{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XEYCPHFLUUCTZK2SOX2OGQYNBQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fab64d51d27f75d45d1cf8bb820150074627b4911387480b7c049bd2460fe85f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-09-06T16:37:58Z","title_canon_sha256":"c41e1767eef8ee541521fd05cb1ed20fc83dd3ed7b69f3114f42e04b9046d69b"},"schema_version":"1.0","source":{"id":"1109.1223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1223","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1223v2","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1223","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"XEYCPHFLUUCT","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEYCPHFLUUCTZK2S","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEYCPHFL","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:205fa5a3516da83e1fd5d7b9a6286ea721245ceb00aefc59f595b180dd3241cf","target":"graph","created_at":"2026-05-18T04:03:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that the running of operators which mix under renormalization can be computed fully non-perturbatively as a product of continuum step scaling matrices. These step scaling matrices are obtained by taking the \"ratio\" of Z matrices computed at different energies in an RI-MOM type scheme for which twisted boundary conditions are an essential ingredient. Our method allows us to relax the bounds of the Rome-Southampton window. We also explain why such a method is important in view of the light quark physics program of the RBC-UKQCD collaborations. To illustrate our method, using n_f=2+1 doma","authors_text":"A.T. Lytle, C. Kelly, N. Garron, P.A. Boyle, R. Arthur","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-09-06T16:37:58Z","title":"Opening the Rome-Southampton window for operator mixing matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1223","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a172b51c4d224ec458e05d8130cf4cedea2aa968e47ad0953f40ab1fe8ae1e29","target":"record","created_at":"2026-05-18T04:03:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fab64d51d27f75d45d1cf8bb820150074627b4911387480b7c049bd2460fe85f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-09-06T16:37:58Z","title_canon_sha256":"c41e1767eef8ee541521fd05cb1ed20fc83dd3ed7b69f3114f42e04b9046d69b"},"schema_version":"1.0","source":{"id":"1109.1223","kind":"arxiv","version":2}},"canonical_sha256":"b930279caba5053cab5275f4e3430d0c21eeee4c5da3b2ea257c1769b570005d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b930279caba5053cab5275f4e3430d0c21eeee4c5da3b2ea257c1769b570005d","first_computed_at":"2026-05-18T04:03:56.860478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:56.860478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U6OQxi4Qk7dL0YFB9GiiOJhvGi55bnFbLjQ5xB96UyXlil8HIC2k9m0a+DUqL3rPW0ElQbdqrueQpQTA4/g9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:56.860964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a172b51c4d224ec458e05d8130cf4cedea2aa968e47ad0953f40ab1fe8ae1e29","sha256:205fa5a3516da83e1fd5d7b9a6286ea721245ceb00aefc59f595b180dd3241cf"],"state_sha256":"edfd1cd587b39f561d2310ae6ea90da8105ac635931b49e3b4ffdc6ea77457fe"}