Pith. sign in
Pith Number

pith:R2F4GUOE

pith:2015:R2F4GUOED7CKAB7MMMLR46E6PI
not attested not anchored not stored refs pending

The simplest 3-3-1 model

Le Duc Ninh, Le Tho Hue

arxiv:1510.00302 v2 · 2015-10-01 · hep-ph · hep-ex

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R2F4GUOED7CKAB7MMMLR46E6PI}

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 2026-05-18T01:18:09.428777Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e8bc351c41fc4a007ec63171e789e7a2a631bec591da809c5f0046ac2598247

Aliases

arxiv: 1510.00302 · arxiv_version: 1510.00302v2 · doi: 10.48550/arxiv.1510.00302 · pith_short_12: R2F4GUOED7CK · pith_short_16: R2F4GUOED7CKAB7M · pith_short_8: R2F4GUOE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R2F4GUOED7CKAB7MMMLR46E6PI \
  | 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: 8e8bc351c41fc4a007ec63171e789e7a2a631bec591da809c5f0046ac2598247
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "811c80d1509f8d8dd9bd016de5193d6b5d5d51d02276780c823279818eb5c970",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-10-01T16:32:00Z",
    "title_canon_sha256": "389c2d37f84504cb331d301b967341a5e15d4286ae64c4655fd38dc47b8fa205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00302",
    "kind": "arxiv",
    "version": 2
  }
}