Pith Number

pith:Z4IMMAVN

pith:2013:Z4IMMAVNHMIDZ4RTFGRD6G2S35

not attested not anchored not stored refs pending

Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry

Giuseppe Vitiello, Mairi Sakellariadou, Maria Vittoria Gargiulo

arxiv:1305.0659 v2 · 2013-05-03 · hep-th · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4IMMAVNHMIDZ4RTFGRD6G2S35}

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	2026-05-18T03:01:10.684982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf10c602ad3b103cf23329a23f1b52df773e2179422cf21da78a523cc5a31145

Aliases

arxiv: 1305.0659 · arxiv_version: 1305.0659v2 · doi: 10.48550/arxiv.1305.0659 · pith_short_12: Z4IMMAVNHMID · pith_short_16: Z4IMMAVNHMIDZ4RT · pith_short_8: Z4IMMAVN

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/Z4IMMAVNHMIDZ4RTFGRD6G2S35 \
  | 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: cf10c602ad3b103cf23329a23f1b52df773e2179422cf21da78a523cc5a31145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f721a28b984a406cee9dcd744b2447e22e3b43951de29d4f9e76638e87d7ab26",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-05-03T09:56:25Z",
    "title_canon_sha256": "5fbaa8dc6fc65321c22690584122efacba66fa3f822888022a7b441165dbcbd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0659",
    "kind": "arxiv",
    "version": 2
  }
}