{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:6ZIDXL45OGXELVXSM3JCDPRW3M","short_pith_number":"pith:6ZIDXL45","schema_version":"1.0","canonical_sha256":"f6503baf9d71ae45d6f266d221be36db0472d754b7e4718027222daf4920f3f5","source":{"kind":"arxiv","id":"1208.4991","version":1},"attestation_state":"computed","paper":{"title":"Critical behaviour of the randomly stirred dynamical Potts model: Novel universality class and effects of compressibility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. S. Kapustin, N. V. Antonov","submitted_at":"2012-08-24T14:38:24Z","abstract_excerpt":"Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the Ashkin-Teller-Potts model, coupled to a random velocity field with prescribed statistics, is considered. The mixing is modelled by Kraichnan's rapid-change ensemble: time-decorrelated Gaussian velocity field with the power-like spectrum $\\propto k^{-d-\\xi}$. It is shown that, depending on the symmetry group of the underlying Potts model, the degree of compressibil"},"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":"1208.4991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-08-24T14:38:24Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"bdaf876ccc482731a20c12d69ef42c4135aeb206996493f3d0e29989df35c373","abstract_canon_sha256":"6e30c9f17d86b131fcad9972acfd6f5f560e1bcd90d2501f7063c2b49478b36f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:00.372336Z","signature_b64":"VDIRlrsHqgZMOC0oUDOn/sFHjC/EsJpcTx4Nj8IeQEFa9UlLw2QYZwXP/5K8bAg2yHgJ8ch5Hp9FpOCiyJVLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6503baf9d71ae45d6f266d221be36db0472d754b7e4718027222daf4920f3f5","last_reissued_at":"2026-05-18T02:21:00.371607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:00.371607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical behaviour of the randomly stirred dynamical Potts model: Novel universality class and effects of compressibility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. S. Kapustin, N. V. Antonov","submitted_at":"2012-08-24T14:38:24Z","abstract_excerpt":"Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the Ashkin-Teller-Potts model, coupled to a random velocity field with prescribed statistics, is considered. The mixing is modelled by Kraichnan's rapid-change ensemble: time-decorrelated Gaussian velocity field with the power-like spectrum $\\propto k^{-d-\\xi}$. It is shown that, depending on the symmetry group of the underlying Potts model, the degree of compressibil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4991","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":"1208.4991","created_at":"2026-05-18T02:21:00.371709+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.4991v1","created_at":"2026-05-18T02:21:00.371709+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4991","created_at":"2026-05-18T02:21:00.371709+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZIDXL45OGXE","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZIDXL45OGXELVXS","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZIDXL45","created_at":"2026-05-18T12:26:56.085431+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/6ZIDXL45OGXELVXSM3JCDPRW3M","json":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M.json","graph_json":"https://pith.science/api/pith-number/6ZIDXL45OGXELVXSM3JCDPRW3M/graph.json","events_json":"https://pith.science/api/pith-number/6ZIDXL45OGXELVXSM3JCDPRW3M/events.json","paper":"https://pith.science/paper/6ZIDXL45"},"agent_actions":{"view_html":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M","download_json":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M.json","view_paper":"https://pith.science/paper/6ZIDXL45","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.4991&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZIDXL45OGXELVXSM3JCDPRW3M/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZIDXL45OGXELVXSM3JCDPRW3M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M/action/storage_attestation","attest_author":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M/action/author_attestation","sign_citation":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M/action/citation_signature","submit_replication":"https://pith.science/pith/6ZIDXL45OGXELVXSM3JCDPRW3M/action/replication_record"}},"created_at":"2026-05-18T02:21:00.371709+00:00","updated_at":"2026-05-18T02:21:00.371709+00:00"}