Pith Number

pith:3JGNHM52

pith:2023:3JGNHM526Z7CLWYRUJ5UJWJOR5

not attested not anchored not stored refs pending

Gauged $L_e-L_{\mu}-L_{\tau}$ symmetry, fourth generation, neutrino mass and dark matter

(2) University of Maryland), Narendra Sahu (1) ((1) Indian Institute of Technology Hyderabad, Rabindra N. Mohapatra (2), Satyabrata Mahapatra (1)

arxiv:2302.01784 v3 · 2023-02-03 · hep-ph · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JGNHM526Z7CLWYRUJ5UJWJOR5}

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	2026-07-05T06:32:05.612593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4cd3b3baf67e25db11a27b44d92e8f587a7eda211194fbd50eb13ff28e199b

Aliases

arxiv: 2302.01784 · arxiv_version: 2302.01784v3 · doi: 10.48550/arxiv.2302.01784 · pith_short_12: 3JGNHM526Z7C · pith_short_16: 3JGNHM526Z7CLWYR · pith_short_8: 3JGNHM52

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/3JGNHM526Z7CLWYRUJ5UJWJOR5 \
  | 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: da4cd3b3baf67e25db11a27b44d92e8f587a7eda211194fbd50eb13ff28e199b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a3382e00496ffc3c590b3c17f8fee8e0bcab29fde1be7977660be0a0c93fc3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-02-03T14:42:49Z",
    "title_canon_sha256": "aeed3f9a40af0f73263c286ce834a13e6069cc894b8c3ef52996703aaabc8a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.01784",
    "kind": "arxiv",
    "version": 3
  }
}