{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:USQEPQJKMPJSMPWBC6LE673SC7","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":"5cd83ca4f67546491b55b9e15f8b9b7a01ba4ab55f7d6a651165ed7905f9d47f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-31T02:54:59Z","title_canon_sha256":"631030b0d93af3cee042afb623b0785fc42ab462c6111619717676c897705e98"},"schema_version":"1.0","source":{"id":"1201.6423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6423","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6423v1","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6423","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"USQEPQJKMPJS","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"USQEPQJKMPJSMPWB","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"USQEPQJK","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:288cd489eb7d0811c9b2d502410cb67505844fdb9ed03e6fadcfb47492c35e15","target":"graph","created_at":"2026-05-18T04:03:31Z","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":"With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of the dynamic systems. The dynamic scaling behavior of the pseudo-magnetization and Binder cumulant is carefully analyzed, and the critical exponents are determined. To illustrate the dynamic effect of the topological defect, similar analysis for the the dynamic relaxation with a spin-wave initial state is also performed for comparison. We demonstrate that a lim","authors_text":"B. Zheng, N. J. Zhou, X. P. Qin","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-31T02:54:59Z","title":"Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6423","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":"sha256:4eb0b6ece793d63370db496017a6301ed79e506503e105c8a6569244417fde09","target":"record","created_at":"2026-05-18T04:03:31Z","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":"5cd83ca4f67546491b55b9e15f8b9b7a01ba4ab55f7d6a651165ed7905f9d47f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-31T02:54:59Z","title_canon_sha256":"631030b0d93af3cee042afb623b0785fc42ab462c6111619717676c897705e98"},"schema_version":"1.0","source":{"id":"1201.6423","kind":"arxiv","version":1}},"canonical_sha256":"a4a047c12a63d3263ec117964f7f7217ce8760ebede63357ad969343dea6768f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4a047c12a63d3263ec117964f7f7217ce8760ebede63357ad969343dea6768f","first_computed_at":"2026-05-18T04:03:31.547843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:31.547843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tx2+Ow/DeZED6NOEiE4wMTOvZ4XKt1J7vL1D5tInoKBdwQ496sQtZRAJU4X8W++aWAauLGQyRW+RhKO4JHFaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:31.548444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.6423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4eb0b6ece793d63370db496017a6301ed79e506503e105c8a6569244417fde09","sha256:288cd489eb7d0811c9b2d502410cb67505844fdb9ed03e6fadcfb47492c35e15"],"state_sha256":"9ae87b51b3400693df5935b522e3ac531334ebdd0f65461f9593c33aed5776ef"}