{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:AB7CASACQY373JYWS5ROP7UXFZ","short_pith_number":"pith:AB7CASAC","schema_version":"1.0","canonical_sha256":"007e2048028637fda7169762e7fe972e73d5234ff192d77cd0d92ef9963aaab7","source":{"kind":"arxiv","id":"1010.3768","version":1},"attestation_state":"computed","paper":{"title":"Preliminary results of $\\Delta I=1/2$ and $3/2$, $K$ to $\\pi\\pi$ Decay Amplitudes from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Qi Liu, RBC, UKQCD Collaborations","submitted_at":"2010-10-19T01:06:17Z","abstract_excerpt":"We report a direct lattice calculation of the $K$ to $\\pi\\pi$ decay matrix elements for both $\\Delta I=1/2$ and $3/2$ channels on 2+1 flavor, domain wall fermion, $16^3\\times32$ lattices with zero $\\pi\\pi$ relative momentum and $m_\\pi=420$ MeV. All $K^0$ to $\\pi\\pi$ contractions are carefully listed and calculated. The decay into the isospin zero $\\pi\\pi$ final state, which receives contributions from the disconnected graphs, is very difficult to calculate, but a clear signal in the similar disconnected $\\pi\\pi$ correlator can be seen. Preliminary results, some with large errors, will be prese"},"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":"1010.3768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-19T01:06:17Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"33dabb1f00a478e3d7b5e154599668c920efbc27074f663304d2451b4b6e2786","abstract_canon_sha256":"1e704ca594dfb2d943901145424786c2cce355bb865cb9566b25aa84b0510a17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:29.390113Z","signature_b64":"MJLmjVwnWT7YXph8t4E4hVYFd9NV8A73WYQS2RLZQL2m+BJS7OLAMLaHfiAjy45nwmmfbE/X6lylASs78uEWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"007e2048028637fda7169762e7fe972e73d5234ff192d77cd0d92ef9963aaab7","last_reissued_at":"2026-05-18T04:28:29.389712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:29.389712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Preliminary results of $\\Delta I=1/2$ and $3/2$, $K$ to $\\pi\\pi$ Decay Amplitudes from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Qi Liu, RBC, UKQCD Collaborations","submitted_at":"2010-10-19T01:06:17Z","abstract_excerpt":"We report a direct lattice calculation of the $K$ to $\\pi\\pi$ decay matrix elements for both $\\Delta I=1/2$ and $3/2$ channels on 2+1 flavor, domain wall fermion, $16^3\\times32$ lattices with zero $\\pi\\pi$ relative momentum and $m_\\pi=420$ MeV. All $K^0$ to $\\pi\\pi$ contractions are carefully listed and calculated. The decay into the isospin zero $\\pi\\pi$ final state, which receives contributions from the disconnected graphs, is very difficult to calculate, but a clear signal in the similar disconnected $\\pi\\pi$ correlator can be seen. Preliminary results, some with large errors, will be prese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3768","kind":"arxiv","version":1},"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":"1010.3768","created_at":"2026-05-18T04:28:29.389768+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.3768v1","created_at":"2026-05-18T04:28:29.389768+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3768","created_at":"2026-05-18T04:28:29.389768+00:00"},{"alias_kind":"pith_short_12","alias_value":"AB7CASACQY37","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"AB7CASACQY373JYW","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"AB7CASAC","created_at":"2026-05-18T12:26:05.355336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ","json":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ.json","graph_json":"https://pith.science/api/pith-number/AB7CASACQY373JYWS5ROP7UXFZ/graph.json","events_json":"https://pith.science/api/pith-number/AB7CASACQY373JYWS5ROP7UXFZ/events.json","paper":"https://pith.science/paper/AB7CASAC"},"agent_actions":{"view_html":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ","download_json":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ.json","view_paper":"https://pith.science/paper/AB7CASAC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.3768&json=true","fetch_graph":"https://pith.science/api/pith-number/AB7CASACQY373JYWS5ROP7UXFZ/graph.json","fetch_events":"https://pith.science/api/pith-number/AB7CASACQY373JYWS5ROP7UXFZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ/action/storage_attestation","attest_author":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ/action/author_attestation","sign_citation":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ/action/citation_signature","submit_replication":"https://pith.science/pith/AB7CASACQY373JYWS5ROP7UXFZ/action/replication_record"}},"created_at":"2026-05-18T04:28:29.389768+00:00","updated_at":"2026-05-18T04:28:29.389768+00:00"}