Pith Number

pith:NII7WMBW

pith:2011:NII7WMBWSOHHJHW7XAW2EDOCQV

not attested not anchored not stored refs pending

Renormalisation group improved leptogenesis in family symmetry models

Christoph Luhn, Iain K. Cooper, Stephen F. King

arxiv:1110.5676 v1 · 2011-10-25 · 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{NII7WMBWSOHHJHW7XAW2EDOCQV}

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	2026-05-18T03:50:50.451680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a11fb3036938e749edfb82da20dc2855e2d4ffeaa7671b03306255b574c5290

Aliases

arxiv: 1110.5676 · arxiv_version: 1110.5676v1 · doi: 10.48550/arxiv.1110.5676 · pith_short_12: NII7WMBWSOHH · pith_short_16: NII7WMBWSOHHJHW7 · pith_short_8: NII7WMBW

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/NII7WMBWSOHHJHW7XAW2EDOCQV \
  | 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: 6a11fb3036938e749edfb82da20dc2855e2d4ffeaa7671b03306255b574c5290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0221342070ad98d3a00100f681e92dcdab0f1b185693be6780efeca3498e9215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-10-25T22:07:44Z",
    "title_canon_sha256": "47a5c76e34641d42a0b236850f416ba61c4040e7c35cc8ad119407c2f7eae69d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5676",
    "kind": "arxiv",
    "version": 1
  }
}