Pith Number

pith:3ULHXRHQ

pith:2019:3ULHXRHQBYTSWCSYT3ZUKJPCXA

not attested not anchored not stored refs pending

A modular $A_4$ symmetric model of dark matter and neutrino

Hiroshi Okada, Takaaki Nomura

arxiv:1904.03937 v2 · 2019-04-08 · 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{3ULHXRHQBYTSWCSYT3ZUKJPCXA}

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	2026-07-04T23:51:41.227502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd167bc4f00e272b0a589ef34525e2b80dd85816262350107aa4501d3c4efb04

Aliases

arxiv: 1904.03937 · arxiv_version: 1904.03937v2 · doi: 10.48550/arxiv.1904.03937 · pith_short_12: 3ULHXRHQBYTS · pith_short_16: 3ULHXRHQBYTSWCSY · pith_short_8: 3ULHXRHQ

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/3ULHXRHQBYTSWCSYT3ZUKJPCXA \
  | 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: dd167bc4f00e272b0a589ef34525e2b80dd85816262350107aa4501d3c4efb04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb79beaecfb174a6ecd8da85945af3ec532ad8b80908ddfb698fac052cc87cc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-04-08T10:34:35Z",
    "title_canon_sha256": "ad1b2b08fda5a41cd70cbd045115d2f33d7a6dd548799fe72daf0475d3502369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03937",
    "kind": "arxiv",
    "version": 2
  }
}