Pith Number

pith:MRJN32YU

pith:2019:MRJN32YUMU6OCXRYAICOHHMTRC

not attested not anchored not stored refs pending

The symmetry of $4 \times 4$ mass matrices predicted by the spin-charge-family theory --- $SU(2) \times SU(2) \times U(1)$ --- remains in all loop corrections

A. Hernandez-Galeana, N.S. Mankoc Borstnik

arxiv:1902.02691 v1 · 2019-01-08 · 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{MRJN32YUMU6OCXRYAICOHHMTRC}

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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	2026-05-17T23:54:32.455784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6452ddeb14653ce15e380204e39d9388909bc52b7dfd3a7365790e0318a4017c

Aliases

arxiv: 1902.02691 · arxiv_version: 1902.02691v1 · doi: 10.48550/arxiv.1902.02691 · pith_short_12: MRJN32YUMU6O · pith_short_16: MRJN32YUMU6OCXRY · pith_short_8: MRJN32YU

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/MRJN32YUMU6OCXRYAICOHHMTRC \
  | 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: 6452ddeb14653ce15e380204e39d9388909bc52b7dfd3a7365790e0318a4017c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875edb66f7763c614ea338aad33faf0df12afa4978f7ecd6065d8f3c29ecea29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-01-08T12:43:03Z",
    "title_canon_sha256": "00560e81b9b4825120c7de0b62f8d304860043a8ff8e9bdf790a12d6b6cd4b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02691",
    "kind": "arxiv",
    "version": 1
  }
}