Pith Number

pith:CBTY57HL

pith:2003:CBTY57HL6WGME76F4VZO255K4V

not attested not anchored not stored refs pending

Spontaneous breaking of the lepton number and invisible majoron in a 3-3-1 model

C. A de S. Pires, P. S. Rodrigues da Silva

arxiv:hep-ph/0307253 v2 · 2003-07-20 · 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{CBTY57HL6WGME76F4VZO255K4V}

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	2026-05-18T04:28:10.366635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10678efcebf58cc27fc5e572ed77aae541a83ebe0ada8ce51f7d94a108daed31

Aliases

arxiv: hep-ph/0307253 · arxiv_version: hep-ph/0307253v2 · doi: 10.48550/arxiv.hep-ph/0307253 · pith_short_12: CBTY57HL6WGM · pith_short_16: CBTY57HL6WGME76F · pith_short_8: CBTY57HL

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/CBTY57HL6WGME76F4VZO255K4V \
  | 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: 10678efcebf58cc27fc5e572ed77aae541a83ebe0ada8ce51f7d94a108daed31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fab9ad1bbd0f2c8d63737044f61a619869ce2ac5eebe2525bd754041bbf278",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-20T13:01:37Z",
    "title_canon_sha256": "decbe3ef7b544174608ba631de96921cd5ab04a8d1644a2009a6c17b474c0832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307253",
    "kind": "arxiv",
    "version": 2
  }
}