Pith Number

pith:Y2N6IHJV

pith:2012:Y2N6IHJVYBZXVKWRDLJC3QLVQP

not attested not anchored not stored refs pending

Neutrino Mixing Angles from Texture Zeros of the Lepton Mass Matrices

Harald Fritzsch, Shun Zhou

arxiv:1212.0411 v1 · 2012-12-03 · 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{Y2N6IHJVYBZXVKWRDLJC3QLVQP}

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	2026-05-18T03:34:49.783259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69be41d35c0737aaad11ad22dc17583ee56910550531b17e0feb86bcffe02e6

Aliases

arxiv: 1212.0411 · arxiv_version: 1212.0411v1 · doi: 10.48550/arxiv.1212.0411 · pith_short_12: Y2N6IHJVYBZX · pith_short_16: Y2N6IHJVYBZXVKWR · pith_short_8: Y2N6IHJV

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/Y2N6IHJVYBZXVKWRDLJC3QLVQP \
  | 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: c69be41d35c0737aaad11ad22dc17583ee56910550531b17e0feb86bcffe02e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85564300de3773f61d6de93ca3b6ebc61c30294656fc5551053107862143f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-12-03T15:04:16Z",
    "title_canon_sha256": "87b56f5e00397dd43544e0701c769d4f0d6a80302527e3cafea62886c7c9e0cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0411",
    "kind": "arxiv",
    "version": 1
  }
}