Pith Number

pith:GNL6RVVJ

pith:2002:GNL6RVVJ46LODH27CNZYWHO3FV

not attested not anchored not stored refs pending

Three-Loop Yang-Mills beta-Function via the Covariant Background Field Method

Anton E. M. van de Ven, J.-P. Boernsen

arxiv:hep-th/0211246 v3 · 2002-11-25 · 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{GNL6RVVJ46LODH27CNZYWHO3FV}

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

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin

Receipt and verification

First computed	2026-07-04T17:24:41.430000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3357e8d6a9e796e19f5f13738b1ddb2d535936fc051f957061b5178af4ed0820

Aliases

arxiv: hep-th/0211246 · arxiv_version: hep-th/0211246v3 · doi: 10.48550/arxiv.hep-th/0211246 · pith_short_12: GNL6RVVJ46LO · pith_short_16: GNL6RVVJ46LODH27 · pith_short_8: GNL6RVVJ

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/GNL6RVVJ46LODH27CNZYWHO3FV \
  | 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: 3357e8d6a9e796e19f5f13738b1ddb2d535936fc051f957061b5178af4ed0820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d822be32dadfb7552971aa3b6bab3dafeefddf1eabb04de6a62a122f818ddc1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-25T21:58:24Z",
    "title_canon_sha256": "27ab8af129c8f9fbd704a97d8761c69108ff09c76bf8e117afe31f12d1c2cd72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211246",
    "kind": "arxiv",
    "version": 3
  }
}