Pith Number

pith:PQ4QYIXH

pith:1996:PQ4QYIXHJTYHKNLM6ENLZMQXWM

not attested not anchored not stored refs pending

Quark and Lepton Mass Matrices from Horizontal U(1) Symmetry

A. Lukas, E.J. Chun

arxiv:hep-ph/9605377 v2 · 1996-05-23 · 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{PQ4QYIXHJTYHKNLM6ENLZMQXWM}

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	2026-05-18T01:38:59.417145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c390c22e74cf075356cf11abcb217b31e50ee5d56d1e8b6dec6c293d4bd9dd6

Aliases

arxiv: hep-ph/9605377 · arxiv_version: hep-ph/9605377v2 · doi: 10.48550/arxiv.hep-ph/9605377 · pith_short_12: PQ4QYIXHJTYH · pith_short_16: PQ4QYIXHJTYHKNLM · pith_short_8: PQ4QYIXH

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/PQ4QYIXHJTYHKNLM6ENLZMQXWM \
  | 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: 7c390c22e74cf075356cf11abcb217b31e50ee5d56d1e8b6dec6c293d4bd9dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd358bef15e8d2841324b17113d45a2ac5e19094d7ff372b4d404bca60a85a7b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-05-23T05:09:05Z",
    "title_canon_sha256": "81ea383a2406a5f1b93509e122637ba024db6e725654542fabd0d9c6b8278295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9605377",
    "kind": "arxiv",
    "version": 2
  }
}