{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ILH62VMJSZICKV7PK74GLTI4I6","short_pith_number":"pith:ILH62VMJ","schema_version":"1.0","canonical_sha256":"42cfed558996502557ef57f865cd1c47a084edfa2867ae1f194152f289eaf890","source":{"kind":"arxiv","id":"1212.1474","version":2},"attestation_state":"computed","paper":{"title":"Emerging understanding of the \\Delta I = 1/2 Rule from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"A. Soni, A. T. Lytle, C. Lehner, C. T. Sachrajda, D. Zhang (for the RBC Collaboration, E. J. Goode, for the UKQCD Collaboration), N. Garron, N. H. Christ, P. A. Boyle, Q. Liu, T. Janowski","submitted_at":"2012-12-06T21:16:31Z","abstract_excerpt":"There has been much speculation as to the origin of the \\Delta I = 1/2 rule (Re A_0/Re A_2 \\simeq 22.5). We find that the two dominant contributions to the \\Delta I=3/2, K \\to \\pi \\pi{} correlation functions have opposite signs leading to a significant cancellation. This partial cancellation occurs in our computation of Re A_2 with physical quark masses and kinematics (where we reproduce the experimental value of A_2) and also for heavier pions at threshold. For Re A_0, although we do not have results at physical kinematics, we do have results for pions at zero-momentum with m_\\pi{} \\simeq 420"},"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":"1212.1474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-12-06T21:16:31Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"718c2a2417dd02fcfba26d26f691d973e3aeb0b62378c6809786684c9a88aaba","abstract_canon_sha256":"6f425c8b6eb68e2330026c9a5aff420ce757009b6723f685d85ab7792c9fb561"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:53:44.994543Z","signature_b64":"9KTAk8YHqaRlPBKRLz5XMA2w0c/E2qDQ9G7uwkdP0lVtJcjdP+FfJe4JpTv/He5tqg1EQSbV6abJsAD3qFcbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42cfed558996502557ef57f865cd1c47a084edfa2867ae1f194152f289eaf890","last_reissued_at":"2026-07-04T23:53:44.994058Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:53:44.994058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emerging understanding of the \\Delta I = 1/2 Rule from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"A. Soni, A. T. Lytle, C. Lehner, C. T. Sachrajda, D. Zhang (for the RBC Collaboration, E. J. Goode, for the UKQCD Collaboration), N. Garron, N. H. Christ, P. A. Boyle, Q. Liu, T. Janowski","submitted_at":"2012-12-06T21:16:31Z","abstract_excerpt":"There has been much speculation as to the origin of the \\Delta I = 1/2 rule (Re A_0/Re A_2 \\simeq 22.5). We find that the two dominant contributions to the \\Delta I=3/2, K \\to \\pi \\pi{} correlation functions have opposite signs leading to a significant cancellation. This partial cancellation occurs in our computation of Re A_2 with physical quark masses and kinematics (where we reproduce the experimental value of A_2) and also for heavier pions at threshold. For Re A_0, although we do not have results at physical kinematics, we do have results for pions at zero-momentum with m_\\pi{} \\simeq 420"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1474","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1212.1474/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1212.1474","created_at":"2026-07-04T23:53:44.994116+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1474v2","created_at":"2026-07-04T23:53:44.994116+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1474","created_at":"2026-07-04T23:53:44.994116+00:00"},{"alias_kind":"pith_short_12","alias_value":"ILH62VMJSZIC","created_at":"2026-07-04T23:53:44.994116+00:00"},{"alias_kind":"pith_short_16","alias_value":"ILH62VMJSZICKV7P","created_at":"2026-07-04T23:53:44.994116+00:00"},{"alias_kind":"pith_short_8","alias_value":"ILH62VMJ","created_at":"2026-07-04T23:53:44.994116+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.26336","citing_title":"Isospin breaking corrections to a lattice QCD calculation of $\\varepsilon'$","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05306","citing_title":"Gauge field flow for chiral gauge theories on a slab","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6","json":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6.json","graph_json":"https://pith.science/api/pith-number/ILH62VMJSZICKV7PK74GLTI4I6/graph.json","events_json":"https://pith.science/api/pith-number/ILH62VMJSZICKV7PK74GLTI4I6/events.json","paper":"https://pith.science/paper/ILH62VMJ"},"agent_actions":{"view_html":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6","download_json":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6.json","view_paper":"https://pith.science/paper/ILH62VMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1474&json=true","fetch_graph":"https://pith.science/api/pith-number/ILH62VMJSZICKV7PK74GLTI4I6/graph.json","fetch_events":"https://pith.science/api/pith-number/ILH62VMJSZICKV7PK74GLTI4I6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6/action/storage_attestation","attest_author":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6/action/author_attestation","sign_citation":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6/action/citation_signature","submit_replication":"https://pith.science/pith/ILH62VMJSZICKV7PK74GLTI4I6/action/replication_record"}},"created_at":"2026-07-04T23:53:44.994116+00:00","updated_at":"2026-07-04T23:53:44.994116+00:00"}