{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:BQAHKK7DNXTNCNIVZ623ATT77V","short_pith_number":"pith:BQAHKK7D","canonical_record":{"source":{"id":"hep-lat/0403001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2004-03-01T10:19:26Z","cross_cats_sorted":[],"title_canon_sha256":"238c2bdab32a6e3abcffaa460dc9c4910c1aaac58a9fe89ec63f631ca82d1274","abstract_canon_sha256":"1fbf924429713c7be9cb7efb54f4b2ab1ef33679aac85edd827628ce1c5d93e9"},"schema_version":"1.0"},"canonical_sha256":"0c00752be36de6d13515cfb5b04e7ffd547355550d1c20e74eb04ad4d34f7c8d","source":{"kind":"arxiv","id":"hep-lat/0403001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0403001","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0403001v1","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0403001","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"BQAHKK7DNXTN","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"pith_short_16","alias_value":"BQAHKK7DNXTNCNIV","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"pith_short_8","alias_value":"BQAHKK7D","created_at":"2026-07-04T16:47:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:BQAHKK7DNXTNCNIVZ623ATT77V","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/0403001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2004-03-01T10:19:26Z","cross_cats_sorted":[],"title_canon_sha256":"238c2bdab32a6e3abcffaa460dc9c4910c1aaac58a9fe89ec63f631ca82d1274","abstract_canon_sha256":"1fbf924429713c7be9cb7efb54f4b2ab1ef33679aac85edd827628ce1c5d93e9"},"schema_version":"1.0"},"canonical_sha256":"0c00752be36de6d13515cfb5b04e7ffd547355550d1c20e74eb04ad4d34f7c8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:47:59.613377Z","signature_b64":"mw7eTqzRaUjE8WJ6H24bbbWxaHpwu6F6NZX8jA/+FQG9/1YjfZ2S4s4jDjb4PdShk7je/4Ar8S2W28HbFmNuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c00752be36de6d13515cfb5b04e7ffd547355550d1c20e74eb04ad4d34f7c8d","last_reissued_at":"2026-07-04T16:47:59.613023Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:47:59.613023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/0403001","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":"2026-07-04T16:47:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"crbu8Jw0DuU+xrLSEIaJES61z/SutLmZBJJxrWO5LbkK6UbSkRxw/hysS73/nSEGu5re3lOOekWbkGLEhHQkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T20:15:50.748242Z"},"content_sha256":"7fcc314c344cb32a8f975a6d9d6de6de0ae8c5fe3b146778e7cd12c371b5fe00","schema_version":"1.0","event_id":"sha256:7fcc314c344cb32a8f975a6d9d6de6de0ae8c5fe3b146778e7cd12c371b5fe00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:BQAHKK7DNXTNCNIVZ623ATT77V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical slowing down of topological modes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Ettore Vicari, Gian Mario Manca, Luigi Del Debbio","submitted_at":"2004-03-01T10:19:26Z","abstract_excerpt":"We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2-d CP^(N-1) models. We show that the topological modes experience a critical slowing down that is much more severe than the one of the quasi-Gaussian modes relevant to the magnetic susceptibility, which is characterized by $\\tau_{\\rm mag} \\sim \\xi^z$ with $z\\approx 2$. We argue that this may be a general feature of Monte Carlo simulations of lattice theories with non-trivial topological properties, such as QCD, as also suggested by recent Monte Carlo simulations of 4-d SU(N) lattice ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0403001","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/0403001/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:47:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DUfBSfiM5S28xLM0WKdWbkA2vRGCC8/B96j/CCwJbW+9M3cWmpgyPJqYn3xn6zcbJT8jzcR5EYLvwGxiua5uAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T20:15:50.748739Z"},"content_sha256":"e1a22289554b31f8871495fe52c0b84dcde85abaa40efd2221f8dfab25c8cbfc","schema_version":"1.0","event_id":"sha256:e1a22289554b31f8871495fe52c0b84dcde85abaa40efd2221f8dfab25c8cbfc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQAHKK7DNXTNCNIVZ623ATT77V/bundle.json","state_url":"https://