{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:FFBUJRSQSATZZH7MA7RHXF4M35","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":"fe744c17fddbaaa27a10343ee9e040e6a4a5907feb400e794466ec8a2b2eb4f0","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1997-11-13T15:12:54Z","title_canon_sha256":"bb9a91d8957929800abcae9ec0070825991164b17b1a46f4fc18a3e0ad905189"},"schema_version":"1.0","source":{"id":"hep-lat/9711024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9711024","created_at":"2026-07-04T16:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9711024v2","created_at":"2026-07-04T16:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9711024","created_at":"2026-07-04T16:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"FFBUJRSQSATZ","created_at":"2026-07-04T16:04:49Z"},{"alias_kind":"pith_short_16","alias_value":"FFBUJRSQSATZZH7M","created_at":"2026-07-04T16:04:49Z"},{"alias_kind":"pith_short_8","alias_value":"FFBUJRSQ","created_at":"2026-07-04T16:04:49Z"}],"graph_snapshots":[{"event_id":"sha256:b8d6cac1d2bc497d6a9d43929873ed8089220fdd032042f3f959a9074465dc29","target":"graph","created_at":"2026-07-04T16:04:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-lat/9711024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study numerically the so-called fundamental modular region Lambda, a region free of Gribov copies, in the minimal Landau gauge for pure SU(2) lattice gauge theory. To this end we evaluate the influence of Gribov copies on several quantities --- such as the smallest eigenvalue of the Faddeev-Popov matrix, the third and the fourth derivatives of the minimizing function, and the so-called horizon function --- which are used to characterize the region Lambda. Simulations are done at four different values of the coupling: beta = 0, 0.8, 1.6, 2.7, and for volumes up to 16^4. We find that typical ","authors_text":"Attilio Cucchieri (University of Rome Tor Vergata)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1997-11-13T15:12:54Z","title":"Numerical Study of the Fundamental Modular Region in the Minimal Landau Gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9711024","kind":"arxiv","version":2},"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":"sha256:25edadd130fc3e361dae3ae5404879c851a7b1579a40fd2bc9a686574b7c875a","target":"record","created_at":"2026-07-04T16:04:49Z","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":"fe744c17fddbaaa27a10343ee9e040e6a4a5907feb400e794466ec8a2b2eb4f0","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1997-11-13T15:12:54Z","title_canon_sha256":"bb9a91d8957929800abcae9ec0070825991164b17b1a46f4fc18a3e0ad905189"},"schema_version":"1.0","source":{"id":"hep-lat/9711024","kind":"arxiv","version":2}},"canonical_sha256":"294344c65090279c9fec07e27b978cdf6d61032a0da7221b5330fc502a8d857f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"294344c65090279c9fec07e27b978cdf6d61032a0da7221b5330fc502a8d857f","first_computed_at":"2026-07-04T16:04:49.662416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:04:49.662416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xg1vxQyvpnDIH13zRLqGrTtSNxmeuzeoLIrTLd7dDSH5X2L3g3SEyPTX1ecNu87PArUPOv/prdb3W0Q7X5y3DA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:04:49.662746Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9711024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25edadd130fc3e361dae3ae5404879c851a7b1579a40fd2bc9a686574b7c875a","sha256:b8d6cac1d2bc497d6a9d43929873ed8089220fdd032042f3f959a9074465dc29"],"state_sha256":"d23f2dd37a78483f2fd2d246f33ab5ab3731fa282216d15c1f92a65d7af84daf"}