{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:EDD43M7NVIKBBOTDNBI2EKG3Q3","short_pith_number":"pith:EDD43M7N","schema_version":"1.0","canonical_sha256":"20c7cdb3edaa1410ba636851a228db86d126e4f6da92a687d081fe6303c9f598","source":{"kind":"arxiv","id":"1307.0319","version":1},"attestation_state":"computed","paper":{"title":"Correlation functions, universal ratios and Goldstone mode singularities in n-vector models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Kaupuzs, J. Rimsans, R. V. N. Melnik","submitted_at":"2013-07-01T10:25:50Z","abstract_excerpt":"Correlation functions in the O(n) models below the critical temperature are considered. Based on Monte Carlo (MC) data, we confirm the fact stated earlier by Engels and Vogt, that the transverse two-plane correlation function of the O(4) model for lattice sizes about L=120 and small external fields h is very well described by a Gaussian approximation. However, we show that fits of not lower quality are provided by certain non-Gaussian approximation. We have also tested larger lattice sizes, up to L=512. The Fourier-transformed transverse and longitudinal two-point correlation functions have Go"},"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":"1307.0319","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-07-01T10:25:50Z","cross_cats_sorted":[],"title_canon_sha256":"983606d6ab6df78b373e51f0e4e35290c79ca2c41c297b8bce796f2fbc68c3ec","abstract_canon_sha256":"7f98aba0afcd9fd5cfabbbc0d5829beae8c19f43175c2900be6f1d416a4b5348"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:13.531565Z","signature_b64":"JRi9F5Och2SvLaU3JxGqHtd4GWJICJSIpSMJjrlWb5078FPsalBpfzCL2bD6WRkuobaL/VNPcmvthu8RKlk0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20c7cdb3edaa1410ba636851a228db86d126e4f6da92a687d081fe6303c9f598","last_reissued_at":"2026-05-18T01:08:13.531130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:13.531130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlation functions, universal ratios and Goldstone mode singularities in n-vector models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Kaupuzs, J. Rimsans, R. V. N. Melnik","submitted_at":"2013-07-01T10:25:50Z","abstract_excerpt":"Correlation functions in the O(n) models below the critical temperature are considered. Based on Monte Carlo (MC) data, we confirm the fact stated earlier by Engels and Vogt, that the transverse two-plane correlation function of the O(4) model for lattice sizes about L=120 and small external fields h is very well described by a Gaussian approximation. However, we show that fits of not lower quality are provided by certain non-Gaussian approximation. We have also tested larger lattice sizes, up to L=512. The Fourier-transformed transverse and longitudinal two-point correlation functions have Go"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0319","kind":"arxiv","version":1},"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":"1307.0319","created_at":"2026-05-18T01:08:13.531203+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.0319v1","created_at":"2026-05-18T01:08:13.531203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0319","created_at":"2026-05-18T01:08:13.531203+00:00"},{"alias_kind":"pith_short_12","alias_value":"EDD43M7NVIKB","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"EDD43M7NVIKBBOTD","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"EDD43M7N","created_at":"2026-05-18T12:27:43.054852+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/EDD43M7NVIKBBOTDNBI2EKG3Q3","json":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3.json","graph_json":"https://pith.science/api/pith-number/EDD43M7NVIKBBOTDNBI2EKG3Q3/graph.json","events_json":"https://pith.science/api/pith-number/EDD43M7NVIKBBOTDNBI2EKG3Q3/events.json","paper":"https://pith.science/paper/EDD43M7N"},"agent_actions":{"view_html":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3","download_json":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3.json","view_paper":"https://pith.science/paper/EDD43M7N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.0319&json=true","fetch_graph":"https://pith.science/api/pith-number/EDD43M7NVIKBBOTDNBI2EKG3Q3/graph.json","fetch_events":"https://pith.science/api/pith-number/EDD43M7NVIKBBOTDNBI2EKG3Q3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3/action/storage_attestation","attest_author":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3/action/author_attestation","sign_citation":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3/action/citation_signature","submit_replication":"https://pith.science/pith/EDD43M7NVIKBBOTDNBI2EKG3Q3/action/replication_record"}},"created_at":"2026-05-18T01:08:13.531203+00:00","updated_at":"2026-05-18T01:08:13.531203+00:00"}