Pith Number

pith:25KKK45Y

pith:2013:25KKK45YP6OQ7JMZPFQYGAE3FG

not attested not anchored not stored refs pending

3-3-1-1 model for dark matter

H. T. Hung, P. V. Dong, T. D. Tham

arxiv:1305.0369 v2 · 2013-05-02 · 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{25KKK45YP6OQ7JMZPFQYGAE3FG}

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	2026-05-18T03:21:54.652918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d754a573b87f9d0fa599796183009b29baf4247710d5114394be9ff09929c7eb

Aliases

arxiv: 1305.0369 · arxiv_version: 1305.0369v2 · doi: 10.48550/arxiv.1305.0369 · pith_short_12: 25KKK45YP6OQ · pith_short_16: 25KKK45YP6OQ7JMZ · pith_short_8: 25KKK45Y

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/25KKK45YP6OQ7JMZPFQYGAE3FG \
  | 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: d754a573b87f9d0fa599796183009b29baf4247710d5114394be9ff09929c7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d80fb3a08df58c146727f3abc3567810e84d42da3d6c165ae36b0ded8ae333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-05-02T08:40:33Z",
    "title_canon_sha256": "b03205bd12bcdf91a355a90c2402665123e0d14fa7b648097bd776958e62364c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0369",
    "kind": "arxiv",
    "version": 2
  }
}