Pith Number

pith:LHPROJNT

pith:2021:LHPROJNTS5LCTKEMPPM47UGTE4

not attested not anchored not stored refs pending

Electric charge renormalization to all orders

Stefan Dittmaier

arxiv:2101.05154 v2 · 2021-01-13 · 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{LHPROJNTS5LCTKEMPPM47UGTE4}

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

Towards the two-loop electroweak corrections to the Drell-Yan process: the complete fermionic contributions

Three loop QCD corrections to electroweak radiative parameters

Receipt and verification

First computed	2026-07-05T02:25:34.832244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59df1725b3975629a88c7bd9cfd0d327217b6cd8474582122f02d37536881670

Aliases

arxiv: 2101.05154 · arxiv_version: 2101.05154v2 · doi: 10.48550/arxiv.2101.05154 · pith_short_12: LHPROJNTS5LC · pith_short_16: LHPROJNTS5LCTKEM · pith_short_8: LHPROJNT

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/LHPROJNTS5LCTKEMPPM47UGTE4 \
  | 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: 59df1725b3975629a88c7bd9cfd0d327217b6cd8474582122f02d37536881670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02816f8b2a8127a20c19150270d0717de5ff158ac64b43946d68bc0bfb915d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-13T15:53:10Z",
    "title_canon_sha256": "810e744d4e4ed6c5db00361d4a7b73c5b07c585b4b32b75c06f79603994fe416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05154",
    "kind": "arxiv",
    "version": 2
  }
}