Pith Number

pith:4K7HJYXP

pith:2013:4K7HJYXPKCUKWEFHJBVYTYUBGI

not attested not anchored not stored refs pending

One diagonal texture or cofactor zero of the neutrino mass matrix

Danny Marfatia, Jiajun Liao, Kerry Whisnant

arxiv:1306.4659 v2 · 2013-06-19 · 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{4K7HJYXPKCUKWEFHJBVYTYUBGI}

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	2026-05-18T03:15:05.734704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2be74e2ef50a8ab10a7486b89e2813203585b07607795ce59ae90348d4c5e6e

Aliases

arxiv: 1306.4659 · arxiv_version: 1306.4659v2 · doi: 10.48550/arxiv.1306.4659 · pith_short_12: 4K7HJYXPKCUK · pith_short_16: 4K7HJYXPKCUKWEFH · pith_short_8: 4K7HJYXP

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/4K7HJYXPKCUKWEFHJBVYTYUBGI \
  | 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: e2be74e2ef50a8ab10a7486b89e2813203585b07607795ce59ae90348d4c5e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b90dffb1def1c0e99216b822fefa8435836c1bdc4bf0b52df4b0b70a88494a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-06-19T19:38:27Z",
    "title_canon_sha256": "532a5d2ba26c2ca76461f065cd63323b6d4e29ac27d6772c97b4096ccf7f5e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4659",
    "kind": "arxiv",
    "version": 2
  }
}