{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U2VUCBUJV6KCK2FSCHKDTL5WCY","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":"f3473fe34db4ffe1d5fc06d968b8c33dcb1f9bd3ea9f538e87f346f7bac1fe3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-12-24T16:19:32Z","title_canon_sha256":"2ea18b5a82e8fdda8dc71ea7c5d847748aa97b0c4fdfecdce299b5015ddf218e"},"schema_version":"1.0","source":{"id":"1212.5931","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5931","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5931v3","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5931","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"U2VUCBUJV6KC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U2VUCBUJV6KCK2FS","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U2VUCBUJ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:64a4c1b71e7f2d06ca45af2b103f7654b760212e78afa8ac5d1728fb96e73573","target":"graph","created_at":"2026-05-18T03:04:06Z","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"},"paper":{"abstract_excerpt":"We develop and demonstrate techniques needed to compute the long distance contribution to the $K_{L}$-$K_{S}$ mass difference, $\\Delta M_K$, in lattice QCD and carry out a first, exploratory calculation of this fundamental quantity. The calculation is performed on 2+1 flavor, domain wall fermion, $16^3\\times32$ configurations with a 421 MeV pion mass and an inverse lattice spacing $1/a=1.73$ GeV. We include only current-current operators and drop all disconnected and double penguin diagrams. The short distance part of the mass difference in a 2+1 flavor calculation contains a quadratic diverge","authors_text":"A. Soni, C. T. Sachrajda, J. Yu, N. H. Christ, T. Izubuchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-12-24T16:19:32Z","title":"Long distance contribution to the $K_L-K_S$ mass difference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5931","kind":"arxiv","version":3},"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":"sha256:41126077a25530a8f1ecb785063acb41fa2dfc5382e91dae03bf5b838ec36324","target":"record","created_at":"2026-05-18T03:04:06Z","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":"f3473fe34db4ffe1d5fc06d968b8c33dcb1f9bd3ea9f538e87f346f7bac1fe3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-12-24T16:19:32Z","title_canon_sha256":"2ea18b5a82e8fdda8dc71ea7c5d847748aa97b0c4fdfecdce299b5015ddf218e"},"schema_version":"1.0","source":{"id":"1212.5931","kind":"arxiv","version":3}},"canonical_sha256":"a6ab410689af942568b211d439afb616110a7e8c6b4287a576d1832613b33073","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6ab410689af942568b211d439afb616110a7e8c6b4287a576d1832613b33073","first_computed_at":"2026-05-18T03:04:06.711754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:06.711754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0fxajh7AcNfkql9a61H0WH4D1w99AyyyGnvbAqR0Crkyx7z0lKZCccxNKa+rE8qzu+DYzQL7cMZ0E7oSg/p1Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:06.712477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5931","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41126077a25530a8f1ecb785063acb41fa2dfc5382e91dae03bf5b838ec36324","sha256:64a4c1b71e7f2d06ca45af2b103f7654b760212e78afa8ac5d1728fb96e73573"],"state_sha256":"f0a4d81be2d37805984f2f9d1321bc0fd54eb206c77627f5535004e98b9cf9e6"}