Pith Number

pith:ZSWIPI3U

pith:2012:ZSWIPI3UWJIWPXUO7FIECT2LZ7

not attested not anchored not stored refs pending

The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loops

C. Sturm, J. H. Kuhn, K. G. Chetyrkin, P. A. Baikov

arxiv:1207.2199 v2 · 2012-07-10 · 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{ZSWIPI3UWJIWPXUO7FIECT2LZ7}

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	2026-05-18T03:41:10.485072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccac87a374b25167de8ef950414f4bcfecda705502c0f63bc079eb8e15467faf

Aliases

arxiv: 1207.2199 · arxiv_version: 1207.2199v2 · doi: 10.48550/arxiv.1207.2199 · pith_short_12: ZSWIPI3UWJIW · pith_short_16: ZSWIPI3UWJIWPXUO · pith_short_8: ZSWIPI3U

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/ZSWIPI3UWJIWPXUO7FIECT2LZ7 \
  | 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: ccac87a374b25167de8ef950414f4bcfecda705502c0f63bc079eb8e15467faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35aa1994d7b867a4542a61e4545a45f7c44cf7e1e5142d27084deac3501e6eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-07-10T00:15:40Z",
    "title_canon_sha256": "02e0ea36cb5923d62562e3ee93fa283bb7b26d7f1d24d1872ec858f754387744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2199",
    "kind": "arxiv",
    "version": 2
  }
}