Pith Number

pith:75WUDX5I

pith:2015:75WUDX5ITMSI46QCAX7G6RVZ5P

not attested not anchored not stored refs pending

Non-Abelian family symmetries as portals to dark matter

Ivo de Medeiros Varzielas, Oliver Fischer

arxiv:1512.00869 v1 · 2015-12-02 · 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{75WUDX5ITMSI46QCAX7G6RVZ5P}

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	2026-05-18T01:18:39.519456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6d41dfa89b248e7a0205fe6f46b9ebcb287d490ceb580a943e088a6a3455c0

Aliases

arxiv: 1512.00869 · arxiv_version: 1512.00869v1 · doi: 10.48550/arxiv.1512.00869 · pith_short_12: 75WUDX5ITMSI · pith_short_16: 75WUDX5ITMSI46QC · pith_short_8: 75WUDX5I

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/75WUDX5ITMSI46QCAX7G6RVZ5P \
  | 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: ff6d41dfa89b248e7a0205fe6f46b9ebcb287d490ceb580a943e088a6a3455c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a6cea7d1b06d6dbdf82b32118abdd9ba9e74a37efe41d087d5e69f83dce7cc5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-12-02T21:11:18Z",
    "title_canon_sha256": "2141a6cbcb16b9826d8375ac60a6d55be011ea1f495aa0efc332e3d599dabb31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00869",
    "kind": "arxiv",
    "version": 1
  }
}