Pith Number

pith:DW66VZMQ

pith:1994:DW66VZMQW3HZMD7KMT7KFUPCY3

not attested not anchored not stored refs pending

Spontaneous Family Symmetry Breaking And Fermion Mixing

Zhijian Tao

arxiv:hep-ph/9412223 v1 · 1994-12-03 · 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{DW66VZMQW3HZMD7KMT7KFUPCY3}

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	2026-05-18T04:38:06.493175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbdeae590b6cf960fea64fea2d1e2c6f283a3acd4b7257dcb3a131298a99f89

Aliases

arxiv: hep-ph/9412223 · arxiv_version: hep-ph/9412223v1 · doi: 10.48550/arxiv.hep-ph/9412223 · pith_short_12: DW66VZMQW3HZ · pith_short_16: DW66VZMQW3HZMD7K · pith_short_8: DW66VZMQ

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/DW66VZMQW3HZMD7KMT7KFUPCY3 \
  | 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: 1dbdeae590b6cf960fea64fea2d1e2c6f283a3acd4b7257dcb3a131298a99f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd0fd0e2c57c383f9cad2261d2205eb13750a3cc52c4d9a28df292225bc55dd0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-12-03T20:08:22Z",
    "title_canon_sha256": "ad27f142745d40b85028f8c11eaac48176e3d8dd4473f8dfaaca10e6248d1f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9412223",
    "kind": "arxiv",
    "version": 1
  }
}