Pith Number

pith:X4DKWKJQ

pith:2011:X4DKWKJQRT4NBWRXEGQN5HLPO4

not attested not anchored not stored refs pending

The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry

Alessio Paris, Ferruccio Feruglio

arxiv:1101.0393 v3 · 2011-01-02 · 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{X4DKWKJQRT4NBWRXEGQN5HLPO4}

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

Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations

Receipt and verification

First computed	2026-05-18T02:23:05.783664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf06ab29308cf8d0da3721a0de9d6f773a733e8d30d86663d4732bd4ea31ad83

Aliases

arxiv: 1101.0393 · arxiv_version: 1101.0393v3 · doi: 10.48550/arxiv.1101.0393 · pith_short_12: X4DKWKJQRT4N · pith_short_16: X4DKWKJQRT4NBWRX · pith_short_8: X4DKWKJQ

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/X4DKWKJQRT4NBWRXEGQN5HLPO4 \
  | 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: bf06ab29308cf8d0da3721a0de9d6f773a733e8d30d86663d4732bd4ea31ad83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676743351165eb3d47db9689fdf62d4277124ba3f58ea284ab8553bbfe4661ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-01-02T09:31:12Z",
    "title_canon_sha256": "0a56dea56a46f254e57e2dce01ec13fe15370c5f12d7f7f84009555f577e66e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0393",
    "kind": "arxiv",
    "version": 3
  }
}