Pith Number

pith:ANIRPRN2

pith:2012:ANIRPRN2QJKWZNG7GZPFOKWHYD

not attested not anchored not stored refs pending

SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation

Yue-Liang Wu

arxiv:1203.2382 v2 · 2012-03-11 · 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{ANIRPRN2QJKWZNG7GZPFOKWHYD}

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

Family Unification in $SO(16)$ Grand Unification

Receipt and verification

First computed	2026-05-18T01:58:10.136878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035117c5ba82556cb4df365e572ac7c0c4c597bd2fb6479fe49ac58c907cfbe6

Aliases

arxiv: 1203.2382 · arxiv_version: 1203.2382v2 · doi: 10.48550/arxiv.1203.2382 · pith_short_12: ANIRPRN2QJKW · pith_short_16: ANIRPRN2QJKWZNG7 · pith_short_8: ANIRPRN2

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/ANIRPRN2QJKWZNG7GZPFOKWHYD \
  | 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: 035117c5ba82556cb4df365e572ac7c0c4c597bd2fb6479fe49ac58c907cfbe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c816a952c52fcd2e8098e76c9f93593b4e6f8e5a1f8d6980110d1386443db5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-03-11T22:53:51Z",
    "title_canon_sha256": "48985e3d63e229be9d33bb4a4b7cffbcbb04dba83540ca3b83c28d1276431dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2382",
    "kind": "arxiv",
    "version": 2
  }
}