Pith Number

pith:NIZ7TZ5T

pith:2010:NIZ7TZ5T7G6NLMM7LGIDCYY2KZ

not attested not anchored not stored refs pending

Form Invariance and Symmetry in the Neutrino Mass Matrix

E. I. Lashin, E. Malkawi, N. Chamoun, S. Nasri

arxiv:1008.4064 v1 · 2010-08-24 · 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{NIZ7TZ5T7G6NLMM7LGIDCYY2KZ}

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	2026-05-18T04:30:25.978249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a33f9e7b3f9bcd5b19f599031631a564fee2ecbb95566d4bc6cef7236b814ee

Aliases

arxiv: 1008.4064 · arxiv_version: 1008.4064v1 · doi: 10.48550/arxiv.1008.4064 · pith_short_12: NIZ7TZ5T7G6N · pith_short_16: NIZ7TZ5T7G6NLMM7 · pith_short_8: NIZ7TZ5T

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/NIZ7TZ5T7G6NLMM7LGIDCYY2KZ \
  | 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: 6a33f9e7b3f9bcd5b19f599031631a564fee2ecbb95566d4bc6cef7236b814ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579d1a1b96aebfc1cb56a22162bf232940f7dcd54d264ba084330a9e954455fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-08-24T15:14:32Z",
    "title_canon_sha256": "58a1695b8f602a12ca848021a6d7ff53d7cb0d5705ee2ca5906dc0d3ab9ae14f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4064",
    "kind": "arxiv",
    "version": 1
  }
}