{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:54RDBBA73DGSV5WZWLSHCKO4FC","short_pith_number":"pith:54RDBBA7","canonical_record":{"source":{"id":"hep-lat/0110070","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T19:25:10Z","cross_cats_sorted":[],"title_canon_sha256":"ff5539a81d67a2df08d4627a4fc3992be92048ea00ea572653ab4e2290dbf3e2","abstract_canon_sha256":"d918578cb99829230a7ef230ee4f19af49ba729a4ffb2db8d5488f673ec85772"},"schema_version":"1.0"},"canonical_sha256":"ef2230841fd8cd2af6d9b2e47129dc28913a07c437ddcdfcfddc8866ee12f777","source":{"kind":"arxiv","id":"hep-lat/0110070","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0110070","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110070v1","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110070","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"54RDBBA73DGS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"54RDBBA73DGSV5WZ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"54RDBBA7","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:54RDBBA73DGSV5WZWLSHCKO4FC","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/0110070","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T19:25:10Z","cross_cats_sorted":[],"title_canon_sha256":"ff5539a81d67a2df08d4627a4fc3992be92048ea00ea572653ab4e2290dbf3e2","abstract_canon_sha256":"d918578cb99829230a7ef230ee4f19af49ba729a4ffb2db8d5488f673ec85772"},"schema_version":"1.0"},"canonical_sha256":"ef2230841fd8cd2af6d9b2e47129dc28913a07c437ddcdfcfddc8866ee12f777","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:14.964799Z","signature_b64":"NtTp5vvoEc8zopOFxXnBwlK8Pb7GD/AUgNoVbLlVfoSYDdKE0YaGRYBWqq5QZor4o7oDvkk/yLaJBuMN2QUgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef2230841fd8cd2af6d9b2e47129dc28913a07c437ddcdfcfddc8866ee12f777","last_reissued_at":"2026-05-18T01:39:14.964265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:14.964265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/0110070","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":"2026-05-18T01:39:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMECvvtUG/3ZprkCr4bRQ2H1vmCBycjBlR62xzyX+RWVUGo4snWa/UtA2eWStF+gFqgOCNGtx+HylA4Ie+j7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:51:19.388866Z"},"content_sha256":"4d5475b59d07d0711ae92b39c228110154d2fc238682f5292faf9b2e9380e533","schema_version":"1.0","event_id":"sha256:4d5475b59d07d0711ae92b39c228110154d2fc238682f5292faf9b2e9380e533"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:54RDBBA73DGSV5WZWLSHCKO4FC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The overlap operator as a continued fraction","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Borici, A. D. Kennedy, B. J. Pendleton, U. Wenger","submitted_at":"2001-10-12T19:25:10Z","abstract_excerpt":"We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method where nested conjugate gradient procedures are avoided. We show that the five dimensional linear system can be made well conditioned using equivalence transformations on the continued fractions. This is of significant importance when dynamical overlap fermions are simulated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0110070","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":"2026-05-18T01:39:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AyyK/QoQ5hqxuCPhvo64Wz4CyF/kgigB6bYAjlzGNY3JdocBLhjiqghDCJcoRssTuw2ZYy786Iza+sbkgbjaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:51:19.389201Z"},"content_sha256":"9e4806b5c45dd5359245eccf7da514ecc85a1549c1ea2e226a67e07ebe2ac7cf","schema_version":"1.0","event_id":"sha256:9e4806b5c45dd5359245eccf7da514ecc85a1549c1ea2e226a67e07ebe2ac7cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/54RDBBA73DGSV5WZWLSHCKO4FC/bundle.json","state_url":"https://pith.science/pith/54RDBBA73DGSV5WZWLSHCKO4FC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/54RDBBA73DGSV5WZWLSHCKO4FC/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":"2026-06-01T15:51:19Z","links":{"resolver":"https://pith.science/pith/54RDBBA73DGSV5WZWLSHCKO4FC","bundle":"https://pith.science/pith/54RDBBA73DGSV5WZWLSHCKO4FC/bundle.json","state":"https://pith.science/pith/54RDBBA73DGSV5WZWLSHCKO4FC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/54RDBBA73DGSV5WZWLSHCKO4FC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:54RDBBA73DGSV5WZWLSHCKO4FC","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":"d918578cb99829230a7ef230ee4f19af49ba729a4ffb2db8d5488f673ec85772","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T19:25:10Z","title_canon_sha256":"ff5539a81d67a2df08d4627a4fc3992be92048ea00ea572653ab4e2290dbf3e2"},"schema_version":"1.0","source":{"id":"hep-lat/0110070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0110070","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110070v1","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110070","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"54RDBBA73DGS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"54RDBBA73DGSV5WZ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"54RDBBA7","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:9e4806b5c45dd5359245eccf7da514ecc85a1549c1ea2e226a67e07ebe2ac7cf","target":"graph","created_at":"2026-05-18T01:39:14Z","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 use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method where nested conjugate gradient procedures are avoided. We show that the five dimensional linear system can be made well conditioned using equivalence transformations on the continued fractions. This is of significant importance when dynamical overlap fermions are simulated.","authors_text":"A. Borici, A. D. Kennedy, B. J. Pendleton, U. Wenger","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T19:25:10Z","title":"The overlap operator as a continued fraction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0110070","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":"sha256:4d5475b59d07d0711ae92b39c228110154d2fc238682f5292faf9b2e9380e533","target":"record","created_at":"2026-05-18T01:39:14Z","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":"d918578cb99829230a7ef230ee4f19af49ba729a4ffb2db8d5488f673ec85772","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T19:25:10Z","title_canon_sha256":"ff5539a81d67a2df08d4627a4fc3992be92048ea00ea572653ab4e2290dbf3e2"},"schema_version":"1.0","source":{"id":"hep-lat/0110070","kind":"arxiv","version":1}},"canonical_sha256":"ef2230841fd8cd2af6d9b2e47129dc28913a07c437ddcdfcfddc8866ee12f777","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef2230841fd8cd2af6d9b2e47129dc28913a07c437ddcdfcfddc8866ee12f777","first_computed_at":"2026-05-18T01:39:14.964265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:14.964265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NtTp5vvoEc8zopOFxXnBwlK8Pb7GD/AUgNoVbLlVfoSYDdKE0YaGRYBWqq5QZor4o7oDvkk/yLaJBuMN2QUgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:14.964799Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0110070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d5475b59d07d0711ae92b39c228110154d2fc238682f5292faf9b2e9380e533","sha256:9e4806b5c45dd5359245eccf7da514ecc85a1549c1ea2e226a67e07ebe2ac7cf"],"state_sha256":"4220ceeaf15728d8c4f589f3d900830cbea2247fe6e816bd39fd980cc54f27b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"07py103Nv0pqWQadBMkc0Y9esC8u4WJo2Bk82hvHJs5pj7QFdVcpDG6Mk+tPnfepthkM3bviozc6hJbpbkUZAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:51:19.391111Z","bundle_sha256":"06453e94acbda10b1b75c07613147064982ba4c32459753a1262a6956f72f0df"}}