{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:7OTYHMM3OAJO4U2PYCW57PE2S2","short_pith_number":"pith:7OTYHMM3","schema_version":"1.0","canonical_sha256":"fba783b19b7012ee534fc0addfbc9a96b29b161b9e57e3f7b7759c13cc164bcd","source":{"kind":"arxiv","id":"hep-lat/9807017","version":2},"attestation_state":"computed","paper":{"title":"A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Rajamani Narayanan, Robert G. Edwards, Urs M. Heller","submitted_at":"1998-07-08T18:52:05Z","abstract_excerpt":"We study three practical implementations of the Overlap-Dirac operator $D_o= (1/2) [1 + \\gamma_5\\epsilon(H_w)]$ in four dimensions. Two implementations are based on different representations of $\\epsilon(H_w)$ as a sum over poles. One of them is a polar decomposition and the other is an optimal fit to a ratio of polynomials. The third one is obtained by representing $\\epsilon(H_w)$ using Gegenbauer polynomials and is referred to as the fractional inverse method. After presenting some spectral properties of the Hermitian operator $H_o=\\gamma_5 D_o$, we study its spectrum in a smooth SU(2) insta"},"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/9807017","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1998-07-08T18:52:05Z","cross_cats_sorted":[],"title_canon_sha256":"718f94505b30cf47343b475b34ea0fb6ea722999573c50b401b037dc7e8b165c","abstract_canon_sha256":"033255b32ec50b696786b69459e656d40e067a3179ffa2589d9a6b5057a0624a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:45.877135Z","signature_b64":"vxVfNG+aMEoDAs9hf7TAdIdGgZLdxamDSyiGWFbO7Cr0//YnT9W1vLhPjjm9oXpXqHwZeJ2psAnkT3eh6H0wAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fba783b19b7012ee534fc0addfbc9a96b29b161b9e57e3f7b7759c13cc164bcd","last_reissued_at":"2026-05-18T04:17:45.876678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:45.876678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Rajamani Narayanan, Robert G. Edwards, Urs M. Heller","submitted_at":"1998-07-08T18:52:05Z","abstract_excerpt":"We study three practical implementations of the Overlap-Dirac operator $D_o= (1/2) [1 + \\gamma_5\\epsilon(H_w)]$ in four dimensions. Two implementations are based on different representations of $\\epsilon(H_w)$ as a sum over poles. One of them is a polar decomposition and the other is an optimal fit to a ratio of polynomials. The third one is obtained by representing $\\epsilon(H_w)$ using Gegenbauer polynomials and is referred to as the fractional inverse method. After presenting some spectral properties of the Hermitian operator $H_o=\\gamma_5 D_o$, we study its spectrum in a smooth SU(2) insta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9807017","kind":"arxiv","version":2},"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/9807017","created_at":"2026-05-18T04:17:45.876751+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9807017v2","created_at":"2026-05-18T04:17:45.876751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9807017","created_at":"2026-05-18T04:17:45.876751+00:00"},{"alias_kind":"pith_short_12","alias_value":"7OTYHMM3OAJO","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"7OTYHMM3OAJO4U2P","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"7OTYHMM3","created_at":"2026-05-18T12:25:49.038998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2","json":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2.json","graph_json":"https://pith.science/api/pith-number/7OTYHMM3OAJO4U2PYCW57PE2S2/graph.json","events_json":"https://pith.science/api/pith-number/7OTYHMM3OAJO4U2PYCW57PE2S2/events.json","paper":"https://pith.science/paper/7OTYHMM3"},"agent_actions":{"view_html":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2","download_json":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2.json","view_paper":"https://pith.science/paper/7OTYHMM3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/9807017&json=true","fetch_graph":"https://pith.science/api/pith-number/7OTYHMM3OAJO4U2PYCW57PE2S2/graph.json","fetch_events":"https://pith.science/api/pith-number/7OTYHMM3OAJO4U2PYCW57PE2S2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2/action/storage_attestation","attest_author":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2/action/author_attestation","sign_citation":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2/action/citation_signature","submit_replication":"https://pith.science/pith/7OTYHMM3OAJO4U2PYCW57PE2S2/action/replication_record"}},"created_at":"2026-05-18T04:17:45.876751+00:00","updated_at":"2026-05-18T04:17:45.876751+00:00"}