{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2QRCBBXYCGTBTL2IUSRQTLHKMC","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":"96419d1aea9c66fb56f05c3fcefeac8c9338fe9f06d2d9f5f3ea6ef8e97f75e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-30T01:07:40Z","title_canon_sha256":"a169784321c580790d18c6660c6533a634967fd23b49d5b681c351915e8f7101"},"schema_version":"1.0","source":{"id":"2501.18077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.18077","created_at":"2026-07-05T10:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"2501.18077v1","created_at":"2026-07-05T10:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.18077","created_at":"2026-07-05T10:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"2QRCBBXYCGTB","created_at":"2026-07-05T10:07:06Z"},{"alias_kind":"pith_short_16","alias_value":"2QRCBBXYCGTBTL2I","created_at":"2026-07-05T10:07:06Z"},{"alias_kind":"pith_short_8","alias_value":"2QRCBBXY","created_at":"2026-07-05T10:07:06Z"}],"graph_snapshots":[{"event_id":"sha256:d9018650043eefbbb097d5278a6d10cc1c3fb7258e97b343b2f59b4f928d19b2","target":"graph","created_at":"2026-07-05T10:07:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.18077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present our preliminary results for the $\\Delta I = 1/2$ matrix elements of $K\\to\\pi\\pi$ decay and $\\varepsilon'$, the measure of direct $CP$ violation in $K\\to\\pi\\pi$, computed on multiple ensembles with periodic boundary conditions (PBC) at the inverse lattice spacings of $a^{-1} \\approx 1.0$~GeV and 1.4~GeV. The finer lattice ensemble is newly introduced as an extension to the first PBC calculation [1], while the calculation on the coarser ensemble is updated with the approximately doubled statistics. Our first attempt to take the continuum limit is also discussed with acknowledging pote","authors_text":"Masaaki Tomii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-30T01:07:40Z","title":"$\\Delta I =1/2$ process of $K\\to\\pi\\pi$ decay on multiple ensembles with periodic boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.18077","kind":"arxiv","version":1},"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":"sha256:4cfdaab00a68f3019a2de93087e198957f172913bd0992908d79f95a5f458004","target":"record","created_at":"2026-07-05T10:07:06Z","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":"96419d1aea9c66fb56f05c3fcefeac8c9338fe9f06d2d9f5f3ea6ef8e97f75e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-30T01:07:40Z","title_canon_sha256":"a169784321c580790d18c6660c6533a634967fd23b49d5b681c351915e8f7101"},"schema_version":"1.0","source":{"id":"2501.18077","kind":"arxiv","version":1}},"canonical_sha256":"d4222086f811a619af48a4a309acea6091b5bded6b86c70f27f898fbaf8ca7ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4222086f811a619af48a4a309acea6091b5bded6b86c70f27f898fbaf8ca7ad","first_computed_at":"2026-07-05T10:07:06.695585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:07:06.695585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jn5P/9kU58kZDGUctWG7dyrSZk42uetguErDu5I4EZxE8iKiVV58z3bDAsc5laA+HTEQNX3rHZ1hiBwebR1CCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:07:06.696021Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.18077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cfdaab00a68f3019a2de93087e198957f172913bd0992908d79f95a5f458004","sha256:d9018650043eefbbb097d5278a6d10cc1c3fb7258e97b343b2f59b4f928d19b2"],"state_sha256":"e3d1b0d359d0e6f2d55d5de47800799f3f145a57000119faa6658fbce27946d8"}