{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CQXHNT6QBRLYAFR53OSMLC6T27","short_pith_number":"pith:CQXHNT6Q","schema_version":"1.0","canonical_sha256":"142e76cfd00c5780163ddba4c58bd3d7f44ea1156118c03a4e1d9dd185057f05","source":{"kind":"arxiv","id":"1608.06556","version":2},"attestation_state":"computed","paper":{"title":"Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.PR","authors_text":"Hao Shen, Hendrik Weber","submitted_at":"2016-08-23T15:53:16Z","abstract_excerpt":"We study the Glauber dynamics of a two dimensional Blume-Capel model (or dilute Ising model) with Kac potential parametrized by $(\\beta,\\theta)$ - the \"inverse temperature\" and the \"chemical potential\". We prove that the locally averaged spin field rescales to the solution of the dynamical $\\Phi^4$ equation near a curve in the $(\\beta,\\theta)$ plane and to the solution of the dynamical $\\Phi^6$ equation near one point on this curve. Our proof relies on a discrete implementation of Da Prato-Debussche method as in a result by Mourrat-Weber but an additional coupling argument is needed to show co"},"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":"1608.06556","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-23T15:53:16Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"a9a74157c963a52774e957e79cfb7c9427166c762e9f77a48c24b61b5ba597ee","abstract_canon_sha256":"d8032b37e8307141a8924a3cf943df27d4c2fff988e0f086cec6bc4c839e216a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:36.089173Z","signature_b64":"XxJTg9DE6agegoOeWp7sFuBG72BTpsERL/hOyScf/f0z0WALhbOfX3/WVMKkptxlr91aEq5qWBKH5b3SOtvcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"142e76cfd00c5780163ddba4c58bd3d7f44ea1156118c03a4e1d9dd185057f05","last_reissued_at":"2026-05-18T00:19:36.088524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:36.088524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.PR","authors_text":"Hao Shen, Hendrik Weber","submitted_at":"2016-08-23T15:53:16Z","abstract_excerpt":"We study the Glauber dynamics of a two dimensional Blume-Capel model (or dilute Ising model) with Kac potential parametrized by $(\\beta,\\theta)$ - the \"inverse temperature\" and the \"chemical potential\". We prove that the locally averaged spin field rescales to the solution of the dynamical $\\Phi^4$ equation near a curve in the $(\\beta,\\theta)$ plane and to the solution of the dynamical $\\Phi^6$ equation near one point on this curve. Our proof relies on a discrete implementation of Da Prato-Debussche method as in a result by Mourrat-Weber but an additional coupling argument is needed to show co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06556","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":"1608.06556","created_at":"2026-05-18T00:19:36.088625+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.06556v2","created_at":"2026-05-18T00:19:36.088625+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06556","created_at":"2026-05-18T00:19:36.088625+00:00"},{"alias_kind":"pith_short_12","alias_value":"CQXHNT6QBRLY","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CQXHNT6QBRLYAFR5","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CQXHNT6Q","created_at":"2026-05-18T12:30:09.641336+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/CQXHNT6QBRLYAFR53OSMLC6T27","json":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27.json","graph_json":"https://pith.science/api/pith-number/CQXHNT6QBRLYAFR53OSMLC6T27/graph.json","events_json":"https://pith.science/api/pith-number/CQXHNT6QBRLYAFR53OSMLC6T27/events.json","paper":"https://pith.science/paper/CQXHNT6Q"},"agent_actions":{"view_html":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27","download_json":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27.json","view_paper":"https://pith.science/paper/CQXHNT6Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.06556&json=true","fetch_graph":"https://pith.science/api/pith-number/CQXHNT6QBRLYAFR53OSMLC6T27/graph.json","fetch_events":"https://pith.science/api/pith-number/CQXHNT6QBRLYAFR53OSMLC6T27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27/action/storage_attestation","attest_author":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27/action/author_attestation","sign_citation":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27/action/citation_signature","submit_replication":"https://pith.science/pith/CQXHNT6QBRLYAFR53OSMLC6T27/action/replication_record"}},"created_at":"2026-05-18T00:19:36.088625+00:00","updated_at":"2026-05-18T00:19:36.088625+00:00"}