Pith Number

pith:VR4LNPKR

pith:2004:VR4LNPKR22QSOK46JHTMUYU7IX

not attested not anchored not stored refs pending

Renormalization of the neutrino mass operators in the multi-Higgs-doublet Standard Model

L. Lavoura, W. Grimus

arxiv:hep-ph/0409231 v1 · 2004-09-20 · 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{VR4LNPKR22QSOK46JHTMUYU7IX}

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	2026-05-18T04:18:01.881369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac78b6bd51d6a1272b9e49e6ca629f45c6bad64f555d94042cffff991e884fe4

Aliases

arxiv: hep-ph/0409231 · arxiv_version: hep-ph/0409231v1 · doi: 10.48550/arxiv.hep-ph/0409231 · pith_short_12: VR4LNPKR22QS · pith_short_16: VR4LNPKR22QSOK46 · pith_short_8: VR4LNPKR

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/VR4LNPKR22QSOK46JHTMUYU7IX \
  | 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: ac78b6bd51d6a1272b9e49e6ca629f45c6bad64f555d94042cffff991e884fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ea5fe2559ac91a314078b2114226c56dbc64a38f2d69447777a707afa2c4f1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-09-20T14:45:04Z",
    "title_canon_sha256": "452096336e37a85e37d9fffa3ecfd9d63137cd4caf4b46250f917a4d8220bcbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0409231",
    "kind": "arxiv",
    "version": 1
  }
}