Pith Number

pith:QCENAFV3

pith:2005:QCENAFV3QAWRGG65NEGFTNSQAY

not attested not anchored not stored refs pending

Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification

Koichi Yoshioka, Naoyuki Haba

arxiv:hep-ph/0511108 v2 · 2005-11-09 · 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{QCENAFV3QAWRGG65NEGFTNSQAY}

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	2026-07-04T16:55:54.067735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8088d016bb802d131bdd690c59b65006269ea9382332056945ae6e07f492e192

Aliases

arxiv: hep-ph/0511108 · arxiv_version: hep-ph/0511108v2 · doi: 10.48550/arxiv.hep-ph/0511108 · pith_short_12: QCENAFV3QAWR · pith_short_16: QCENAFV3QAWRGG65 · pith_short_8: QCENAFV3

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/QCENAFV3QAWRGG65NEGFTNSQAY \
  | 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: 8088d016bb802d131bdd690c59b65006269ea9382332056945ae6e07f492e192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8672904af75ea917d4af8886742300e8de8c3692527f1de7954ebd94f3d501",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-11-09T09:07:03Z",
    "title_canon_sha256": "944465a5dbd1ae12970486961138798ee20a153e34aaff0a60c91d6c4d184fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0511108",
    "kind": "arxiv",
    "version": 2
  }
}