfd8d7b2e512e0dea9064d0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-16T19:58:12Z",
    "title_canon_sha256": "c76e0e86513194e4cc595630632337487d2f21260aab47e26a392a51b3249fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2752",
    "kind": "arxiv",
    "version": 4
  }
}