Pith Number

pith:5Q532M6A

pith:2026:5Q532M6ANEIXPEV7AAOZITVRQG

not attested not anchored not stored refs pending

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

Cai-Chang Li, Gui-Jun Ding, Jun-Nan Lu, Ming-Hua Weng, Xiang-Yan Gao

arxiv:2606.24277 v1 · 2026-06-23 · 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{5Q532M6ANEIXPEV7AAOZITVRQG}

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	2026-06-24T01:14:48.782252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3bbd33c069117792bf001d944eb181aecc2cba4ea08b449bb203b1092387f0

Aliases

arxiv: 2606.24277 · arxiv_version: 2606.24277v1 · doi: 10.48550/arxiv.2606.24277 · pith_short_12: 5Q532M6ANEIX · pith_short_16: 5Q532M6ANEIXPEV7 · pith_short_8: 5Q532M6A

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/5Q532M6ANEIXPEV7AAOZITVRQG \
  | 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: ec3bbd33c069117792bf001d944eb181aecc2cba4ea08b449bb203b1092387f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0d6c97067139577e1dcc29dcea2950716f5145569ce54c4d9ee23bef92eba4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-23T08:00:26Z",
    "title_canon_sha256": "a4930cac9242da4e8bb85eed207c66fefb85c4552a32c8cbb3eaab44a8ca29a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24277",
    "kind": "arxiv",
    "version": 1
  }
}