Pith Number

pith:SYX4HH3V

pith:2026:SYX4HH3VNEGHPGLMIN4ENMW7A2

not attested not anchored not stored refs pending

Zee models with a non-invertible $Z_M$ symmetry

Hiroshi Okada, Huiji Jin, Takaaki Nomura

arxiv:2605.23202 v1 · 2026-05-22 · 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{SYX4HH3VNEGHPGLMIN4ENMW7A2}

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	2026-05-25T02:01:43.430405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962fc39f75690c77996c437846b2df069d7beba980782009377604f7479902df

Aliases

arxiv: 2605.23202 · arxiv_version: 2605.23202v1 · doi: 10.48550/arxiv.2605.23202 · pith_short_12: SYX4HH3VNEGH · pith_short_16: SYX4HH3VNEGHPGLM · pith_short_8: SYX4HH3V

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/SYX4HH3VNEGHPGLMIN4ENMW7A2 \
  | 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: 962fc39f75690c77996c437846b2df069d7beba980782009377604f7479902df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d02ae6512c8204c56c063394b5ad2ff78e98e8ba0d8e3c90cd86cc963ec4a8b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-22T03:36:44Z",
    "title_canon_sha256": "86b1c689ecd6d0a1360d06c26a0a66d7107add2c0db33c4958930b8a0fcfb91c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23202",
    "kind": "arxiv",
    "version": 1
  }
}