{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:FKTOCYU6FNZPXVQCP624HHMMP7","short_pith_number":"pith:FKTOCYU6","schema_version":"1.0","canonical_sha256":"2aa6e1629e2b72fbd6027fb5c39d8c7fde731fd16aa2663588fb3a75c1821d44","source":{"kind":"arxiv","id":"cond-mat/0301499","version":2},"attestation_state":"computed","paper":{"title":"Criticality versus q in the 2+1-dimensional $Z_q$ clock model","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Sudbo, J. Hove","submitted_at":"2003-01-25T13:15:30Z","abstract_excerpt":"Using Monte Carlo simulations we have studied the $d=3$ $Z_q$ clock model in two different representations, the phase-representation and the loop/dumbbell-gas (LDG) representation. We find that for $q \\ge 5$ the critical exponents $\\alpha$ and $\\nu$ for the specific heat and the correlation length, respectively, take on values corresponding to the case $q\\to \\infty$, where $\\lim_{q \\to \\infty} Z_q = 3DXY$ model, i.e. in terms of critical properties the limiting behaviour is reached already at $q=5$."},"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":"cond-mat/0301499","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-01-25T13:15:30Z","cross_cats_sorted":[],"title_canon_sha256":"e0de980aa66ceba309ba08a907a29fdd6fd6f8deb56271a20c6088609e7aea22","abstract_canon_sha256":"e60e1da93d2746c87c393a543acc138064f6a3f68bca9cd25658628eaa256ea9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:34:26.382124Z","signature_b64":"6M6tdisa2+zZSNURRO3cdroJmUn6baDehGdzo/4Hta80oMidxCmC5rFETNQyz4R1LnNn1ms2GkXUvz0AMmYABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa6e1629e2b72fbd6027fb5c39d8c7fde731fd16aa2663588fb3a75c1821d44","last_reissued_at":"2026-07-04T15:34:26.381722Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:34:26.381722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Criticality versus q in the 2+1-dimensional $Z_q$ clock model","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Sudbo, J. Hove","submitted_at":"2003-01-25T13:15:30Z","abstract_excerpt":"Using Monte Carlo simulations we have studied the $d=3$ $Z_q$ clock model in two different representations, the phase-representation and the loop/dumbbell-gas (LDG) representation. We find that for $q \\ge 5$ the critical exponents $\\alpha$ and $\\nu$ for the specific heat and the correlation length, respectively, take on values corresponding to the case $q\\to \\infty$, where $\\lim_{q \\to \\infty} Z_q = 3DXY$ model, i.e. in terms of critical properties the limiting behaviour is reached already at $q=5$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0301499","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0301499/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/0301499","created_at":"2026-07-04T15:34:26.381789+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0301499v2","created_at":"2026-07-04T15:34:26.381789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0301499","created_at":"2026-07-04T15:34:26.381789+00:00"},{"alias_kind":"pith_short_12","alias_value":"FKTOCYU6FNZP","created_at":"2026-07-04T15:34:26.381789+00:00"},{"alias_kind":"pith_short_16","alias_value":"FKTOCYU6FNZPXVQC","created_at":"2026-07-04T15:34:26.381789+00:00"},{"alias_kind":"pith_short_8","alias_value":"FKTOCYU6","created_at":"2026-07-04T15:34:26.381789+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.19265","citing_title":"Eliminating leading and subleading corrections to scaling in the three-dimensional XY universality class","ref_index":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7","json":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7.json","graph_json":"https://pith.science/api/pith-number/FKTOCYU6FNZPXVQCP624HHMMP7/graph.json","events_json":"https://pith.science/api/pith-number/FKTOCYU6FNZPXVQCP624HHMMP7/events.json","paper":"https://pith.science/paper/FKTOCYU6"},"agent_actions":{"view_html":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7","download_json":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7.json","view_paper":"https://pith.science/paper/FKTOCYU6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0301499&json=true","fetch_graph":"https://pith.science/api/pith-number/FKTOCYU6FNZPXVQCP624HHMMP7/graph.json","fetch_events":"https://pith.science/api/pith-number/FKTOCYU6FNZPXVQCP624HHMMP7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7/action/storage_attestation","attest_author":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7/action/author_attestation","sign_citation":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7/action/citation_signature","submit_replication":"https://pith.science/pith/FKTOCYU6FNZPXVQCP624HHMMP7/action/replication_record"}},"created_at":"2026-07-04T15:34:26.381789+00:00","updated_at":"2026-07-04T15:34:26.381789+00:00"}