Pith Number

pith:WKMAXDWW

pith:2018:WKMAXDWW7JPS3FU5NCVQLBR7IH

not attested not anchored not stored refs pending

Neutrino mixing from finite modular groups

Kentaro Tanaka, Takuya H. Tatsuishi, Tatsuo Kobayashi

arxiv:1803.10391 v2 · 2018-03-28 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKMAXDWW7JPS3FU5NCVQLBR7IH}

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

3 papers in Pith

Why Quarks and Leptons Demand Different Symmetries: A Systematic $Z_3$ Froggatt-Nielsen Analysis

Quark hierarchies and CP violation from the Siegel modular group

Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$

Receipt and verification

First computed	2026-05-18T00:11:05.628818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2980b8ed6fa5f2d969d68ab05863f41ef4bc68f93dbe315f593cdeb551682ac

Aliases

arxiv: 1803.10391 · arxiv_version: 1803.10391v2 · doi: 10.48550/arxiv.1803.10391 · pith_short_12: WKMAXDWW7JPS · pith_short_16: WKMAXDWW7JPS3FU5 · pith_short_8: WKMAXDWW

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/WKMAXDWW7JPS3FU5NCVQLBR7IH \
  | 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: b2980b8ed6fa5f2d969d68ab05863f41ef4bc68f93dbe315f593cdeb551682ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768f185a8b517d0a367fde2cac2a310feacbd793d170ed18c936634484baa8cb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-03-28T02:37:18Z",
    "title_canon_sha256": "5ccf5aa0b5637ede25fc2b43a5414435fec9f97b9ace7da6ca348f90fc8bf7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10391",
    "kind": "arxiv",
    "version": 2
  }
}