{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:2G6FS6VDCZI43MAZ32Q5I3EJPY","short_pith_number":"pith:2G6FS6VD","schema_version":"1.0","canonical_sha256":"d1bc597aa31651cdb019dea1d46c897e08ba0e9e22d1472cbaa273960ab032bc","source":{"kind":"arxiv","id":"2302.13666","version":6},"attestation_state":"computed","paper":{"title":"Correlated Noise and Critical Dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Harukuni Ikeda","submitted_at":"2023-02-27T11:05:09Z","abstract_excerpt":"In equilibrium, the Mermin-Wagner theorem prohibits the continuous symmetry breaking for all dimensions $d\\leq 2$. In this work, we discuss that this limitation can be circumvented in non-equilibrium systems driven by the spatio-temporally long-range anticorrelated noise. We first compute the lower and upper critical dimensions of the $O(n)$ model driven by the spatio-temporally correlated noise by means of the dimensional analysis. Next, we consider the spherical model, which corresponds to the large $n$ limit of the $O(n)$ model and allows us to compute the critical dimensions and critical e"},"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":"2302.13666","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-02-27T11:05:09Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"71955f2bd561483678cad95297fee57116ff4de2e1c0233afc92365385d064c3","abstract_canon_sha256":"e36e3380e978c2613f0bd93f5a5cb936f9fd1ddd43bcd5896bb817d12b0ab5cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:27:23.871069Z","signature_b64":"vmWgqP5hugNjZPMXxHV9yJE18N1WqHmTINGpuaWAAwTJjtsnPsnWMxVSLzkaIL/dSUOXqajzgNcrVBQy+1rDAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1bc597aa31651cdb019dea1d46c897e08ba0e9e22d1472cbaa273960ab032bc","last_reissued_at":"2026-07-05T07:27:23.870583Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:27:23.870583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlated Noise and Critical Dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Harukuni Ikeda","submitted_at":"2023-02-27T11:05:09Z","abstract_excerpt":"In equilibrium, the Mermin-Wagner theorem prohibits the continuous symmetry breaking for all dimensions $d\\leq 2$. In this work, we discuss that this limitation can be circumvented in non-equilibrium systems driven by the spatio-temporally long-range anticorrelated noise. We first compute the lower and upper critical dimensions of the $O(n)$ model driven by the spatio-temporally correlated noise by means of the dimensional analysis. Next, we consider the spherical model, which corresponds to the large $n$ limit of the $O(n)$ model and allows us to compute the critical dimensions and critical e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.13666","kind":"arxiv","version":6},"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/2302.13666/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":"2302.13666","created_at":"2026-07-05T07:27:23.870641+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.13666v6","created_at":"2026-07-05T07:27:23.870641+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.13666","created_at":"2026-07-05T07:27:23.870641+00:00"},{"alias_kind":"pith_short_12","alias_value":"2G6FS6VDCZI4","created_at":"2026-07-05T07:27:23.870641+00:00"},{"alias_kind":"pith_short_16","alias_value":"2G6FS6VDCZI43MAZ","created_at":"2026-07-05T07:27:23.870641+00:00"},{"alias_kind":"pith_short_8","alias_value":"2G6FS6VD","created_at":"2026-07-05T07:27:23.870641+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/2G6FS6VDCZI43MAZ32Q5I3EJPY","json":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY.json","graph_json":"https://pith.science/api/pith-number/2G6FS6VDCZI43MAZ32Q5I3EJPY/graph.json","events_json":"https://pith.science/api/pith-number/2G6FS6VDCZI43MAZ32Q5I3EJPY/events.json","paper":"https://pith.science/paper/2G6FS6VD"},"agent_actions":{"view_html":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY","download_json":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY.json","view_paper":"https://pith.science/paper/2G6FS6VD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.13666&json=true","fetch_graph":"https://pith.science/api/pith-number/2G6FS6VDCZI43MAZ32Q5I3EJPY/graph.json","fetch_events":"https://pith.science/api/pith-number/2G6FS6VDCZI43MAZ32Q5I3EJPY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY/action/storage_attestation","attest_author":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY/action/author_attestation","sign_citation":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY/action/citation_signature","submit_replication":"https://pith.science/pith/2G6FS6VDCZI43MAZ32Q5I3EJPY/action/replication_record"}},"created_at":"2026-07-05T07:27:23.870641+00:00","updated_at":"2026-07-05T07:27:23.870641+00:00"}