Pith Number

pith:T3BFIU4V

pith:2014:T3BFIU4VRGJN2LCEVKJCE6XHF4

not attested not anchored not stored refs pending

Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons

Gui-Jun Ding, Stephen F. King, Thomas Neder

arxiv:1409.8005 v2 · 2014-09-29 · 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{T3BFIU4VRGJN2LCEVKJCE6XHF4}

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	2026-05-18T01:41:54.510919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec25453958992dd2c44aa92227ae72f3db7d100ea1cb205c01ed7d55f0536c4

Aliases

arxiv: 1409.8005 · arxiv_version: 1409.8005v2 · doi: 10.48550/arxiv.1409.8005 · pith_short_12: T3BFIU4VRGJN · pith_short_16: T3BFIU4VRGJN2LCE · pith_short_8: T3BFIU4V

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/T3BFIU4VRGJN2LCEVKJCE6XHF4 \
  | 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: 9ec25453958992dd2c44aa92227ae72f3db7d100ea1cb205c01ed7d55f0536c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7f4d2d724ef1a6b4955e2ccc7611979e4611bf4762a3c8ad62f3082602b1a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-09-29T06:53:53Z",
    "title_canon_sha256": "ba8e04afbcaae4974424547e333b665be043b703ae3a669ff6bebb904f779650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8005",
    "kind": "arxiv",
    "version": 2
  }
}