{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:32LIRZGTWLN2BKWE3B6CGCXWML","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":"15d63881580c0988f50eb748c9a5eb4d7cc51b4837854cc79ec64814cfcc0c72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-01T01:32:37Z","title_canon_sha256":"478acd921a45a5f44590279735e399aebc930fac265f2c2bc0454005fb4a8f24"},"schema_version":"1.0","source":{"id":"1808.00132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00132","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00132v1","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00132","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"32LIRZGTWLN2","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"32LIRZGTWLN2BKWE","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"32LIRZGT","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:d00b3c3718ecb07ad8b774d74b8fa0274cf107193e2bbcfc8950266869b81470","target":"graph","created_at":"2026-05-18T00:09:08Z","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":"Using extensive Monte Carlo simulations, we investigate the critical properties of domain walls, vortices and $\\mathbb{Z}_2$ vortices in the Ising-$O(2)$ and Ising-$O(3)\\otimes O(2)$ models. We have consider the nontrivial case when disorder in the Ising order parameter induces disorder in the continuous parameter. Such a situation arises when a domain wall becomes opaque for continuous parameter correlations. We find that in this case the vortex density at the BKT transition (or crossover) point turns out to be non-universal, while the wall density at the Ising transition remains universal, i","authors_text":"A.O. Sorokin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-01T01:32:37Z","title":"Interaction of domain walls and vortices in the two-dimensional O(2) and O(3) principal chiral models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00132","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":"sha256:714a7b31d471af73f669f427639e32f3d864c50674d33a1a242f61d799e8aa7a","target":"record","created_at":"2026-05-18T00:09:08Z","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":"15d63881580c0988f50eb748c9a5eb4d7cc51b4837854cc79ec64814cfcc0c72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-01T01:32:37Z","title_canon_sha256":"478acd921a45a5f44590279735e399aebc930fac265f2c2bc0454005fb4a8f24"},"schema_version":"1.0","source":{"id":"1808.00132","kind":"arxiv","version":1}},"canonical_sha256":"de9688e4d3b2dba0aac4d87c230af662fd3845c63c1bf6cd87f9056f8a395d48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de9688e4d3b2dba0aac4d87c230af662fd3845c63c1bf6cd87f9056f8a395d48","first_computed_at":"2026-05-18T00:09:08.685505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:08.685505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x5/Ie8D+C1er7IllOMCaSQAw3wBKOdPq+j5aVHj1e1mFL8qzJ9uU3jxpAQ3EGDE5E1HITtHxa7+E+S2HAMwICg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:08.686084Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:714a7b31d471af73f669f427639e32f3d864c50674d33a1a242f61d799e8aa7a","sha256:d00b3c3718ecb07ad8b774d74b8fa0274cf107193e2bbcfc8950266869b81470"],"state_sha256":"340c74e5970c605ec84b09ead1472be08ce361c9222bd198dcff4bbafa74be55"}