Pith Number

pith:VRRLYN5C

pith:2002:VRRLYN5CTE7EVZKQGRYAJAMXRV

not attested not anchored not stored refs pending

Four-Zero Texture of Hermitian Quark Mass Matrices and Current Experimental Tests

Harald Fritzsch, Zhi-zhong Xing

arxiv:hep-ph/0212195 v1 · 2002-12-13 · 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{VRRLYN5CTE7EVZKQGRYAJAMXRV}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T04:34:56.468926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac62bc37a2993e4ae55034700481978d64f7066e72fdfe976d0171e75ec312ee

Aliases

arxiv: hep-ph/0212195 · arxiv_version: hep-ph/0212195v1 · doi: 10.48550/arxiv.hep-ph/0212195 · pith_short_12: VRRLYN5CTE7E · pith_short_16: VRRLYN5CTE7EVZKQ · pith_short_8: VRRLYN5C

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/VRRLYN5CTE7EVZKQGRYAJAMXRV \
  | 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: ac62bc37a2993e4ae55034700481978d64f7066e72fdfe976d0171e75ec312ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698df017804429664a893101f827001bce310114743b7d55f8545eb2e5b5845d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-13T16:41:04Z",
    "title_canon_sha256": "1ad6b22c477b4b717b72223d0fefd46f1cfefe11c031600c2eaad2da5648cbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212195",
    "kind": "arxiv",
    "version": 1
  }
}