Pith Number

pith:XUKKXQ32

pith:2004:XUKKXQ32QXUHQG44EIRIDE3GKA

not attested not anchored not stored refs pending

QLC relation and neutrino mass hierarchy

Javier Ferrandis, Sandip Pakvasa

arxiv:hep-ph/0412038 v2 · 2004-12-02 · 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{XUKKXQ32QXUHQG44EIRIDE3GKA}

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	2026-05-18T02:36:20.533020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd14abc37a85e8781b9c2222819366502d37e119be07f681a5c557519a6366b6

Aliases

arxiv: hep-ph/0412038 · arxiv_version: hep-ph/0412038v2 · doi: 10.48550/arxiv.hep-ph/0412038 · pith_short_12: XUKKXQ32QXUH · pith_short_16: XUKKXQ32QXUHQG44 · pith_short_8: XUKKXQ32

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/XUKKXQ32QXUHQG44EIRIDE3GKA \
  | 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: bd14abc37a85e8781b9c2222819366502d37e119be07f681a5c557519a6366b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a10c04920c05e9e20b61847a69b89efa2823470c97792e98cd8731ddd969418",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-12-02T20:27:25Z",
    "title_canon_sha256": "603c2ac8276da0527fd15f8f3efa9b8047702c1784ed1a8c0368a307bd0a65e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0412038",
    "kind": "arxiv",
    "version": 2
  }
}