Pith Number

pith:A3NCQ7KB

pith:2024:A3NCQ7KBAYBREZLSB3MIFTCGOT

not attested not anchored not stored refs pending

Non-holomorphic Modular $S_4$ Lepton Flavour Models

Bu-Yao Qu, Gui-Jun Ding, Jun-Nan Lu, S. T. Petcov

arxiv:2408.15988 v1 · 2024-08-28 · 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{A3NCQ7KBAYBREZLSB3MIFTCGOT}

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

5 papers in Pith

Non-holomorphic $S^{\prime}_{4}$ modular symmetry for leptons and leptogenesis

Radiative Neutrino Mass in a Nonholomorphic $T'$ Modular Invariant Model

Two-loop neutrino mass model with modular $S_4$ symmetry

Predictions of Modular Symmetry Fixed Points on Neutrino Masses, Mixing, and Leptogenesis

Lepton masses and mixing in non-holomorphic modular $A_4$ with universal couplings

Receipt and verification

First computed	2026-07-05T09:00:20.233796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06da287d4106031265720ed882cc4674cf6734adfab4a612f0f491c79ed0dff7

Aliases

arxiv: 2408.15988 · arxiv_version: 2408.15988v1 · doi: 10.48550/arxiv.2408.15988 · pith_short_12: A3NCQ7KBAYBR · pith_short_16: A3NCQ7KBAYBREZLS · pith_short_8: A3NCQ7KB

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/A3NCQ7KBAYBREZLSB3MIFTCGOT \
  | 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: 06da287d4106031265720ed882cc4674cf6734adfab4a612f0f491c79ed0dff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19619fcc8aaae2e594a4ad0c94ffeb0a1a3952ec4829602319258ac47f2df39e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-08-28T17:55:09Z",
    "title_canon_sha256": "62b2e1c250bba746416f7f11c6a1e6103d98c0b2b468f4e356106e9985cacd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15988",
    "kind": "arxiv",
    "version": 1
  }
}