Pith Number

pith:3XKB2BAF

pith:2012:3XKB2BAFW4Q3DKEVPJIIMAEY7Z

not attested not anchored not stored refs pending

An explicit SU(12) family and flavor unification model with natural fermion masses and mixings

Carl H. Albright, Robert P. Feger, Thomas W. Kephart

arxiv:1204.5471 v1 · 2012-04-24 · 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{3XKB2BAFW4Q3DKEVPJIIMAEY7Z}

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.

Cited by

1 paper in Pith

Family Unification in a Six Dimensional Theory with an Orthogonal Gauge Group

Receipt and verification

First computed	2026-05-18T03:22:41.856489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd41d0405b721b1a8957a50860098fe7a46a1e23c97d3a9e526456868efc582

Aliases

arxiv: 1204.5471 · arxiv_version: 1204.5471v1 · doi: 10.48550/arxiv.1204.5471 · pith_short_12: 3XKB2BAFW4Q3 · pith_short_16: 3XKB2BAFW4Q3DKEV · pith_short_8: 3XKB2BAF

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/3XKB2BAFW4Q3DKEVPJIIMAEY7Z \
  | 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: ddd41d0405b721b1a8957a50860098fe7a46a1e23c97d3a9e526456868efc582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212c74d4035d3183dce8861e27b00f9eb3ce2362928ed805eb299baffeb86437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-04-24T19:59:01Z",
    "title_canon_sha256": "94983224d7b5a3f04da8dc498f25260e0b8def38249600aedfe38c8fa3e5b9b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5471",
    "kind": "arxiv",
    "version": 1
  }
}