Pith Number

pith:4XUNGINF

pith:2011:4XUNGINFFZLGMZPIB6QKD67F6N

not attested not anchored not stored refs pending

Neutrino masses along with fermion mass hierarchy

Dilip Kumar Ghosh, R. S. Hundi

arxiv:1108.3428 v2 · 2011-08-17 · 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{4XUNGINFFZLGMZPIB6QKD67F6N}

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	2026-05-18T03:23:21.938461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e8d321a52e566665e80fa0a1fbe5f34add8b478b9c01387131f0f090b5d4ef

Aliases

arxiv: 1108.3428 · arxiv_version: 1108.3428v2 · doi: 10.48550/arxiv.1108.3428 · pith_short_12: 4XUNGINFFZLG · pith_short_16: 4XUNGINFFZLGMZPI · pith_short_8: 4XUNGINF

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/4XUNGINFFZLGMZPIB6QKD67F6N \
  | 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: e5e8d321a52e566665e80fa0a1fbe5f34add8b478b9c01387131f0f090b5d4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6054a7ac81d81fb4ab56c708d63f2fd5c0f49fcf9468c414d6b7733456e054db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-17T09:02:39Z",
    "title_canon_sha256": "2eeb12fcfd638b8de27f03b9fa5ae2d9202e046b84ab1fe7dc590b174b0005a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3428",
    "kind": "arxiv",
    "version": 2
  }
}