{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:N2JWM3MZKBXRCEFMBFBB6EBE6A","short_pith_number":"pith:N2JWM3MZ","schema_version":"1.0","canonical_sha256":"6e93666d99506f1110ac09421f1024f017e74e38929a605e8753a2d41e41a8a4","source":{"kind":"arxiv","id":"1711.03557","version":2},"attestation_state":"computed","paper":{"title":"Dynamic scaling of topological ordering in classical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Anders W. Sandvik, Claudio Castelnovo, Claudio Chamon, Na Xu, Roger G. Melko","submitted_at":"2017-11-09T19:00:32Z","abstract_excerpt":"We analyze scaling behaviors of simulated annealing carried out on various classical systems with topological order, obtained as appropriate limits of the toric code in two and three dimensions. We first consider the three-dimensional $\\mathbb{Z}_2$ (Ising) lattice gauge model, which exhibits a continuous topological phase transition at finite temperature. We show that a generalized Kibble-Zurek scaling ansatz applies to this transition, in spite of the absence of a local order parameter. We find perimeter-law scaling of the magnitude of a non-local order parameter (defined using Wilson loops)"},"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":"1711.03557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-09T19:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"082044a6646b5561a3ceceb7e9f6541ded7e83446b985ab87a6ac7655965645b","abstract_canon_sha256":"4900452fd98ab49a43cedce5b6dc684d21e0464bfa416e8340b0989dd98637f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:09.618869Z","signature_b64":"qlVuyjfPuVGclZcFANB5Br1bg2Y/Dl37q/i/uCsxmC080otNUgaxKS4S/x3Z8WNlIH+lS5y5Yih6MOiqfxleCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e93666d99506f1110ac09421f1024f017e74e38929a605e8753a2d41e41a8a4","last_reissued_at":"2026-05-18T00:24:09.618120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:09.618120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamic scaling of topological ordering in classical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Anders W. Sandvik, Claudio Castelnovo, Claudio Chamon, Na Xu, Roger G. Melko","submitted_at":"2017-11-09T19:00:32Z","abstract_excerpt":"We analyze scaling behaviors of simulated annealing carried out on various classical systems with topological order, obtained as appropriate limits of the toric code in two and three dimensions. We first consider the three-dimensional $\\mathbb{Z}_2$ (Ising) lattice gauge model, which exhibits a continuous topological phase transition at finite temperature. We show that a generalized Kibble-Zurek scaling ansatz applies to this transition, in spite of the absence of a local order parameter. We find perimeter-law scaling of the magnitude of a non-local order parameter (defined using Wilson loops)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03557","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.03557","created_at":"2026-05-18T00:24:09.618246+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.03557v2","created_at":"2026-05-18T00:24:09.618246+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03557","created_at":"2026-05-18T00:24:09.618246+00:00"},{"alias_kind":"pith_short_12","alias_value":"N2JWM3MZKBXR","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"N2JWM3MZKBXRCEFM","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"N2JWM3MZ","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A","json":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A.json","graph_json":"https://pith.science/api/pith-number/N2JWM3MZKBXRCEFMBFBB6EBE6A/graph.json","events_json":"https://pith.science/api/pith-number/N2JWM3MZKBXRCEFMBFBB6EBE6A/events.json","paper":"https://pith.science/paper/N2JWM3MZ"},"agent_actions":{"view_html":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A","download_json":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A.json","view_paper":"https://pith.science/paper/N2JWM3MZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.03557&json=true","fetch_graph":"https://pith.science/api/pith-number/N2JWM3MZKBXRCEFMBFBB6EBE6A/graph.json","fetch_events":"https://pith.science/api/pith-number/N2JWM3MZKBXRCEFMBFBB6EBE6A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A/action/storage_attestation","attest_author":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A/action/author_attestation","sign_citation":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A/action/citation_signature","submit_replication":"https://pith.science/pith/N2JWM3MZKBXRCEFMBFBB6EBE6A/action/replication_record"}},"created_at":"2026-05-18T00:24:09.618246+00:00","updated_at":"2026-05-18T00:24:09.618246+00:00"}