Pith Number

pith:PBU5UBSM

pith:2014:PBU5UBSMVQOQQRLDTGFWRQOUCE

not attested not anchored not stored refs pending

Residual Z2 x Z2 symmetries and lepton mixing

Luis Lavoura, Patrick Otto Ludl

arxiv:1401.5036 v1 · 2014-01-20 · 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{PBU5UBSMVQOQQRLDTGFWRQOUCE}

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	2026-05-18T01:45:18.836607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7869da064cac1d084563998b68c1d4113f74ee29ee3386fd7000975ec985468d

Aliases

arxiv: 1401.5036 · arxiv_version: 1401.5036v1 · doi: 10.48550/arxiv.1401.5036 · pith_short_12: PBU5UBSMVQOQ · pith_short_16: PBU5UBSMVQOQQRLD · pith_short_8: PBU5UBSM

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/PBU5UBSMVQOQQRLDTGFWRQOUCE \
  | 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: 7869da064cac1d084563998b68c1d4113f74ee29ee3386fd7000975ec985468d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6c72d37a6ee73e831ed3314b8f7a930b517c993ef16b2cb808fdb945c209c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-01-20T20:00:52Z",
    "title_canon_sha256": "d210658d83e6d909babaa1b543d6ed21e2c7673630d0d745cafa03346ab9189b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5036",
    "kind": "arxiv",
    "version": 1
  }
}