{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D3P3FEOMBA45AACEV7WYPZYUS3","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":"47758a187cdc40be683445bf7289427cd1b332e536703e7988a671740d4708f1","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-05T20:11:58Z","title_canon_sha256":"247b7ca1b90a7d13f4d7b35e5b187b01f4784211bd3c4bb346a0a1e01fa82997"},"schema_version":"1.0","source":{"id":"1503.01750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01750","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01750v1","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01750","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"D3P3FEOMBA45","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D3P3FEOMBA45AACE","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D3P3FEOM","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:a9286541c917f3f67365e1547d3b2714ef6764fff63a24fe6936fca8e7d595fa","target":"graph","created_at":"2026-05-18T01:23:45Z","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 present the domain-wall fermion operator which is reflection symmetric in the fifth dimension, with the approximate sign function $ S(H) $ of the effective 4-dimensional Dirac operator satisfying the bound $ |1-S(\\lambda)| \\le 2 d_Z $ for $ \\lambda^2 \\in [\\lambda_{min}^2, \\lambda_{max}^2] $, where $ d_Z $ is the maximum deviation $ | 1- \\sqrt{x} R_Z(x) |_{\\rm max} $ of the Zolotarev optimal rational polynomial $ R_Z(x) $ of $ 1/\\sqrt{x} $ for $ x \\in [1, \\lambda_{max}^2/\\lambda_{min}^2] $, with degrees $ (n-1,n) $ for $ N_s = 2n $, and $ (n,n) $ for $ N_s = 2 n + 1 $.","authors_text":"Ting-Wai Chiu","cross_cats":["hep-ph","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-05T20:11:58Z","title":"Domain-Wall Fermion with $ R_5 $ Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01750","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":"sha256:04aa5603ecf795c8fb5e91fd4bbd8de7c542e22023d450bd0074eb8f8a8ba699","target":"record","created_at":"2026-05-18T01:23:45Z","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":"47758a187cdc40be683445bf7289427cd1b332e536703e7988a671740d4708f1","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-05T20:11:58Z","title_canon_sha256":"247b7ca1b90a7d13f4d7b35e5b187b01f4784211bd3c4bb346a0a1e01fa82997"},"schema_version":"1.0","source":{"id":"1503.01750","kind":"arxiv","version":1}},"canonical_sha256":"1edfb291cc0839d00044afed87e71496c2337b2ab7a0faa83fa3655f202a39b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1edfb291cc0839d00044afed87e71496c2337b2ab7a0faa83fa3655f202a39b5","first_computed_at":"2026-05-18T01:23:45.057932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:45.057932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QbZf5KehvA7a1X/BGguab3YNXZc1PH/efkBlNjHxl2+RlcNhAwv2B/prYuDnCb/YX3x6wfsak1mIPrnYXqAgBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:45.058774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04aa5603ecf795c8fb5e91fd4bbd8de7c542e22023d450bd0074eb8f8a8ba699","sha256:a9286541c917f3f67365e1547d3b2714ef6764fff63a24fe6936fca8e7d595fa"],"state_sha256":"3d19519676a595575868e1313da54bcfe9ebd4fb27f22f7c36fa75effa3e6a9a"}