Pith Number

pith:TYY4C7Y2

pith:2025:TYY4C7Y2HDHYXBYU4IUY6POJDV

not attested not anchored not stored refs pending

Nonholomorphic $A_4$ modular invariance for fermion masses and mixing in SU(5) GUT

Mohamed Amin Loualidi, Mohamed Miskaoui, Salah Nasri

arxiv:2503.12594 v2 · 2025-03-16 · 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{TYY4C7Y2HDHYXBYU4IUY6POJDV}

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

3 papers in Pith

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

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

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

Receipt and verification

First computed	2026-07-05T11:48:01.823431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e31c17f1a38cf8b8714e2298f3dc91d6f7ee1cfd23b025f737468dc28c81931

Aliases

arxiv: 2503.12594 · arxiv_version: 2503.12594v2 · doi: 10.48550/arxiv.2503.12594 · pith_short_12: TYY4C7Y2HDHY · pith_short_16: TYY4C7Y2HDHYXBYU · pith_short_8: TYY4C7Y2

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/TYY4C7Y2HDHYXBYU4IUY6POJDV \
  | 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: 9e31c17f1a38cf8b8714e2298f3dc91d6f7ee1cfd23b025f737468dc28c81931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112aa0b096f3fe025567596011a7e5e3da1710939f9d5b441de875a55060f2d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-03-16T18:00:01Z",
    "title_canon_sha256": "edde5b69cab41154104943d08c061ebdf84d61981251a4b0f64e6f0ec590403c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.12594",
    "kind": "arxiv",
    "version": 2
  }
}