Pith Number

pith:3MU27O5W

pith:2013:3MU27O5WD24OAXNQ7VWBA2TGEQ

not attested not anchored not stored refs pending

Majorana neutrino mass matrices with three texture zeros and the sterile neutrino

Yongchao Zhang

arxiv:1301.7302 v2 · 2013-01-30 · 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{3MU27O5WD24OAXNQ7VWBA2TGEQ}

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	2026-05-18T03:29:26.714778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db29afbbb61eb8e05db0fd6c106a66240c31bcea1d39692da654f97b0ffbb861

Aliases

arxiv: 1301.7302 · arxiv_version: 1301.7302v2 · doi: 10.48550/arxiv.1301.7302 · pith_short_12: 3MU27O5WD24O · pith_short_16: 3MU27O5WD24OAXNQ · pith_short_8: 3MU27O5W

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/3MU27O5WD24OAXNQ7VWBA2TGEQ \
  | 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: db29afbbb61eb8e05db0fd6c106a66240c31bcea1d39692da654f97b0ffbb861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f6407f4af4e3e7432d02de1377f996be279cae59f893d4e0dfb3810e3d6dba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-01-30T17:35:06Z",
    "title_canon_sha256": "fa676c508dd2fb44cb9713cba581771fbb7c07c8f068b5e93ec50a8394ccb6b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7302",
    "kind": "arxiv",
    "version": 2
  }
}