{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:GWDLZCYSZDW7LEX5INONMVIBWI","short_pith_number":"pith:GWDLZCYS","schema_version":"1.0","canonical_sha256":"3586bc8b12c8edf592fd435cd65501b23de33d139dfbe7a88037cf769f21a1b5","source":{"kind":"arxiv","id":"hep-lat/9804016","version":4},"attestation_state":"computed","paper":{"title":"Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice","license":"","headline":"","cross_cats":["cond-mat.str-el","hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Ting-Wai Chiu","submitted_at":"1998-04-13T12:43:21Z","abstract_excerpt":"The square root of the positive definite hermitian operator $D_w^{\\dagger} D_w$ in Neuberger's proposal of exactly massless quarks on the lattice is implemented by the recursion formula $Y_{k+1} = {1/2} (Y_k + D_w^{\\dagger} D_w Y_k^{-1})$ with $Y_0 = \\Id$, where $Y_k^2$ converges to $D_w^{\\dagger} D_w$ quadratically. The spectrum of the lattice Dirac operator for single massless fermion in two dimensional background U(1) gauge fields is investigated. For smooth background gauge fields with non-zero topological charge, the exact zero modes with definite chirality are reproduced to a very high p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-lat/9804016","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1998-04-13T12:43:21Z","cross_cats_sorted":["cond-mat.str-el","hep-ph","hep-th"],"title_canon_sha256":"3f097b2f15cb71ba4c7dc8dca5514939acd6cd0e2371940cfeac13925adb02ae","abstract_canon_sha256":"2f72f8d3fa2c817a239caa261ea5c33b883315fe61c751b2537bed25f13d0ebe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:37.780937Z","signature_b64":"n/c3kAz+rtKfkp6nd3Wz/90hOIPv+0dDZWYBDcYZwLw0lkP6PAAhgF10ggZeEY8tZkhAHL2kndHxFGUScZ6rDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3586bc8b12c8edf592fd435cd65501b23de33d139dfbe7a88037cf769f21a1b5","last_reissued_at":"2026-05-18T04:28:37.780044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:37.780044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice","license":"","headline":"","cross_cats":["cond-mat.str-el","hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Ting-Wai Chiu","submitted_at":"1998-04-13T12:43:21Z","abstract_excerpt":"The square root of the positive definite hermitian operator $D_w^{\\dagger} D_w$ in Neuberger's proposal of exactly massless quarks on the lattice is implemented by the recursion formula $Y_{k+1} = {1/2} (Y_k + D_w^{\\dagger} D_w Y_k^{-1})$ with $Y_0 = \\Id$, where $Y_k^2$ converges to $D_w^{\\dagger} D_w$ quadratically. The spectrum of the lattice Dirac operator for single massless fermion in two dimensional background U(1) gauge fields is investigated. For smooth background gauge fields with non-zero topological charge, the exact zero modes with definite chirality are reproduced to a very high p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9804016","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9804016","created_at":"2026-05-18T04:28:37.780153+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9804016v4","created_at":"2026-05-18T04:28:37.780153+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9804016","created_at":"2026-05-18T04:28:37.780153+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWDLZCYSZDW7","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWDLZCYSZDW7LEX5","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWDLZCYS","created_at":"2026-05-18T12:25:49.038998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.09886","citing_title":"Lattice Chiral Fermion without Hermiticity","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI","json":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI.json","graph_json":"https://pith.science/api/pith-number/GWDLZCYSZDW7LEX5INONMVIBWI/graph.json","events_json":"https://pith.science/api/pith-number/GWDLZCYSZDW7LEX5INONMVIBWI/events.json","paper":"https://pith.science/paper/GWDLZCYS"},"agent_actions":{"view_html":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI","download_json":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI.json","view_paper":"https://pith.science/paper/GWDLZCYS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/9804016&json=true","fetch_graph":"https://pith.science/api/pith-number/GWDLZCYSZDW7LEX5INONMVIBWI/graph.json","fetch_events":"https://pith.science/api/pith-number/GWDLZCYSZDW7LEX5INONMVIBWI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI/action/storage_attestation","attest_author":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI/action/author_attestation","sign_citation":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI/action/citation_signature","submit_replication":"https://pith.science/pith/GWDLZCYSZDW7LEX5INONMVIBWI/action/replication_record"}},"created_at":"2026-05-18T04:28:37.780153+00:00","updated_at":"2026-05-18T04:28:37.780153+00:00"}