Pith Number

pith:OMHE4XL2

pith:2011:OMHE4XL2NXTGQKMZBEDP5WMQDX

not attested not anchored not stored refs pending

A Model of Fermion Masses and Flavor Mixings with Family Symmetry $SU(3)\otimes U(1)$

Jin-Jin Zhong, Qi Wang, Wei-Min Yang

arxiv:1108.4512 v2 · 2011-08-23 · 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{OMHE4XL2NXTGQKMZBEDP5WMQDX}

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 $SO(16)$ Grand Unification

Receipt and verification

First computed	2026-05-18T02:00:49.410416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

730e4e5d7a6de66829990906fed9901dda6fc8f44760b6e1a7159f191d064e8f

Aliases

arxiv: 1108.4512 · arxiv_version: 1108.4512v2 · doi: 10.48550/arxiv.1108.4512 · pith_short_12: OMHE4XL2NXTG · pith_short_16: OMHE4XL2NXTGQKMZ · pith_short_8: OMHE4XL2

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/OMHE4XL2NXTGQKMZBEDP5WMQDX \
  | 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: 730e4e5d7a6de66829990906fed9901dda6fc8f44760b6e1a7159f191d064e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8cdee303e6425b243e58bfaad95a0770dec54c0d8e0f4bc00c6f23dd965160d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-23T07:43:24Z",
    "title_canon_sha256": "6eb82cbef7f8241b2e1622046158bb2cad280b0968d9b899dcbf88a1f599619c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4512",
    "kind": "arxiv",
    "version": 2
  }
}