{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:P2EUMCN4DPW6IPTOQZ7PZO7K3M","short_pith_number":"pith:P2EUMCN4","schema_version":"1.0","canonical_sha256":"7e894609bc1bede43e6e867efcbbeadb37bfccbaa115cdd9656fb7099ffb6a3b","source":{"kind":"arxiv","id":"0704.1472","version":2},"attestation_state":"computed","paper":{"title":"Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Anders W. Sandvik, Jie Lou, Leon Balents","submitted_at":"2007-04-11T19:03:23Z","abstract_excerpt":"We study the three-dimensional XY model with a Z_q anisotropic term. At temperatures T < Tc this dangerously irrelevant perturbation is relevant only above a length scale Lambda, which diverges as a power of the correlation length; Lambda ~ xi^a_q. Below Lambda the order parameter is U(1) symmetric. We derive the full scaling function controlling the emergence of U(1) symmetry and use Monte Carlo results to extract the exponent a_q for q=4,...,8. We find that a_q = a_4 (q/4)^2, with a_4 only marginally larger than 1. We discuss these results in the context of U(1) symmetry at \"deconfined\" quan"},"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":"0704.1472","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2007-04-11T19:03:23Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b154bde71d387155c675536f93c8baa4468c05ea213d669abd96be6cf8520544","abstract_canon_sha256":"0f5c9cd83eaee8f5895b72da330494bbdebf292a358df0c52ee967345ff1416c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:29.021722Z","signature_b64":"k9pR2ZkmA6gxdDgqaZUdk4cmevacUVlwq/5Ujv0rW3WvZUiepmqS56PWaic/1dQ8F9pPHXtAajrkG1PxOgExAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e894609bc1bede43e6e867efcbbeadb37bfccbaa115cdd9656fb7099ffb6a3b","last_reissued_at":"2026-05-18T04:39:29.021209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:29.021209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Anders W. Sandvik, Jie Lou, Leon Balents","submitted_at":"2007-04-11T19:03:23Z","abstract_excerpt":"We study the three-dimensional XY model with a Z_q anisotropic term. At temperatures T < Tc this dangerously irrelevant perturbation is relevant only above a length scale Lambda, which diverges as a power of the correlation length; Lambda ~ xi^a_q. Below Lambda the order parameter is U(1) symmetric. We derive the full scaling function controlling the emergence of U(1) symmetry and use Monte Carlo results to extract the exponent a_q for q=4,...,8. We find that a_q = a_4 (q/4)^2, with a_4 only marginally larger than 1. We discuss these results in the context of U(1) symmetry at \"deconfined\" quan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.1472","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":"0704.1472","created_at":"2026-05-18T04:39:29.021296+00:00"},{"alias_kind":"arxiv_version","alias_value":"0704.1472v2","created_at":"2026-05-18T04:39:29.021296+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.1472","created_at":"2026-05-18T04:39:29.021296+00:00"},{"alias_kind":"pith_short_12","alias_value":"P2EUMCN4DPW6","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"P2EUMCN4DPW6IPTO","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"P2EUMCN4","created_at":"2026-05-18T12:25:55.427421+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/P2EUMCN4DPW6IPTOQZ7PZO7K3M","json":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M.json","graph_json":"https://pith.science/api/pith-number/P2EUMCN4DPW6IPTOQZ7PZO7K3M/graph.json","events_json":"https://pith.science/api/pith-number/P2EUMCN4DPW6IPTOQZ7PZO7K3M/events.json","paper":"https://pith.science/paper/P2EUMCN4"},"agent_actions":{"view_html":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M","download_json":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M.json","view_paper":"https://pith.science/paper/P2EUMCN4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0704.1472&json=true","fetch_graph":"https://pith.science/api/pith-number/P2EUMCN4DPW6IPTOQZ7PZO7K3M/graph.json","fetch_events":"https://pith.science/api/pith-number/P2EUMCN4DPW6IPTOQZ7PZO7K3M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M/action/storage_attestation","attest_author":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M/action/author_attestation","sign_citation":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M/action/citation_signature","submit_replication":"https://pith.science/pith/P2EUMCN4DPW6IPTOQZ7PZO7K3M/action/replication_record"}},"created_at":"2026-05-18T04:39:29.021296+00:00","updated_at":"2026-05-18T04:39:29.021296+00:00"}