Pith Number

pith:YI2SWFOK

pith:2008:YI2SWFOKMU37NCQV46W7MNRV5K

not attested not anchored not stored refs pending

Four loop twist two, BFKL, wrapping and strings

Romuald A. Janik, Tomasz Lukowski, Zoltan Bajnok

arxiv:0811.4448 v4 · 2008-11-26 · 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{YI2SWFOKMU37NCQV46W7MNRV5K}

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.

Cited by

2 papers in Pith

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

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

Receipt and verification

First computed	2026-05-18T02:35:13.748160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2352b15ca6537f68a15e7adf63635eab493123a57f27273ba83f5f5bad580f2

Aliases

arxiv: 0811.4448 · arxiv_version: 0811.4448v4 · doi: 10.48550/arxiv.0811.4448 · pith_short_12: YI2SWFOKMU37 · pith_short_16: YI2SWFOKMU37NCQV · pith_short_8: YI2SWFOK

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/YI2SWFOKMU37NCQV46W7MNRV5K \
  | 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: c2352b15ca6537f68a15e7adf63635eab493123a57f27273ba83f5f5bad580f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ddbf0eed2af8a5359969fb353c58a78444bd745f3e9b4813a977571d51f049",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-11-26T22:37:16Z",
    "title_canon_sha256": "cfa4bb5170aa08f8c2a81ca53f7714f7f867204fc3a5b343f179cf7d298be6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4448",
    "kind": "arxiv",
    "version": 4
  }
}