Pith Number

pith:NB4UNEI7

pith:2004:NB4UNEI77CEA5XN5UL4EUXZWIU

not attested not anchored not stored refs pending

A Systematic Study of Neutrino Mixing and CP Violation from Lepton Mass Matrices with Six Texture Zeros

Shun Zhou, Zhi-zhong Xing

arxiv:hep-ph/0404188 v2 · 2004-04-22 · 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{NB4UNEI77CEA5XN5UL4EUXZWIU}

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	2026-05-18T04:13:36.232142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687946911ff8880eddbda2f84a5f36451198fdaf94ab143cd3f196b694bc1485

Aliases

arxiv: hep-ph/0404188 · arxiv_version: hep-ph/0404188v2 · doi: 10.48550/arxiv.hep-ph/0404188 · pith_short_12: NB4UNEI77CEA · pith_short_16: NB4UNEI77CEA5XN5 · pith_short_8: NB4UNEI7

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/NB4UNEI77CEA5XN5UL4EUXZWIU \
  | 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: 687946911ff8880eddbda2f84a5f36451198fdaf94ab143cd3f196b694bc1485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f01a91a8a38793a95e7a610c9e5d946e885b7f194ad02934a802d2c5ec7fd3ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-04-22T07:15:27Z",
    "title_canon_sha256": "efefc15d28f36f568da886a0350eaca93d0f226e61eae46dacd721290fc0b0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0404188",
    "kind": "arxiv",
    "version": 2
  }
}