Pith Number

pith:GYBBO2IN

pith:2019:GYBBO2INNHQITUJLIBVHYYPKPJ

not attested not anchored not stored refs pending

New $A_4$ lepton flavor model from $S_4$ modular symmetry

Kenta Takagi, Morimitsu Tanimoto, Takuya H. Tatsuishi, Tatsuo Kobayashi, Yusuke Shimizu

arxiv:1907.09141 v4 · 2019-07-22 · 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{GYBBO2INNHQITUJLIBVHYYPKPJ}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T00:48:16.923772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360217690d69e089d12b406a7c61ea7a58ef77ffbb1df95fff43bafe89543400

Aliases

arxiv: 1907.09141 · arxiv_version: 1907.09141v4 · doi: 10.48550/arxiv.1907.09141 · pith_short_12: GYBBO2INNHQI · pith_short_16: GYBBO2INNHQITUJL · pith_short_8: GYBBO2IN

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/GYBBO2INNHQITUJLIBVHYYPKPJ \
  | 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: 360217690d69e089d12b406a7c61ea7a58ef77ffbb1df95fff43bafe89543400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7b6b7111546fffaf7fa2bfbe1e8e3cbe67bcde58559e2b761d7a6b619529f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-07-22T05:26:47Z",
    "title_canon_sha256": "1598da917a920eefae3f07e0a66de4993127bd64fc22c5c398e1409f3ee717a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09141",
    "kind": "arxiv",
    "version": 4
  }
}