Pith Number

pith:XZMMRXI4

pith:2016:XZMMRXI45RWDBIX4FTFXGMYDCU

not attested not anchored not stored refs pending

A 3-3-1 model with right-handed neutrinos based on the $\Delta\left(27\right)$ family symmetry

A. E. C\'arcamo Hern\'andez, H. N. Long, V. V. Vien

arxiv:1601.05062 v2 · 2016-01-19 · 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{XZMMRXI45RWDBIX4FTFXGMYDCU}

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	2026-05-18T01:12:30.150511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be58c8dd1cec6c30a2fc2ccb73330315219005764e102a42aea0f5d844d6427e

Aliases

arxiv: 1601.05062 · arxiv_version: 1601.05062v2 · doi: 10.48550/arxiv.1601.05062 · pith_short_12: XZMMRXI45RWD · pith_short_16: XZMMRXI45RWDBIX4 · pith_short_8: XZMMRXI4

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/XZMMRXI45RWDBIX4FTFXGMYDCU \
  | 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: be58c8dd1cec6c30a2fc2ccb73330315219005764e102a42aea0f5d844d6427e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1c72e6522711c5202a79b60eec9db944accf052e9c4fdee4ee12f83d4fd256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-01-19T20:17:23Z",
    "title_canon_sha256": "874d5adce8ba1a359ae87a04b5a932fc294936f2c5d5d3a47c46b294fc15000c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05062",
    "kind": "arxiv",
    "version": 2
  }
}