Pith Number

pith:BI63MI3L

pith:2010:BI63MI3LQW6DI5S5EUJYSJ63WQ

not attested not anchored not stored refs pending

Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns

Deshan Yang, Shun Zhou, Zhi-zhong Xing

arxiv:1004.4234 v2 · 2010-04-23 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BI63MI3LQW6DI5S5EUJYSJ63WQ}

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	2026-05-18T02:33:33.583952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a3db6236b85bc34765d25138927dbb413bc24480e9a0f0c5db25698f19ab029

Aliases

arxiv: 1004.4234 · arxiv_version: 1004.4234v2 · doi: 10.48550/arxiv.1004.4234 · pith_short_12: BI63MI3LQW6D · pith_short_16: BI63MI3LQW6DI5S5 · pith_short_8: BI63MI3L

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/BI63MI3LQW6DI5S5EUJYSJ63WQ \
  | 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: 0a3db6236b85bc34765d25138927dbb413bc24480e9a0f0c5db25698f19ab029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb9cfcb53031cf7e4649f5bd21bd9ea8fdf172bd4f0e80b35091cf559402587",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-04-23T22:29:30Z",
    "title_canon_sha256": "d9dd2df158d28fccdb98c27977855fc9272afcced7f3e0839a1f834944f70961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4234",
    "kind": "arxiv",
    "version": 2
  }
}