Pith Number

pith:D2GPY5AA

pith:2024:D2GPY5AADFC3OQ2DKSTTBUSCHB

not attested not anchored not stored refs pending

Zee model in a non-holomorphic modular $A_4$ symmetry

Hiroshi Okada, Takaaki Nomura

arxiv:2412.18095 v2 · 2024-12-24 · 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{D2GPY5AADFC3OQ2DKSTTBUSCHB}

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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

Zee models with a non-invertible $Z_M$ symmetry

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

Receipt and verification

First computed	2026-07-05T11:13:17.496916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8cfc74001945b7434354a730d2423849ac706432a278a79289c96e222b3211

Aliases

arxiv: 2412.18095 · arxiv_version: 2412.18095v2 · doi: 10.48550/arxiv.2412.18095 · pith_short_12: D2GPY5AADFC3 · pith_short_16: D2GPY5AADFC3OQ2D · pith_short_8: D2GPY5AA

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/D2GPY5AADFC3OQ2DKSTTBUSCHB \
  | 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: 1e8cfc74001945b7434354a730d2423849ac706432a278a79289c96e222b3211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01e6069b2cc784bcddb0272775a273a805eb683113d1bd3feebc6fbb3df5382",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-12-24T02:11:11Z",
    "title_canon_sha256": "930ab3d8bf4b90d82226336773e14c4af9c3cfd3dac4b24d26a1d5924a1d8e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18095",
    "kind": "arxiv",
    "version": 2
  }
}