Pith Number

pith:RAYYAIGB

pith:2006:RAYYAIGBCCCHE47KC42243S5JJ

not attested not anchored not stored refs pending

Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes

J.A. Gracey

arxiv:hep-ph/0609231 v1 · 2006-09-22 · 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{RAYYAIGBCCCHE47KC42243S5JJ}

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

Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

Receipt and verification

First computed	2026-07-04T17:01:48.671297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88318020c110847273ea1735ae6e5d4a42d6f5da740eae01b17a9925fb33731f

Aliases

arxiv: hep-ph/0609231 · arxiv_version: hep-ph/0609231v1 · doi: 10.48550/arxiv.hep-ph/0609231 · pith_short_12: RAYYAIGBCCCH · pith_short_16: RAYYAIGBCCCHE47K · pith_short_8: RAYYAIGB

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/RAYYAIGBCCCHE47KC42243S5JJ \
  | 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: 88318020c110847273ea1735ae6e5d4a42d6f5da740eae01b17a9925fb33731f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f27c46b085f82a1c0ca1de9f9af9e59511b13744aec7d9fcb307416f86a78d",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-09-22T11:02:40Z",
    "title_canon_sha256": "dd9a30e6a2def682f471bfcbffa559d7779379841f58544e54936de7f8ca9edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0609231",
    "kind": "arxiv",
    "version": 1
  }
}