Pith Number

pith:X5CCFHQX

pith:2003:X5CCFHQXGILSVTSOTGIBCHNK45

not attested not anchored not stored refs pending

Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes

J.A. Gracey

arxiv:hep-ph/0306163 v2 · 2003-06-18 · hep-ph · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5CCFHQXGILSVTSOTGIBCHNK45}

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

1 paper in Pith

The Momentum Fraction, Helicity and Transversity Isovector Moments of Nucleons from \texorpdfstring{$2+1$}{2+1}-flavor Lattice QCD

Receipt and verification

First computed	2026-07-04T16:40:46.882682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf44229e1732172ace4e9990111daae771682d83108987abaddf5a573399d96c

Aliases

arxiv: hep-ph/0306163 · arxiv_version: hep-ph/0306163v2 · doi: 10.48550/arxiv.hep-ph/0306163 · pith_short_12: X5CCFHQXGILS · pith_short_16: X5CCFHQXGILSVTSO · pith_short_8: X5CCFHQX

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/X5CCFHQXGILSVTSOTGIBCHNK45 \
  | 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: bf44229e1732172ace4e9990111daae771682d83108987abaddf5a573399d96c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931bf7889ed17a2ff77f53141796bdd2dbab651b0f47463e49293d28ca814906",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-06-18T10:10:57Z",
    "title_canon_sha256": "16de05dad4d3bad61c23034123af4d7f8f8e47742729d9325ad1f894f8176edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0306163",
    "kind": "arxiv",
    "version": 2
  }
}