Pith Number

pith:FD4UCTZG

pith:2007:FD4UCTZGK5BS3YL5P2TV6A6XGY

not attested not anchored not stored refs pending

Dirac neutrinos and anomaly-free discrete gauge symmetries

Christoph Luhn, Marc Thormeier

arxiv:0711.0756 v3 · 2007-11-05 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD4UCTZGK5BS3YL5P2TV6A6XGY}

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	2026-05-18T03:00:01.472658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f9414f2657432de17d7ea75f03d73603aa6f09012573f0f2ce3c3b21953956

Aliases

arxiv: 0711.0756 · arxiv_version: 0711.0756v3 · doi: 10.48550/arxiv.0711.0756 · pith_short_12: FD4UCTZGK5BS · pith_short_16: FD4UCTZGK5BS3YL5 · pith_short_8: FD4UCTZG

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/FD4UCTZGK5BS3YL5P2TV6A6XGY \
  | 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: 28f9414f2657432de17d7ea75f03d73603aa6f09012573f0f2ce3c3b21953956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d15f8a37a5979411e5853213ae90941ae202b433f7087d3930c4b713707d040d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-11-05T21:31:07Z",
    "title_canon_sha256": "4f82b8114fb99d42008577f87c72dbda7f4c6eec1585510ba5407538536060b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0756",
    "kind": "arxiv",
    "version": 3
  }
}