Pith Number

pith:4FZD3NXN

pith:1994:4FZD3NXNMRPGKFVA7JIBK3XIB3

not attested not anchored not stored refs pending

Simple Non-Abelian Finite Flavor Groups and Fermion Masses

Paul H. Frampton, Thomas W. Kephart

arxiv:hep-ph/9409330 v1 · 1994-09-15 · 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{4FZD3NXNMRPGKFVA7JIBK3XIB3}

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

Flavor and CP Symmetries in the Standard Model Effective Field Theory

Receipt and verification

First computed	2026-05-18T04:31:42.675802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1723db6ed645e6516a0fa50156ee80ed6a79af3dc6a9a37e54d140e24809397

Aliases

arxiv: hep-ph/9409330 · arxiv_version: hep-ph/9409330v1 · doi: 10.48550/arxiv.hep-ph/9409330 · pith_short_12: 4FZD3NXNMRPG · pith_short_16: 4FZD3NXNMRPGKFVA · pith_short_8: 4FZD3NXN

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/4FZD3NXNMRPGKFVA7JIBK3XIB3 \
  | 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: e1723db6ed645e6516a0fa50156ee80ed6a79af3dc6a9a37e54d140e24809397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696f1ab69a8d25980c6b606f7cc0b9f5829ea5e0f087035f8efe6d11a275a0e5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-09-15T17:13:23Z",
    "title_canon_sha256": "e22bd8f8ada85dc0c8806a748c0ea9b70201ea622d7b6642a8d41a530b36de61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9409330",
    "kind": "arxiv",
    "version": 1
  }
}