{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JKS3B7XPJSO2ALGCKCUSCD53X3","short_pith_number":"pith:JKS3B7XP","canonical_record":{"source":{"id":"2603.27608","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-03-29T10:02:10Z","cross_cats_sorted":[],"title_canon_sha256":"be1926143f9c18b7daedd058df0a607b34d82f5b435ed688011c9a81848167a3","abstract_canon_sha256":"eee36f18001a5a5ec2edc837b5164960c7fd60b2e0dfff7e234a8dd602595e5b"},"schema_version":"1.0"},"canonical_sha256":"4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec","source":{"kind":"arxiv","id":"2603.27608","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.27608","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"2603.27608v4","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.27608","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"JKS3B7XPJSO2","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_16","alias_value":"JKS3B7XPJSO2ALGC","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_8","alias_value":"JKS3B7XP","created_at":"2026-05-20T00:03:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JKS3B7XPJSO2ALGCKCUSCD53X3","target":"record","payload":{"canonical_record":{"source":{"id":"2603.27608","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-03-29T10:02:10Z","cross_cats_sorted":[],"title_canon_sha256":"be1926143f9c18b7daedd058df0a607b34d82f5b435ed688011c9a81848167a3","abstract_canon_sha256":"eee36f18001a5a5ec2edc837b5164960c7fd60b2e0dfff7e234a8dd602595e5b"},"schema_version":"1.0"},"canonical_sha256":"4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:09.602826Z","signature_b64":"rStfG5DFe6iWOzUiiIHx71ta9b7hHzWsBkJG0HrHvzZdavP5FwlEZylrHpNuFdavxsGeWGtltJRy7NTHwm9HAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec","last_reissued_at":"2026-05-20T00:03:09.602003Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:09.602003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.27608","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:03:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6iXCtZWe5+3i88ISzn4pvKElcn6DpID0Xh/7iRd/yMthUo4kh0f6TVt/WsP3sMgiGQx89VTwXA09L72mKnx6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:51:45.338240Z"},"content_sha256":"39044c205506f5c25238180174c7fef01c78faaaa0488588caf1099d28b9df12","schema_version":"1.0","event_id":"sha256:39044c205506f5c25238180174c7fef01c78faaaa0488588caf1099d28b9df12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JKS3B7XPJSO2ALGCKCUSCD53X3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain wall fermions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long.","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Thomas Blum, Yigal Shamir","submitted_at":"2026-03-29T10:02:10Z","abstract_excerpt":"We introduce the formulation of domain wall fermions in the context of lattice QCD. We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit. We discuss the residual breaking of chiral symmetry for finite extent of the fifth direction, and how it is affected by spectral features of the Wilson kernel. We also discuss various improvements of domain wall fermions including notably M\\\"obius fermions. These notes are a chapter contributed to the on-lin"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The spectral properties of the Wilson kernel control the size of residual chiral symmetry breaking for any finite fifth-direction extent; if these spectral features are not as assumed, the residual breaking estimates fail.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"69d534e692457b4b5db0de801c12231fe3eb7a68609d5e51de928f847c3c9444"},"source":{"id":"2603.27608","kind":"arxiv","version":4},"verdict":{"id":"74f7a1aa-e7bd-4c45-b3dd-55f120c1aa85","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T22:22:53.635038Z","strongest_claim":"We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit.","one_line_summary":"Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The spectral properties of the Wilson kernel control the size of residual chiral symmetry breaking for any finite fifth-direction extent; if these spectral features are not as assumed, the residual breaking estimates fail.","pith_extraction_headline":"Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.27608/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9ddb5b6cfb26b8f00fecd005284b2335ceb820a07706c7a4cadaa49c77366dd3"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"74f7a1aa-e7bd-4c45-b3dd-55f120c1aa85"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:03:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T07eDcNXTUdajXo/kMGbrI2Ybx1TVK3JdBksQd+RV+JlIMxjCbyl+cf5M2IgmqPIup3tstan5e5F9p2IL2qIDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:51:45.338725Z"},"content_sha256":"89ae4ab80d0d2b376eddb6a3ef4b90df9418b92f1ac710c99923a0bd04606b5b","schema_version":"1.0","event_id":"sha256:89ae4ab80d0d2b376eddb6a3ef4b90df9418b92f1ac710c99923a0bd04606b5b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JKS3B7XPJSO2ALGCKCUSCD53X3/bundle.json","state_url":"https://pith.science