Pith Number

pith:D4RB5BP5

pith:2012:D4RB5BP5NPKPZVLYL6XKZNDGPW

not attested not anchored not stored refs pending

The (Z_2)^3 symmetry of the non-tri-bimaximal pattern for the neutrino mass matrix

Bonn U.), Cairo, E. I. Lashin (Ain Shams U., Giza, Giza), ICTP, M. Abbas (Ain Shams U., N. Chamoun (HIAST, S. Nasri (United Arab Emirates U.), Trieste), Zewail City Sci. Technol.

arxiv:1206.4754 v2 · 2012-06-21 · 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{D4RB5BP5NPKPZVLYL6XKZNDGPW}

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	2026-05-18T03:22:39.972394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f221e85fd6bd4fcd5785faeacb4667d93d85d64711eb91abc7d52d14ae11f03

Aliases

arxiv: 1206.4754 · arxiv_version: 1206.4754v2 · doi: 10.48550/arxiv.1206.4754 · pith_short_12: D4RB5BP5NPKP · pith_short_16: D4RB5BP5NPKPZVLY · pith_short_8: D4RB5BP5

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/D4RB5BP5NPKPZVLYL6XKZNDGPW \
  | 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: 1f221e85fd6bd4fcd5785faeacb4667d93d85d64711eb91abc7d52d14ae11f03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2a950129fa8dde46a4ee228a248beca016282448a29a24427632a80cacf705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-21T01:19:19Z",
    "title_canon_sha256": "6cf8a96e6b606fb4e54a673bb9b278a5c4760653a8194e0a9792c7306419895f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4754",
    "kind": "arxiv",
    "version": 2
  }
}