Pith Number

pith:ODYP7PZ4

pith:2016:ODYP7PZ4SNVD7WIJEDBFAUGHHS

not attested not anchored not stored refs pending

Zeros in the magic neutrino mass matrix

Radha Raman Gautam, Sanjeev Kumar

arxiv:1607.08328 v3 · 2016-07-28 · 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{ODYP7PZ4SNVD7WIJEDBFAUGHHS}

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	2026-07-05T02:01:58.442691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f0ffbf3c936a3fd90920c25050c73ca37428f313de914e3c6750aef52d31be

Aliases

arxiv: 1607.08328 · arxiv_version: 1607.08328v3 · doi: 10.48550/arxiv.1607.08328 · pith_short_12: ODYP7PZ4SNVD · pith_short_16: ODYP7PZ4SNVD7WIJ · pith_short_8: ODYP7PZ4

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/ODYP7PZ4SNVD7WIJEDBFAUGHHS \
  | 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: 70f0ffbf3c936a3fd90920c25050c73ca37428f313de914e3c6750aef52d31be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7511a61d5ed778532bc12e450025b2ad8ac03c6db5025f72fa0af2b6e1059b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-07-28T06:40:20Z",
    "title_canon_sha256": "81777ac84993b3763d1383a9107cbcf883c8886f3f95ff84156c01a90624579b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08328",
    "kind": "arxiv",
    "version": 3
  }
}