/pith/JKS3B7XPJSO2ALGCKCUSCD53X3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JKS3B7XPJSO2ALGCKCUSCD53X3/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":"2026-05-28T14:51:45Z","links":{"resolver":"https://pith.science/pith/JKS3B7XPJSO2ALGCKCUSCD53X3","bundle":"https://pith.science/pith/JKS3B7XPJSO2ALGCKCUSCD53X3/bundle.json","state":"https://pith.science/pith/JKS3B7XPJSO2ALGCKCUSCD53X3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JKS3B7XPJSO2ALGCKCUSCD53X3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JKS3B7XPJSO2ALGCKCUSCD53X3","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":"eee36f18001a5a5ec2edc837b5164960c7fd60b2e0dfff7e234a8dd602595e5b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-03-29T10:02:10Z","title_canon_sha256":"be1926143f9c18b7daedd058df0a607b34d82f5b435ed688011c9a81848167a3"},"schema_version":"1.0","source":{"id":"2603.27608","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.27608","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"2603.27608v4","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.27608","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"JKS3B7XPJSO2","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_16","alias_value":"JKS3B7XPJSO2ALGC","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_8","alias_value":"JKS3B7XP","created_at":"2026-05-20T00:03:09Z"}],"graph_snapshots":[{"event_id":"sha256:89ae4ab80d0d2b376eddb6a3ef4b90df9418b92f1ac710c99923a0bd04606b5b","target":"graph","created_at":"2026-05-20T00:03:09Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The spectral properties of the Wilson kernel control the size of residual chiral symmetry breaking for any finite fifth-direction extent; if these spectral features are not as assumed, the residual breaking estimates fail."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long."}],"snapshot_sha256":"69d534e692457b4b5db0de801c12231fe3eb7a68609d5e51de928f847c3c9444"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9ddb5b6cfb26b8f00fecd005284b2335ceb820a07706c7a4cadaa49c77366dd3"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2603.27608/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the formulation of domain wall fermions in the context of lattice QCD. We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit. We discuss the residual breaking of chiral symmetry for finite extent of the fifth direction, and how it is affected by spectral features of the Wilson kernel. We also discuss various improvements of domain wall fermions including notably M\\\"obius fermions. These notes are a chapter contributed to the on-lin","authors_text":"Thomas Blum, Yigal Shamir","cross_cats":[],"headline":"Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-03-29T10:02:10Z","title":"Domain wall fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.27608","kind":"arxiv","version":4},"verdict":{"created_at":"2026-05-14T22:22:53.635038Z","id":"74f7a1aa-e7bd-4c45-b3dd-55f120c1aa85","model_set":{"reader":"grok-4.3"},"one_line_summary":"Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long.","strongest_claim":"We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit.","weakest_assumption":"The spectral properties of the Wilson kernel control the size of residual chiral symmetry breaking for any finite fifth-direction extent; if these spectral features are not as assumed, the residual breaking estimates fail."}},"verdict_id":"74f7a1aa-e7bd-4c45-b3dd-55f120c1aa85"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:39044c205506f5c25238180174c7fef01c78faaaa0488588caf1099d28b9df12","target":"record","created_at":"2026-05-20T00:03:09Z","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":"eee36f18001a5a5ec2edc837b5164960c7fd60b2e0dfff7e234a8dd602595e5b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-03-29T10:02:10Z","title_canon_sha256":"be1926143f9c18b7daedd058df0a607b34d82f5b435ed688011c9a81848167a3"},"schema_version":"1.0","source":{"id":"2603.27608","kind":"arxiv","version":4}},"canonical_sha256":"4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec","first_computed_at":"2026-05-20T00:03:09.602003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:09.602003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rStfG5DFe6iWOzUiiIHx71ta9b7hHzWsBkJG0HrHvzZdavP5FwlEZylrHpNuFdavxsGeWGtltJRy7NTHwm9HAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:09.602826Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.27608","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39044c205506f5c25238180174c7fef01c78faaaa0488588caf1099d28b9df12","sha256:89ae4ab80d0d2b376eddb6a3ef4b90df9418b92f1ac710c99923a0bd04606b5b"],"state_sha256":"1ccd878fa386ba0bb98602bba3ddd8c4a9dae8cd526a54ab1fc858cbf9f615c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSgVpb4YT7GT8s4YcKNlehTjz8nfrmYST+ujOTZNux1C4RIpKI4Z30NkiFlIboFC2wKToWdfmRQwvL+lQIkPBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:51:45.340950Z","bundle_sha256":"fcf27d5ba17d2133e4fd5f81d1e343f249209a391a881a519b7de33393063e15"}}