Pith Number

pith:EGZKOQRY

pith:2009:EGZKOQRY5NAEODKMB6H7JF575M

not attested not anchored not stored refs pending

Five-Loop Anomalous Dimension of Twist-Two Operators

A. Rej, T. Lukowski, V. N. Velizhanin

arxiv:0912.1624 v2 · 2009-12-08 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGZKOQRY5NAEODKMB6H7JF575M}

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	2026-05-18T02:33:57.130588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b2a74238eb40470d4c0f8ff497bfeb034daa6c8faff946e418ac54fbe136f7

Aliases

arxiv: 0912.1624 · arxiv_version: 0912.1624v2 · doi: 10.48550/arxiv.0912.1624 · pith_short_12: EGZKOQRY5NAE · pith_short_16: EGZKOQRY5NAEODKM · pith_short_8: EGZKOQRY

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/EGZKOQRY5NAEODKMB6H7JF575M \
  | 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: 21b2a74238eb40470d4c0f8ff497bfeb034daa6c8faff946e418ac54fbe136f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb62753a94ce564b0d3aa254c651b5397edac3d40d36b95c0a6980af0da3d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-08T22:22:09Z",
    "title_canon_sha256": "4590ff3610977416197934346db0ffad6e10d68a111dde10bd85c087cf10b14b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1624",
    "kind": "arxiv",
    "version": 2
  }
}