Pith Number

pith:2ISPE3M3

pith:2023:2ISPE3M3AF76E3IDHEUH6E4OIZ

not attested not anchored not stored refs pending

Quark and lepton hierarchies from $S_4^\prime$ modular flavor symmetry

Junichiro Kawamura, Tatsuo Kobayashi, Tetsutaro Higaki, Yoshihiko Abe

arxiv:2302.11183 v1 · 2023-02-22 · 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{2ISPE3M3AF76E3IDHEUH6E4OIZ}

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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

3 papers in Pith

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

Finite modular Coleman-Weinberg inflation

A rich structure of renormalization group flows for Higgs-like models in 4 dimensions

Receipt and verification

First computed	2026-07-05T06:20:24.991455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d224f26d9b017fe26d0339287f138e467345c36a83fc4fc8b099462cac642f02

Aliases

arxiv: 2302.11183 · arxiv_version: 2302.11183v1 · doi: 10.48550/arxiv.2302.11183 · pith_short_12: 2ISPE3M3AF76 · pith_short_16: 2ISPE3M3AF76E3ID · pith_short_8: 2ISPE3M3

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/2ISPE3M3AF76E3IDHEUH6E4OIZ \
  | 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: d224f26d9b017fe26d0339287f138e467345c36a83fc4fc8b099462cac642f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f5f237da649b5ecc8898d47da2fcc647799a3a1aa7e6c3e0db0e3c2357400c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-02-22T07:33:59Z",
    "title_canon_sha256": "e84c6f8aed39c2e122977c79be0a082f7d53be3e955077957134021c33d8b613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.11183",
    "kind": "arxiv",
    "version": 1
  }
}