Pith Number

pith:IEV5N7EV

pith:2003:IEV5N7EVZJDHRPS7RSRWJ6WNAL

not attested not anchored not stored refs pending

Is the Zee model neutrino mass matrix ruled out?

NTU), Xiao-Gang He (Nankai

arxiv:hep-ph/0307172 v2 · 2003-07-14 · 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{IEV5N7EVZJDHRPS7RSRWJ6WNAL}

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

1 paper in Pith

Zee models with a non-invertible $Z_M$ symmetry

Receipt and verification

First computed	2026-05-18T02:36:30.600250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412bd6fc95ca4678be5f8ca364facd02c257f673f464fc2a0e306fa616448d39

Aliases

arxiv: hep-ph/0307172 · arxiv_version: hep-ph/0307172v2 · doi: 10.48550/arxiv.hep-ph/0307172 · pith_short_12: IEV5N7EVZJDH · pith_short_16: IEV5N7EVZJDHRPS7 · pith_short_8: IEV5N7EV

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/IEV5N7EVZJDHRPS7RSRWJ6WNAL \
  | 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: 412bd6fc95ca4678be5f8ca364facd02c257f673f464fc2a0e306fa616448d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2a53ffa12ae667f1f89305d7e4d3eb7b80b9f25dc02870461dae68df866cc5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-14T06:41:30Z",
    "title_canon_sha256": "e5ff08c8a4b2acef420181cfeab1e6e4d4bd1d93db772e78e2684583beb7a7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307172",
    "kind": "arxiv",
    "version": 2
  }
}