Pith Number

pith:SXPDZ22P

pith:2010:SXPDZ22PCDMLUNPPJPLNGB3ESS

not attested not anchored not stored refs pending

Deviations from Tri-Bimaximality and Quark-Lepton Complementarity

Ryo Takahashi, Yusuke Shimizu

arxiv:1009.5504 v4 · 2010-09-28 · 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{SXPDZ22PCDMLUNPPJPLNGB3ESS}

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	2026-05-18T04:23:13.131538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95de3ceb4f10d8ba35ef4bd6d30764949795a86db62540e2b5d5dc528da206d5

Aliases

arxiv: 1009.5504 · arxiv_version: 1009.5504v4 · doi: 10.48550/arxiv.1009.5504 · pith_short_12: SXPDZ22PCDML · pith_short_16: SXPDZ22PCDMLUNPP · pith_short_8: SXPDZ22P

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/SXPDZ22PCDMLUNPPJPLNGB3ESS \
  | 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: 95de3ceb4f10d8ba35ef4bd6d30764949795a86db62540e2b5d5dc528da206d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fcaa632a1bc05fd5abb92da68428c2a572a7d0e5cb043b5f5498c5bcb752644",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-09-28T09:44:06Z",
    "title_canon_sha256": "e97be879f57a87f39dd394a2d8776499ae40751047d2035610501d5824d33e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5504",
    "kind": "arxiv",
    "version": 4
  }
}