{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D3P3FEOMBA45AACEV7WYPZYUS3","short_pith_number":"pith:D3P3FEOM","canonical_record":{"source":{"id":"1503.01750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-05T20:11:58Z","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"title_canon_sha256":"247b7ca1b90a7d13f4d7b35e5b187b01f4784211bd3c4bb346a0a1e01fa82997","abstract_canon_sha256":"47758a187cdc40be683445bf7289427cd1b332e536703e7988a671740d4708f1"},"schema_version":"1.0"},"canonical_sha256":"1edfb291cc0839d00044afed87e71496c2337b2ab7a0faa83fa3655f202a39b5","source":{"kind":"arxiv","id":"1503.01750","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D3P3FEOMBA45AACEV7WYPZYUS3","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-05T20:11:58Z","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"title_canon_sha256":"247b7ca1b90a7d13f4d7b35e5b187b01f4784211bd3c4bb346a0a1e01fa82997","abstract_canon_sha256":"47758a187cdc40be683445bf7289427cd1b332e536703e7988a671740d4708f1"},"schema_version":"1.0"},"canonical_sha256":"1edfb291cc0839d00044afed87e71496c2337b2ab7a0faa83fa3655f202a39b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:45.058774Z","signature_b64":"QbZf5KehvA7a1X/BGguab3YNXZc1PH/efkBlNjHxl2+RlcNhAwv2B/prYuDnCb/YX3x6wfsak1mIPrnYXqAgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1edfb291cc0839d00044afed87e71496c2337b2ab7a0faa83fa3655f202a39b5","last_reissued_at":"2026-05-18T01:23:45.057932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:45.057932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01750","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TIrqGgJbjuTQrVJnQ4p6r2XUGBD8QTMeaSMC0l5urESTBijgo58+izonWyPw7SHNJjQr+7vAr+UbF062glSYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:39:48.295980Z"},"content_sha256":"04aa5603ecf795c8fb5e91fd4bbd8de7c542e22023d450bd0074eb8f8a8ba699","schema_version":"1.0","event_id":"sha256:04aa5603ecf795c8fb5e91fd4bbd8de7c542e22023d450bd0074eb8f8a8ba699"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D3P3FEOMBA45AACEV7WYPZYUS3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain-Wall Fermion with $ R_5 $ Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th","math-ph","math.MP"],"primary_cat":"hep-lat","authors_text":"Ting-Wai Chiu","submitted_at":"2015-03-05T20:11:58Z","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 $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01750","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K8NYZ5F52+dkNP3QTsLxKO7gsD6pqEiMKzaalqLvxg17OQW+th75YXFcc/XRm0jKMzgEsWxUMiNC5QVAary3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:39:48.296554Z"},"content_sha256":"a9286541c917f3f67365e1547d3b2714ef6764fff63a24fe6936fca8e7d595fa","schema_version":"1.0","event_id":"sha256:a9286541c917f3f67365e1547d3b2714ef6764fff63a24fe6936fca8e7d595fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D3P3FEOMBA45AACEV7WYPZYUS3/bundle.json","state_url":"https://pith.science/pith/D3P3FEOMBA45AACEV7WYPZYUS3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D3P3FEOMBA45AACEV7WYPZYUS3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T05:39:48Z","links":{"resolver":"https://pith.science/pith/D3P3FEOMBA45AACEV7WYPZYUS3","bundle":"https://pith.science/pith/D3P3FEOMBA45AACEV7WYPZYUS3/bundle.json","state":"https://pith.science/pith/D3P3FEOMBA45AACEV7WYPZYUS3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D3P3FEOMBA45AACEV7WYPZYUS3/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"doKsBo7vH9d3VVsh6MHUE8/cYUrEImBKRm+/m2z3BCchi/W6Z6x60+d6yWsaaBMm5CQWzoC+iIaHofD5Z2onAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:39:48.299503Z","bundle_sha256":"7d269ac7f66e4a34b54a528e4a6ceddd14825ff32a0d3f62114cd07e6f26d27f"}}