Pith Number

pith:BDK44WRK

pith:2003:BDK44WRKQY3DXTZN2UZQNHJKGE

not attested not anchored not stored refs pending

Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model

Alex G. Dias, C. A. de S. Pires, P. S. Rodrigues da Silva

arxiv:hep-ph/0309058 v1 · 2003-09-05 · 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{BDK44WRKQY3DXTZN2UZQNHJKGE}

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

Heavy neutral bosons and dark matter in the 3-3-1 model with axionlike particle

Receipt and verification

First computed	2026-07-04T15:26:43.695800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d5ce5a2a86363bcf2dd533069d2a311a3ba7d41a79412d74ba5aa1deb2a187

Aliases

arxiv: hep-ph/0309058 · arxiv_version: hep-ph/0309058v1 · doi: 10.48550/arxiv.hep-ph/0309058 · pith_short_12: BDK44WRKQY3D · pith_short_16: BDK44WRKQY3DXTZN · pith_short_8: BDK44WRK

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/BDK44WRKQY3DXTZN2UZQNHJKGE \
  | 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: 08d5ce5a2a86363bcf2dd533069d2a311a3ba7d41a79412d74ba5aa1deb2a187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01757deda64ea91c31a2e34096fd4a628025e26ea07760d7e19092194f820a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-09-05T21:17:28Z",
    "title_canon_sha256": "d405e54cc0e39e6ab98d314f4c784167c1b56cb5e7e226ad943bb59b5c72d97d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0309058",
    "kind": "arxiv",
    "version": 1
  }
}