Pith Number

pith:WNATAUMU

pith:2003:WNATAUMUQWX7XSV4ODMCMLMUSK

not attested not anchored not stored refs pending

Some Simple Mixing and Mass Matrices for Neutrinos

A. Zee (UCSB), X.-G. He (NTU)

arxiv:hep-ph/0301092 v3 · 2003-01-14 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNATAUMUQWX7XSV4ODMCMLMUSK}

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

6 papers in Pith

Neutrino cuboid for normal mass ordering and tribimaximal flavor mixing

The Future of Lepton Flavor

Rolling Down the Leptonic BSM Landscape Using Machine Learning Techniques

Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation

Receipt and verification

First computed	2026-07-04T15:20:20.619270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b34130519485affbcabc70d8262d9492b4b9cd1df5f97cbeb40e8f0032964639

Aliases

arxiv: hep-ph/0301092 · arxiv_version: hep-ph/0301092v3 · doi: 10.48550/arxiv.hep-ph/0301092 · pith_short_12: WNATAUMUQWX7 · pith_short_16: WNATAUMUQWX7XSV4 · pith_short_8: WNATAUMU

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/WNATAUMUQWX7XSV4ODMCMLMUSK \
  | 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: b34130519485affbcabc70d8262d9492b4b9cd1df5f97cbeb40e8f0032964639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d3e6f85ff5869cfaac6dc1a49991a803a62f6c24581d8d0d573f99e364e916",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-01-14T09:26:12Z",
    "title_canon_sha256": "e91948caad173ee763e5e3dd3d0fbbac5a7241a240fd108343fc43014444f514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0301092",
    "kind": "arxiv",
    "version": 3
  }
}