Pith Number

pith:NJUGGWL4

pith:2011:NJUGGWL4I74ECZP6VRBBTIPGPV

not attested not anchored not stored refs pending

The S_3 flavor symmetry in 3-3-1 models

C. H. Nam, H. N. Long, P. V. Dong, V. V. Vien

arxiv:1111.6360 v1 · 2011-11-28 · 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{NJUGGWL4I74ECZP6VRBBTIPGPV}

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	2026-05-18T04:00:49.143133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a6863597c47f84165feac4219a1e67d68a8c01c752d1f798b16baecb0bc33bc

Aliases

arxiv: 1111.6360 · arxiv_version: 1111.6360v1 · doi: 10.48550/arxiv.1111.6360 · pith_short_12: NJUGGWL4I74E · pith_short_16: NJUGGWL4I74ECZP6 · pith_short_8: NJUGGWL4

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/NJUGGWL4I74ECZP6VRBBTIPGPV \
  | 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: 6a6863597c47f84165feac4219a1e67d68a8c01c752d1f798b16baecb0bc33bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0e6b31076761ff88cdc636b16827aa32866aabbc45a57f18e774046933e24b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-11-28T07:56:38Z",
    "title_canon_sha256": "d49dd64716de69976079593febfc2ebd4d4a00d0c06b4ecc6c8622502baa0478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6360",
    "kind": "arxiv",
    "version": 1
  }
}