Pith Number

pith:ZPOSROW5

pith:2024:ZPOSROW5W3OGXLN7Z3IPECVJMI

not attested not anchored not stored refs pending

Type-II seesaw of a non-holomorphic modular $A_4$ symmetry

Hiroshi Okada, Takaaki Nomura

arxiv:2408.01143 v2 · 2024-08-02 · 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{ZPOSROW5W3OGXLN7Z3IPECVJMI}

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

6 papers in Pith

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

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

Fate of $\theta_{12}$ under $\mu-\tau$ Reflection Symmetry in Light of the First JUNO Results

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

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

Receipt and verification

First computed	2026-07-05T10:29:20.797842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdd28baddb6dc6badbfced0f20aa9620e5b8a449cbdc2423b0c713b5dc985ae

Aliases

arxiv: 2408.01143 · arxiv_version: 2408.01143v2 · doi: 10.48550/arxiv.2408.01143 · pith_short_12: ZPOSROW5W3OG · pith_short_16: ZPOSROW5W3OGXLN7 · pith_short_8: ZPOSROW5

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/ZPOSROW5W3OGXLN7Z3IPECVJMI \
  | 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: cbdd28baddb6dc6badbfced0f20aa9620e5b8a449cbdc2423b0c713b5dc985ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d7ddb87610c4cf4d2911682b2751c6e0fab985cc83fdcf4d4ae8f57357d807",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-08-02T09:41:49Z",
    "title_canon_sha256": "275793b0646a584ea41a47b0fbd422664dfe05439ae1fd7a3314a882201bcae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01143",
    "kind": "arxiv",
    "version": 2
  }
}