Pith Number

pith:MKYUDV26

pith:2008:MKYUDV26LZ73562LXUKCVUIE7J

not attested not anchored not stored refs pending

Froggatt-Nielsen hierarchy and the neutrino mass matrix

Eiichi Takasugi, Hiroshi Kamikado, Tetsuo Shindou

arxiv:0805.1338 v1 · 2008-05-09 · 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{MKYUDV26LZ73562LXUKCVUIE7J}

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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

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis

Receipt and verification

First computed	2026-07-04T15:11:28.677406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b141d75e5e7fbefb4bbd142ad104fa56b296b22ecb892e4ecf8b649cc9ed2b

Aliases

arxiv: 0805.1338 · arxiv_version: 0805.1338v1 · doi: 10.48550/arxiv.0805.1338 · pith_short_12: MKYUDV26LZ73 · pith_short_16: MKYUDV26LZ73562L · pith_short_8: MKYUDV26

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/MKYUDV26LZ73562LXUKCVUIE7J \
  | 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: 62b141d75e5e7fbefb4bbd142ad104fa56b296b22ecb892e4ecf8b649cc9ed2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dd2ba49f7ae9a1bad66a4a073039d62d8984690b4ba2eaf320aaad9f59f5b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-05-09T12:30:26Z",
    "title_canon_sha256": "d96f46316638d0c80cde1810053458368e1fede43c95bee533932788b4b6c808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1338",
    "kind": "arxiv",
    "version": 1
  }
}