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Simulations are made with a renormalization group improved gauge action at $\\beta=2.6$ and 2.9 corresponding to $a^{-1}\\approx 2$GeV and 3GeV. Effects due to finite fifth dimensional size $N_5$ and finite spatial size $N_\\sigma$ are examined in detail. Matching to the continuum operator is made perturbatively at one loop order. We obtain $B_K(\\mu = 2 GeV)= 0.5746(61)(191)$, where the first error is statistical and the second error represents an estimate of scaling violation and ${\\cal O}(\\alpha^2)$ errors in t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-lat/0105020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-05-18T09:16:25Z","cross_cats_sorted":[],"title_canon_sha256":"31784d70bbfca2ef595e4b45cfe31ea3ed1639a43b06f4e53449e94e2541dbee","abstract_canon_sha256":"ea621a71f6aa66ec401ff1f689b3ad0fe25232a91ab267a8cd78035cae41e3ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:47:20.534462Z","signature_b64":"N/xxHctAKapqIpILyDApTSNBpMA49ZEyVz8HLb1UMBzrqFATPNB8TM2ONbaeQ4XYjJ5KVcsWZEUUtClP0PK8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"019783b33892aeb53b9249b5e1e6e5ece7718816709d2df5c1c17e6d83df4c5f","last_reissued_at":"2026-05-18T03:47:20.533983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:47:20.533983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kaon B parameter from quenched domain-wall QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. 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