Pith Number

pith:CQ3A5YEJ

pith:2018:CQ3A5YEJV2IFM7RYVOYA3ANPCK

not attested not anchored not stored refs pending

Finite modular subgroups for fermion mass matrices and baryon/lepton number violation

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

arxiv:1812.11072 v3 · 2018-12-23 · 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{CQ3A5YEJV2IFM7RYVOYA3ANPCK}

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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

More about modular symmetries and non-invertible properties in magnetized compactifications

Receipt and verification

First computed	2026-05-17T23:42:58.540275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14360ee089ae90567e38abb00d81af12b7f497c56e776e1a6a521c98f077485a

Aliases

arxiv: 1812.11072 · arxiv_version: 1812.11072v3 · doi: 10.48550/arxiv.1812.11072 · pith_short_12: CQ3A5YEJV2IF · pith_short_16: CQ3A5YEJV2IFM7RY · pith_short_8: CQ3A5YEJ

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/CQ3A5YEJV2IFM7RYVOYA3ANPCK \
  | 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: 14360ee089ae90567e38abb00d81af12b7f497c56e776e1a6a521c98f077485a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797208ff885342ce89faa34eb3955b31be38881a2a4c525712d194e64f7f9c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-23T08:38:32Z",
    "title_canon_sha256": "082ce85e0feaf5d517aa133ce7297c75e4b9710fd99278278dec8ace11188fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11072",
    "kind": "arxiv",
    "version": 3
  }
}