Pith Number

pith:5KIJJKJN

pith:1998:5KIJJKJNO5TDE4DDOCIOXEJW4B

not attested not anchored not stored refs pending

Leptonic contribution to the effective electromagnetic coupling constant up to three loops

M. Steinhauser

arxiv:hep-ph/9803313 v1 · 1998-03-11 · 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{5KIJJKJNO5TDE4DDOCIOXEJW4B}

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

An EWPD SMEFT likelihood for the LHC -- and how to improve it with measurements of W and Z boson properties

Receipt and verification

First computed	2026-07-04T16:09:11.401251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9094a92d77663270637090eb9136e068f7c266abc81167febd9af0cb61fe55

Aliases

arxiv: hep-ph/9803313 · arxiv_version: hep-ph/9803313v1 · doi: 10.48550/arxiv.hep-ph/9803313 · pith_short_12: 5KIJJKJNO5TD · pith_short_16: 5KIJJKJNO5TDE4DD · pith_short_8: 5KIJJKJN

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/5KIJJKJNO5TDE4DDOCIOXEJW4B \
  | 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: ea9094a92d77663270637090eb9136e068f7c266abc81167febd9af0cb61fe55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85083d04abc17e6991ce952b9e43c2ad45bb4386c42ac04432c7530f89ec4835",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-03-11T17:45:07Z",
    "title_canon_sha256": "407a22331d04b3051c3ea61572292877daf62c3fb5208846a92903d28893c7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9803313",
    "kind": "arxiv",
    "version": 1
  }
}