{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:7GU5Q4EQRSWXJC5MU47QULPALW","short_pith_number":"pith:7GU5Q4EQ","schema_version":"1.0","canonical_sha256":"f9a9d870908cad748baca73f0a2de05dbf2c8ed4c4e62248ec0cd3a9e07d41cb","source":{"kind":"arxiv","id":"1901.04107","version":1},"attestation_state":"computed","paper":{"title":"Towards non-perturbative matching of three/four-flavor Wilson coefficients with a position-space procedure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Masaaki Tomii","submitted_at":"2019-01-14T01:55:45Z","abstract_excerpt":"We propose a strategy to non-perturbatively match the Wilson coefficients in the three- and four-flavor theories, which uses two-point Green's functions of the corresponding four-quark operators at long distances. The idea is refined by combining with the spherical averaging technique, which enables us to convert two-point functions calculated on the lattice into continuous functions of the distance $|x-y|$ between two operators. We also show the result for an exploratory calculation of two-point functions of the $\\Delta S=1$ operators $Q_7$ and $Q_8$ that are in the $(8_L,8_R)$ representation"},"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":"1901.04107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2019-01-14T01:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"59e2fe20f27a8883939f9956957540f69986868a0bff81192e30de6b785f3f44","abstract_canon_sha256":"bc1a6fcef5130471dfcb5eaccfdd36f2a69578a7cc1527f06d4a9daeec99eec7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:26.276656Z","signature_b64":"Dm3ju77jgEYUrXTo4DmTbR4xuiygxMijSJuIsWmrlnLNXLoKi3gtuyuCRdGtMb80RR2Ug+KUQTnJz3t3KdyUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9a9d870908cad748baca73f0a2de05dbf2c8ed4c4e62248ec0cd3a9e07d41cb","last_reissued_at":"2026-05-17T23:56:26.276226Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:26.276226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards non-perturbative matching of three/four-flavor Wilson coefficients with a position-space procedure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Masaaki Tomii","submitted_at":"2019-01-14T01:55:45Z","abstract_excerpt":"We propose a strategy to non-perturbatively match the Wilson coefficients in the three- and four-flavor theories, which uses two-point Green's functions of the corresponding four-quark operators at long distances. The idea is refined by combining with the spherical averaging technique, which enables us to convert two-point functions calculated on the lattice into continuous functions of the distance $|x-y|$ between two operators. We also show the result for an exploratory calculation of two-point functions of the $\\Delta S=1$ operators $Q_7$ and $Q_8$ that are in the $(8_L,8_R)$ representation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04107","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":"1901.04107","created_at":"2026-05-17T23:56:26.276302+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.04107v1","created_at":"2026-05-17T23:56:26.276302+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04107","created_at":"2026-05-17T23:56:26.276302+00:00"},{"alias_kind":"pith_short_12","alias_value":"7GU5Q4EQRSWX","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"7GU5Q4EQRSWXJC5M","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"7GU5Q4EQ","created_at":"2026-05-18T12:33:12.712433+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/7GU5Q4EQRSWXJC5MU47QULPALW","json":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW.json","graph_json":"https://pith.science/api/pith-number/7GU5Q4EQRSWXJC5MU47QULPALW/graph.json","events_json":"https://pith.science/api/pith-number/7GU5Q4EQRSWXJC5MU47QULPALW/events.json","paper":"https://pith.science/paper/7GU5Q4EQ"},"agent_actions":{"view_html":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW","download_json":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW.json","view_paper":"https://pith.science/paper/7GU5Q4EQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.04107&json=true","fetch_graph":"https://pith.science/api/pith-number/7GU5Q4EQRSWXJC5MU47QULPALW/graph.json","fetch_events":"https://pith.science/api/pith-number/7GU5Q4EQRSWXJC5MU47QULPALW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW/action/storage_attestation","attest_author":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW/action/author_attestation","sign_citation":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW/action/citation_signature","submit_replication":"https://pith.science/pith/7GU5Q4EQRSWXJC5MU47QULPALW/action/replication_record"}},"created_at":"2026-05-17T23:56:26.276302+00:00","updated_at":"2026-05-17T23:56:26.276302+00:00"}