Pith Number

pith:45V2GBUZ

pith:2012:45V2GBUZ6UDKYBALE5DC4TPWHJ

not attested not anchored not stored refs pending

Simplest Neutrino Mixing from S4 Symmetry

P. F. Harrison, R. Krishnan, W. G. Scott

arxiv:1211.2000 v2 · 2012-11-08 · 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{45V2GBUZ6UDKYBALE5DC4TPWHJ}

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	2026-05-18T03:17:14.720799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76ba30699f506ac040b27462e4df63a6e732411ac374c50e4e7c847cfe24984

Aliases

arxiv: 1211.2000 · arxiv_version: 1211.2000v2 · doi: 10.48550/arxiv.1211.2000 · pith_short_12: 45V2GBUZ6UDK · pith_short_16: 45V2GBUZ6UDKYBAL · pith_short_8: 45V2GBUZ

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/45V2GBUZ6UDKYBALE5DC4TPWHJ \
  | 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: e76ba30699f506ac040b27462e4df63a6e732411ac374c50e4e7c847cfe24984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edcbd3f83bddade5ad3f8114cb8ad34f17b9afb7dec81b7c8fe7dbb510b27d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-11-08T21:54:28Z",
    "title_canon_sha256": "191f639f40356945258b08cd671b357f3df1c51435d2ac9390cd250add268a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2000",
    "kind": "arxiv",
    "version": 2
  }
}