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We use the w_0 parameter to fix the relative lattice spacing and f_pi to fix the overall scale. This allows us to obtain a value for f{K^+}/f{pi^+} = 1.1916(21). Comparing to the ratio of experimental leptonic decay rates gives |Vus| = 0.22564(28){Br(K^+)}(20){EM}(40){latt}(5){Vud} and the test of unitarity of the first row of the Cabibbo-Kobayashi-Maska"},"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":"1303.1670","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-03-07T12:56:09Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"68412162fa06df40ea0e1f9b2d102127c5534a91e2d8cc2995bb244d81917972","abstract_canon_sha256":"89d0302c2dcf58467014ae5955b5f4d349ef8122f17ba20df55e5ca2e1f8288b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:13.890250Z","signature_b64":"PjHvWxSdNgRzqSuNoDC3jr4A7DhGqqTpnxoXmFPSTtbDe6AwI1PqqzmvUpRTf+m4GROE8yNMNF4PeQ0fCGxEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48950ea5fd68f779b3cf9525045648c802986219a9d7bdbafd34da3068e81231","last_reissued_at":"2026-05-18T03:04:13.889753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:13.889753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"C. 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Comparing to the ratio of experimental leptonic decay rates gives |Vus| = 0.22564(28){Br(K^+)}(20){EM}(40){latt}(5){Vud} and the test of unitarity of the first row of the Cabibbo-Kobayashi-Maska"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1670","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1303.1670","created_at":"2026-05-18T03:04:13.889830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.1670v2","created_at":"2026-05-18T03:04:13.889830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1670","created_at":"2026-05-18T03:04:13.889830+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCKQ5JP5ND3X","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCKQ5JP5ND3XTM6P","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCKQ5JP5","created_at":"2026-05-18T12:27:49.015174+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2209.05289","citing_title":"Semileptonic weak Hamiltonian to $\\mathcal{O}(\\alpha \\alpha_s(\\mu_{\\mathrm{Lattice}}))$ in momentum-space subtraction schemes","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2508.02862","citing_title":"New high-precision $b$, $c$, and $s$ masses from pseudoscalar-pseudoscalar correlators in $n_f=4$ lattice QCD","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2411.04268","citing_title":"FLAG Review 2024","ref_index":42,"is_internal_anchor":true},{"citing_arxiv_id":"2603.01259","citing_title":"$T_{cc}$ pole trajectory","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2605.06560","citing_title":"$F_K/F_\\pi$ as a precision test of a new four flavor Domain Wall Fermion action","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22349","citing_title":"Hadronic contributions to $\\alpha(Q^{2})$ and $\\sin^{2}\\theta_{W}(Q^{2})$ from spectral reconstruction of lattice-QCD data","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00989","citing_title":"$CP$ violation in neutral kaon mixing in $D^0\\rightarrow K_SK_S$","ref_index":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA","json":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA.json","graph_json":"https://pith.science/api/pith-number/JCKQ5JP5ND3XTM6PSUSQIVSIZA/graph.json","events_json":"https://pith.science/api/pith-number/JCKQ5JP5ND3XTM6PSUSQIVSIZA/events.json","paper":"https://pith.science/paper/JCKQ5JP5"},"agent_actions":{"view_html":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA","download_json":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA.json","view_paper":"https://pith.science/paper/JCKQ5JP5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.1670&json=true","fetch_graph":"https://pith.science/api/pith-number/JCKQ5JP5ND3XTM6PSUSQIVSIZA/graph.json","fetch_events":"https://pith.science/api/pith-number/JCKQ5JP5ND3XTM6PSUSQIVSIZA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA/action/storage_attestation","attest_author":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA/action/author_attestation","sign_citation":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA/action/citation_signature","submit_replication":"https://pith.science/pith/JCKQ5JP5ND3XTM6PSUSQIVSIZA/action/replication_record"}},"created_at":"2026-05-18T03:04:13.889830+00:00","updated_at":"2026-05-18T03:04:13.889830+00:00"}