Pith Number

pith:ZEYAFCB5

pith:2003:ZEYAFCB5XSWHPP5YAUKWAXH2MD

not attested not anchored not stored refs pending

Renormalization of the Cabibbo-Kobayashi-Maskawa Matrix at One-Loop Level

Yong Zhou

arxiv:hep-ph/0307249 v2 · 2003-07-21 · 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{ZEYAFCB5XSWHPP5YAUKWAXH2MD}

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	2026-05-18T01:06:13.412874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93002883dbcac77bfb80515605cfa60f31a298d121f1da0b51ca1a0e11bc45e

Aliases

arxiv: hep-ph/0307249 · arxiv_version: hep-ph/0307249v2 · doi: 10.48550/arxiv.hep-ph/0307249 · pith_short_12: ZEYAFCB5XSWH · pith_short_16: ZEYAFCB5XSWHPP5Y · pith_short_8: ZEYAFCB5

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/ZEYAFCB5XSWHPP5YAUKWAXH2MD \
  | 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: c93002883dbcac77bfb80515605cfa60f31a298d121f1da0b51ca1a0e11bc45e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790824d92b18d49d9fa3b1b5dab96c5b3aeaf381218eff065ae493f509c7421b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-21T01:52:03Z",
    "title_canon_sha256": "59fcf580b5fee8cc6eaa1c87788864a7fa394da4e4e0122594215f314cfa710c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307249",
    "kind": "arxiv",
    "version": 2
  }
}