Pith Number

pith:G3HLUJYX

pith:2007:G3HLUJYXKBJLXZ4JXA3DJBNF6C

not attested not anchored not stored refs pending

The Flavor Group Delta(3n^2)

Christoph Luhn, Pierre Ramond, Salah Nasri

arxiv:hep-th/0701188 v3 · 2007-01-19 · hep-th · 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{G3HLUJYXKBJLXZ4JXA3DJBNF6C}

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

Phenomenological Study of Type II Seesaw with $\Delta(27)$ Symmetry

Receipt and verification

First computed	2026-07-04T15:22:11.481741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ceba27175052bbe789b8363485a5f0bec26711915028655e14ee6faa49d3cb

Aliases

arxiv: hep-th/0701188 · arxiv_version: hep-th/0701188v3 · doi: 10.48550/arxiv.hep-th/0701188 · pith_short_12: G3HLUJYXKBJL · pith_short_16: G3HLUJYXKBJLXZ4J · pith_short_8: G3HLUJYX

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/G3HLUJYXKBJLXZ4JXA3DJBNF6C \
  | 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: 36ceba27175052bbe789b8363485a5f0bec26711915028655e14ee6faa49d3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1fae26e769c7ff676f159729675276a91a170ada02e6a54f266a0caa043690",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-01-19T18:54:42Z",
    "title_canon_sha256": "557315e6c1105fd6d446cb7ea109eb7ddd85d7b27aea17be5aa58a29dd0646d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0701188",
    "kind": "arxiv",
    "version": 3
  }
}