Pith Number

pith:A4JTPCA6

pith:2023:A4JTPCA6VAOOQQXLPG7XB7AWZG

not attested not anchored not stored refs pending

Modular flavor symmetric models

Morimitsu Tanimoto, Tatsuo Kobayashi

arxiv:2307.03384 v2 · 2023-07-07 · 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{A4JTPCA6VAOOQQXLPG7XB7AWZG}

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

10 papers in Pith

Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw

Fermion mass relations in one-parameter modular models

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

Finite modular Coleman-Weinberg inflation

The Future of Lepton Flavor

Receipt and verification

First computed	2026-07-05T06:31:32.780236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071337881ea81ce842eb79bf70fc16c988304f9bf182bbc452e9e66ce009c12f

Aliases

arxiv: 2307.03384 · arxiv_version: 2307.03384v2 · doi: 10.48550/arxiv.2307.03384 · pith_short_12: A4JTPCA6VAOO · pith_short_16: A4JTPCA6VAOOQQXL · pith_short_8: A4JTPCA6

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/A4JTPCA6VAOOQQXLPG7XB7AWZG \
  | 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: 071337881ea81ce842eb79bf70fc16c988304f9bf182bbc452e9e66ce009c12f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "905a8c843735445e352503d6ebcb5139fb592bcf31380c719a20e30dbe713c57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-07-07T04:46:12Z",
    "title_canon_sha256": "6d3e953fa64bd4a81634a0651531684749c5ae1a2a9da094d2da24356abb1f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.03384",
    "kind": "arxiv",
    "version": 2
  }
}