{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:44NDRCHBANDZKVC44KZH5NGDHS","short_pith_number":"pith:44NDRCHB","schema_version":"1.0","canonical_sha256":"e71a3888e1034795545ce2b27eb4c33c9a575d886ea780eef1df127f22308c40","source":{"kind":"arxiv","id":"hep-lat/0108014","version":1},"attestation_state":"computed","paper":{"title":"Locality and exponential error reduction in numerical lattice gauge theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Martin L\\\"uscher, Peter Weisz","submitted_at":"2001-08-13T12:44:58Z","abstract_excerpt":"In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying for increasing loop sizes. Using a multilevel scheme that exploits the locality of the theory, we show that the statistical errors in such calculations can be exponentially reduced. We explicitly demonstrate this in the SU(3) theory, for the case of the Polyakov loop correlation function, where the efficiency of the simulation is improved by many orders of ma"},"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/0108014","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-08-13T12:44:58Z","cross_cats_sorted":[],"title_canon_sha256":"bc5c6ae5af6a86cf25accb14d438341d4c45be635482613092070debe4c3e3a2","abstract_canon_sha256":"336cc78ac601d540834827912f5fd584177839fbb03cf5957865f5e0eee72f2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:20:58.061162Z","signature_b64":"7DOGnl6GwOZcnE7RS519T3X7VkpD+PWudY1wCTXmkmPMkEdD1jV4cTm1HsHNXxzrMwDMkXbHZ94RWj3WobaWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e71a3888e1034795545ce2b27eb4c33c9a575d886ea780eef1df127f22308c40","last_reissued_at":"2026-07-04T17:20:58.060819Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:20:58.060819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Locality and exponential error reduction in numerical lattice gauge theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Martin L\\\"uscher, Peter Weisz","submitted_at":"2001-08-13T12:44:58Z","abstract_excerpt":"In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying for increasing loop sizes. Using a multilevel scheme that exploits the locality of the theory, we show that the statistical errors in such calculations can be exponentially reduced. We explicitly demonstrate this in the SU(3) theory, for the case of the Polyakov loop correlation function, where the efficiency of the simulation is improved by many orders of ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0108014","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-lat/0108014/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":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/0108014","created_at":"2026-07-04T17:20:58.060875+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0108014v1","created_at":"2026-07-04T17:20:58.060875+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0108014","created_at":"2026-07-04T17:20:58.060875+00:00"},{"alias_kind":"pith_short_12","alias_value":"44NDRCHBANDZ","created_at":"2026-07-04T17:20:58.060875+00:00"},{"alias_kind":"pith_short_16","alias_value":"44NDRCHBANDZKVC4","created_at":"2026-07-04T17:20:58.060875+00:00"},{"alias_kind":"pith_short_8","alias_value":"44NDRCHB","created_at":"2026-07-04T17:20:58.060875+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2601.19520","citing_title":"Intrinsic Width of the Flux Tube as a tool to explore confining mechanisms in Lattice Gauge Theories","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2601.14967","citing_title":"Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD","ref_index":31,"is_internal_anchor":true},{"citing_arxiv_id":"2602.02436","citing_title":"Wilson loops with neural networks","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2605.00643","citing_title":"Variance reduction strategies for lattice QCD","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07226","citing_title":"Neural network interpolators for Wilson loops","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS","json":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS.json","graph_json":"https://pith.science/api/pith-number/44NDRCHBANDZKVC44KZH5NGDHS/graph.json","events_json":"https://pith.science/api/pith-number/44NDRCHBANDZKVC44KZH5NGDHS/events.json","paper":"https://pith.science/paper/44NDRCHB"},"agent_actions":{"view_html":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS","download_json":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS.json","view_paper":"https://pith.science/paper/44NDRCHB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/0108014&json=true","fetch_graph":"https://pith.science/api/pith-number/44NDRCHBANDZKVC44KZH5NGDHS/graph.json","fetch_events":"https://pith.science/api/pith-number/44NDRCHBANDZKVC44KZH5NGDHS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS/action/storage_attestation","attest_author":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS/action/author_attestation","sign_citation":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS/action/citation_signature","submit_replication":"https://pith.science/pith/44NDRCHBANDZKVC44KZH5NGDHS/action/replication_record"}},"created_at":"2026-07-04T17:20:58.060875+00:00","updated_at":"2026-07-04T17:20:58.060875+00:00"}