{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2QSYQQLDQEOSA3AVO2SAP2P72V","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":"af74b1e9a15645346189f1ce72f05fbf95c124038cdd1d8f1d999957b63aacfe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-18T12:55:43Z","title_canon_sha256":"f4189db3bb50acda42492a8d7bb24222bb1b7a77239bd932db06997f6e52c225"},"schema_version":"1.0","source":{"id":"1405.4497","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4497","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4497v3","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4497","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"2QSYQQLDQEOS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2QSYQQLDQEOSA3AV","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2QSYQQLD","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:1fe3c3d9bf7d63029cdb62a66cd2b57744fe298e8b8b5c6fafb72cdce98837d7","target":"graph","created_at":"2026-05-18T02:33:25Z","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":"A quantitative measure of convergence to effective ergodicity, the Thirumalai-Mountain (TM) metric, is applied to Metropolis and Glauber single-spin-flip dynamics. In computing this measure, finite lattice ensemble averages are obtained using the exact solution for a one dimensional Ising model, whereas the time averages are computed with Monte Carlo simulations. The time evolution of the effective ergodic convergence of Ising magnetization is monitored. By this approach, diffusion regimes of the effective ergodic convergence of magnetization are identified for different lattice sizes, nonzero","authors_text":"Mehmet S\\\"uzen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-18T12:55:43Z","title":"Effective ergodicity in single-spin-flip dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4497","kind":"arxiv","version":3},"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:ae633f77518f5bffe49870dede2857e06a4967297f92b4bf51ee174873eadae9","target":"record","created_at":"2026-05-18T02:33:25Z","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":"af74b1e9a15645346189f1ce72f05fbf95c124038cdd1d8f1d999957b63aacfe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-18T12:55:43Z","title_canon_sha256":"f4189db3bb50acda42492a8d7bb24222bb1b7a77239bd932db06997f6e52c225"},"schema_version":"1.0","source":{"id":"1405.4497","kind":"arxiv","version":3}},"canonical_sha256":"d425884163811d206c1576a407e9ffd556c1dadb2c8ce382350f8354e7829f05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d425884163811d206c1576a407e9ffd556c1dadb2c8ce382350f8354e7829f05","first_computed_at":"2026-05-18T02:33:25.274355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:25.274355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"scUkW6NwiQrkYxRrnS8A08J4oUCUMcWLpHP31kFR8c6KQvxXiW+2dUxcBTBbFJE6CjyI8XR9iLZiqYOtko7bCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:25.274993Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4497","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae633f77518f5bffe49870dede2857e06a4967297f92b4bf51ee174873eadae9","sha256:1fe3c3d9bf7d63029cdb62a66cd2b57744fe298e8b8b5c6fafb72cdce98837d7"],"state_sha256":"ad325df48e2be662e27ac74c2e0d4786d09a80cdaf0c3433d3890a7abd9182e4"}