Pith Number

pith:RAVD64ZU

pith:2022:RAVD64ZUQ7N76BAGNQTTIEIIWY

not attested not anchored not stored refs pending

Towards unification of lepton and quark mass matrices from double covering of modular $A_4$ flavor symmetry

Hiroshi Okada, Petr Bene\v{s}, Yuta Orikasa

arxiv:2212.07245 v1 · 2022-12-14 · 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{RAVD64ZUQ7N76BAGNQTTIEIIWY}

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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	2026-07-05T05:25:23.089172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882a3f733487dbff04066c27341108b63a3427f00e7912d6fc9d7c4e0125a021

Aliases

arxiv: 2212.07245 · arxiv_version: 2212.07245v1 · doi: 10.48550/arxiv.2212.07245 · pith_short_12: RAVD64ZUQ7N7 · pith_short_16: RAVD64ZUQ7N76BAG · pith_short_8: RAVD64ZU

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/RAVD64ZUQ7N76BAGNQTTIEIIWY \
  | 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: 882a3f733487dbff04066c27341108b63a3427f00e7912d6fc9d7c4e0125a021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e05281a30b343d35db6b116e627e8591a480670ee5c39b0c28dc286f076812",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-12-14T14:30:00Z",
    "title_canon_sha256": "19cce912f6c321e3c1b890763f4da227971b9a9a757483636a0771ce56f31490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07245",
    "kind": "arxiv",
    "version": 1
  }
}