{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RN4TAG42EPJI2R5NUOAGF2SJAR","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":"753d7182a2ddb7b38235cdfbafb71c49b621076a4d9eb4a0730219c6f247d0ba","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-05-28T16:15:03Z","title_canon_sha256":"677e7199f72a876180254bad1c9c260735416dad99559de99842cd255b126549"},"schema_version":"1.0","source":{"id":"1205.6151","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.6151","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"1205.6151v3","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6151","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"RN4TAG42EPJI","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RN4TAG42EPJI2R5N","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RN4TAG42","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:f44aeb7220c5c1bf7899ed131b3642eedceb20c68496aedb7f0e2819e894810e","target":"graph","created_at":"2026-05-18T03:41:12Z","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 derive the axial Ward identity for lattice QCD with domain-wall fermions, and from which we obtain a formula for the residual mass (45)-(46), that can be used to measure the chiral symmetry breaking due to the finite extension Ns in the fifth dimension. Furthermore, we obtain an upper bound for the residual mass in lattice QCD with the optimal domain-wall fermion.","authors_text":"Ting-Wai Chiu (TWQCD collaboration), Yu-Chih Chen","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-05-28T16:15:03Z","title":"Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6151","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":"sha256:1649d109c2bcbc8de5ce11da8107684a6d0518aaf4b0fd68a4185d9113d69760","target":"record","created_at":"2026-05-18T03:41:12Z","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":"753d7182a2ddb7b38235cdfbafb71c49b621076a4d9eb4a0730219c6f247d0ba","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-05-28T16:15:03Z","title_canon_sha256":"677e7199f72a876180254bad1c9c260735416dad99559de99842cd255b126549"},"schema_version":"1.0","source":{"id":"1205.6151","kind":"arxiv","version":3}},"canonical_sha256":"8b79301b9a23d28d47ada38062ea49045b03f163159b13b46bdb47855d17d1b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b79301b9a23d28d47ada38062ea49045b03f163159b13b46bdb47855d17d1b6","first_computed_at":"2026-05-18T03:41:12.432830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:12.432830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ThYu8NjZjo5enUtT+Udsd9hL2ywBrKoZfplcz1DhIjELSBqU4oHMe2Kps6+00qaC3nw7WBAvPsFLwcm50uSyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:12.433297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.6151","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1649d109c2bcbc8de5ce11da8107684a6d0518aaf4b0fd68a4185d9113d69760","sha256:f44aeb7220c5c1bf7899ed131b3642eedceb20c68496aedb7f0e2819e894810e"],"state_sha256":"3e6c6fe07b487ae14b7936943104060ebb530d9d26bf9d9e373d52aa3e0be2be"}