Pith Number

pith:BMYIPKFY

pith:2004:BMYIPKFY4ZYRPXVIC5XA2XJLNE

not attested not anchored not stored refs pending

Physical renormalization condition for the quark-mixing matrix

A. Denner, E. Kraus, M. Roth

arxiv:hep-ph/0402130 v2 · 2004-02-12 · 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{BMYIPKFY4ZYRPXVIC5XA2XJLNE}

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

Low-energy effective field theory below the electroweak scale: matching at one loop

Receipt and verification

First computed	2026-07-04T15:20:23.124847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3087a8b8e67117dea8176e0d5d2b693e4f7fb436448520806dc32912d3bb1c

Aliases

arxiv: hep-ph/0402130 · arxiv_version: hep-ph/0402130v2 · doi: 10.48550/arxiv.hep-ph/0402130 · pith_short_12: BMYIPKFY4ZYR · pith_short_16: BMYIPKFY4ZYRPXVI · pith_short_8: BMYIPKFY

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/BMYIPKFY4ZYRPXVIC5XA2XJLNE \
  | 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: 0b3087a8b8e67117dea8176e0d5d2b693e4f7fb436448520806dc32912d3bb1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e208dd2b163d3682ecb72f7a6a3483bba2e814aaa2caf85a44cc7869b446bd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-02-12T09:24:50Z",
    "title_canon_sha256": "f07f9d705e176cd726b431bac3b43d641f8d41b367863aa9ba9e88ba29ff4af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0402130",
    "kind": "arxiv",
    "version": 2
  }
}