Pith Number

pith:A5JMDV4Q

pith:2011:A5JMDV4QP7XUQZPEGIU4SMTC7D

not attested not anchored not stored refs pending

Implications of a class of neutrino mass matrices with texture zeros for non-zero $\theta_{13}$

Sanjeev Kumar

arxiv:1108.2137 v2 · 2011-08-10 · 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{A5JMDV4QP7XUQZPEGIU4SMTC7D}

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	2026-05-18T02:00:55.745525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0752c1d7907fef4865e43229c93262f8d0bffa9f176e31888291924c0163b9ae

Aliases

arxiv: 1108.2137 · arxiv_version: 1108.2137v2 · doi: 10.48550/arxiv.1108.2137 · pith_short_12: A5JMDV4QP7XU · pith_short_16: A5JMDV4QP7XUQZPE · pith_short_8: A5JMDV4Q

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/A5JMDV4QP7XUQZPEGIU4SMTC7D \
  | 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: 0752c1d7907fef4865e43229c93262f8d0bffa9f176e31888291924c0163b9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42186d6024b9d21969bb2498cb65d5954c1278f51d63291c1432eb5c762dfae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-10T10:01:05Z",
    "title_canon_sha256": "c80a0096237138a74f529f650f0a557fd3502fcd3ea1fc328a9d4464ba3239f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2137",
    "kind": "arxiv",
    "version": 2
  }
}