pith.science/pith/BQAHKK7DNXTNCNIVZ623ATT77V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQAHKK7DNXTNCNIVZ623ATT77V/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":"2026-08-03T20:15:50Z","links":{"resolver":"https://pith.science/pith/BQAHKK7DNXTNCNIVZ623ATT77V","bundle":"https://pith.science/pith/BQAHKK7DNXTNCNIVZ623ATT77V/bundle.json","state":"https://pith.science/pith/BQAHKK7DNXTNCNIVZ623ATT77V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQAHKK7DNXTNCNIVZ623ATT77V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:BQAHKK7DNXTNCNIVZ623ATT77V","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":"1fbf924429713c7be9cb7efb54f4b2ab1ef33679aac85edd827628ce1c5d93e9","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2004-03-01T10:19:26Z","title_canon_sha256":"238c2bdab32a6e3abcffaa460dc9c4910c1aaac58a9fe89ec63f631ca82d1274"},"schema_version":"1.0","source":{"id":"hep-lat/0403001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0403001","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0403001v1","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0403001","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"BQAHKK7DNXTN","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"pith_short_16","alias_value":"BQAHKK7DNXTNCNIV","created_at":"2026-07-04T16:47:59Z"},{"alias_kind":"pith_short_8","alias_value":"BQAHKK7D","created_at":"2026-07-04T16:47:59Z"}],"graph_snapshots":[{"event_id":"sha256:e1a22289554b31f8871495fe52c0b84dcde85abaa40efd2221f8dfab25c8cbfc","target":"graph","created_at":"2026-07-04T16:47:59Z","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/0403001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2-d CP^(N-1) models. We show that the topological modes experience a critical slowing down that is much more severe than the one of the quasi-Gaussian modes relevant to the magnetic susceptibility, which is characterized by $\\tau_{\\rm mag} \\sim \\xi^z$ with $z\\approx 2$. We argue that this may be a general feature of Monte Carlo simulations of lattice theories with non-trivial topological properties, such as QCD, as also suggested by recent Monte Carlo simulations of 4-d SU(N) lattice ga","authors_text":"Ettore Vicari, Gian Mario Manca, Luigi Del Debbio","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2004-03-01T10:19:26Z","title":"Critical slowing down of topological modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0403001","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":"sha256:7fcc314c344cb32a8f975a6d9d6de6de0ae8c5fe3b146778e7cd12c371b5fe00","target":"record","created_at":"2026-07-04T16:47:59Z","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":"1fbf924429713c7be9cb7efb54f4b2ab1ef33679aac85edd827628ce1c5d93e9","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2004-03-01T10:19:26Z","title_canon_sha256":"238c2bdab32a6e3abcffaa460dc9c4910c1aaac58a9fe89ec63f631ca82d1274"},"schema_version":"1.0","source":{"id":"hep-lat/0403001","kind":"arxiv","version":1}},"canonical_sha256":"0c00752be36de6d13515cfb5b04e7ffd547355550d1c20e74eb04ad4d34f7c8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c00752be36de6d13515cfb5b04e7ffd547355550d1c20e74eb04ad4d34f7c8d","first_computed_at":"2026-07-04T16:47:59.613023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:47:59.613023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mw7eTqzRaUjE8WJ6H24bbbWxaHpwu6F6NZX8jA/+FQG9/1YjfZ2S4s4jDjb4PdShk7je/4Ar8S2W28HbFmNuDw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:47:59.613377Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0403001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fcc314c344cb32a8f975a6d9d6de6de0ae8c5fe3b146778e7cd12c371b5fe00","sha256:e1a22289554b31f8871495fe52c0b84dcde85abaa40efd2221f8dfab25c8cbfc"],"state_sha256":"129c7dd2fa5de78a28ff42778a895448e0bc719d795698b5461cf71b9383491f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"453C1/P8wOtx7zF90Q4fbApkyVKp5n29KMhzpER8HM2FEAyL6HYnqGQSDIkDiGF9NY/7x2e2GmA0yCrJm0BWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T20:15:50.753701Z","bundle_sha256":"4d0cc78342d25893d6462d298312383e6ad3e0e60dfbb79c6f255f33be4ad1b2"}}