Pith Number

pith:LPWY4MC7

pith:2013:LPWY4MC7IUXKT2WDD646KJZTVH

not attested not anchored not stored refs pending

Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED

Christian Sturm

arxiv:1305.0581 v1 · 2013-05-02 · 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{LPWY4MC7IUXKT2WDD646KJZTVH}

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

2 papers in Pith

The anomalous magnetic moment of the muon in the Standard Model

Combined effective field theory interpretation of Higgs boson, electroweak vector boson, top quark, and multi-jet measurements

Receipt and verification

First computed	2026-05-18T03:18:39.947631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bed8e305f452ea9eac31fb9e52733a9c42a8bd400d9976c9732cd787c8d1708

Aliases

arxiv: 1305.0581 · arxiv_version: 1305.0581v1 · doi: 10.48550/arxiv.1305.0581 · pith_short_12: LPWY4MC7IUXK · pith_short_16: LPWY4MC7IUXKT2WD · pith_short_8: LPWY4MC7

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/LPWY4MC7IUXKT2WDD646KJZTVH \
  | 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: 5bed8e305f452ea9eac31fb9e52733a9c42a8bd400d9976c9732cd787c8d1708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b014ddf1fa3ab45ed32b4c6207ef0c47bd5dd626b26c6a7230ad9b06ab2d91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-05-02T21:15:27Z",
    "title_canon_sha256": "da046a33a0d2018b748f3ca09bb78e13936fd16deb0b5be9523e5304e3f1f7eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0581",
    "kind": "arxiv",
    "version": 1
  }
}