Pith Number

pith:RLDCBU6K

pith:2021:RLDCBU6K3IE5A7JJRSBFKC5MTX

not attested not anchored not stored refs pending

Zee-Babu model in modular $A_4$ symmetry

Hiroshi Okada, Yong-Hui Qi

arxiv:2109.13779 v2 · 2021-09-28 · 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{RLDCBU6K3IE5A7JJRSBFKC5MTX}

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.

Receipt and verification

First computed	2026-07-05T03:48:30.667586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac620d3cada09d07d298c82550bac9df55d7f2818bcf1a761a460b4975290f5

Aliases

arxiv: 2109.13779 · arxiv_version: 2109.13779v2 · doi: 10.48550/arxiv.2109.13779 · pith_short_12: RLDCBU6K3IE5 · pith_short_16: RLDCBU6K3IE5A7JJ · pith_short_8: RLDCBU6K

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/RLDCBU6K3IE5A7JJRSBFKC5MTX \
  | 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: 8ac620d3cada09d07d298c82550bac9df55d7f2818bcf1a761a460b4975290f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9431b3b11026bd864dd61e50aa3990270c8ce62f43038fdadaffe00fadd0b1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-09-28T14:58:10Z",
    "title_canon_sha256": "f928caba1342f6715a00b2a07cb35b9fb287c0a5cd54a8c528b4f059d4a36c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13779",
    "kind": "arxiv",
    "version": 2
  }
}