Pith Number

pith:ECULMCP6

pith:2022:ECULMCP6OT7HZ7U3MNYWXWOYJD

not attested not anchored not stored refs pending

$SU(4)_C \times SU(2)_L \times U(1)_R$ models with modular $A_4$ symmetry

Hiroshi Okada, Takaaki Nomura, Yutaro Shoji

arxiv:2206.04466 v2 · 2022-06-09 · 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{ECULMCP6OT7HZ7U3MNYWXWOYJD}

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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

1 paper in Pith

Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry

Receipt and verification

First computed	2026-07-05T05:33:12.370295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a8b609fe74fe7cfe9b63716bd9d848fd50716a4705427e71ea1153139a3fbf

Aliases

arxiv: 2206.04466 · arxiv_version: 2206.04466v2 · doi: 10.48550/arxiv.2206.04466 · pith_short_12: ECULMCP6OT7H · pith_short_16: ECULMCP6OT7HZ7U3 · pith_short_8: ECULMCP6

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/ECULMCP6OT7HZ7U3MNYWXWOYJD \
  | 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: 20a8b609fe74fe7cfe9b63716bd9d848fd50716a4705427e71ea1153139a3fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc56a0f43b1e342b1c28dea40b2ff389d536a43c00b21185494ee0b8c0baf2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-06-09T12:48:05Z",
    "title_canon_sha256": "daaee02760410e14420dfe8fd66146e451db9aa5370814e29b41d7f6b6985f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04466",
    "kind": "arxiv",
    "version": 2
  }
}