Pith Number

pith:KDZLMJHR

pith:2003:KDZLMJHRIBHNQXQSYR5J5M256L

not attested not anchored not stored refs pending

Complete Parameter Space of Quark Mass Matrices with Four Texture Zeros

He Zhang, Zhi-zhong Xing

arxiv:hep-ph/0309112 v1 · 2003-09-10 · 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{KDZLMJHRIBHNQXQSYR5J5M256L}

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.

Cited by

3 papers in Pith

Perturbative determination of CP phase in CKM matrix using rephasing invariants of hierarchical mass matrices and their inverses

Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries

Rephasing invariant structure of CP phase for simplified mixing matrices in Fritzsch--Xing parametrization

Receipt and verification

First computed	2026-07-04T15:20:22.149009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f2b624f1404ed85e12c47a9eb35df2c66cffec220c2784ae9765c336f67548

Aliases

arxiv: hep-ph/0309112 · arxiv_version: hep-ph/0309112v1 · doi: 10.48550/arxiv.hep-ph/0309112 · pith_short_12: KDZLMJHRIBHN · pith_short_16: KDZLMJHRIBHNQXQS · pith_short_8: KDZLMJHR

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/KDZLMJHRIBHNQXQSYR5J5M256L \
  | 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: 50f2b624f1404ed85e12c47a9eb35df2c66cffec220c2784ae9765c336f67548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f884cb9911ae44b4df0eae516eddb17ee667df49c40f8b585076f16fbd00fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-09-10T14:26:35Z",
    "title_canon_sha256": "8dfabeff33dc034aa4c8c13f9a725b0cd065aeebf5d24e27d4416d01f55a5634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0309112",
    "kind": "arxiv",
    "version": 1
  }
}