{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WSSRFG2BE75ILRWROUTJ7O2V2O","short_pith_number":"pith:WSSRFG2B","schema_version":"1.0","canonical_sha256":"b4a5129b4127fa85c6d175269fbb55d382db8f151f597524463695d36a2098f7","source":{"kind":"arxiv","id":"2403.06191","version":3},"attestation_state":"computed","paper":{"title":"Hairer-Quastel universality for KPZ -- polynomial smoothing mechanisms, general nonlinearities and Poisson noise","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Fanhao Kong, Haiyi Wang, Weijun Xu","submitted_at":"2024-03-10T12:14:24Z","abstract_excerpt":"We consider a class of weakly asymmetric continuous microscopic growth models with polynomial smoothing mechanisms, general nonlinearities and a Poisson type noise. We show that they converge to the KPZ equation after proper rescaling and re-centering, where the coupling constant depends nontrivially on all details of the smoothing and growth mechanisms in the microscopic model. This confirms some of the predictions in [HQ18], and provides a first example of Hairer-Quastel type with both a generic nonlinearity (non-polynomial) and a non-Gaussian noise.\n  The proof builds on the general discret"},"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":"2403.06191","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-03-10T12:14:24Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"d1692961c5fc2842a3b91b3e1b919b19f5752a78275ac361e4bfa425ab297d1f","abstract_canon_sha256":"c219d9b355933ce8a757a74f832a9828e5c4f9be9a0c4de58f088bf395d52c60"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:05:13.459792Z","signature_b64":"UePbtc+eDdPscTrX32GecyXw01nmmN0H3MOmXZUXIT11d7JyE5T5+XrJrKXdqT0GYEk44XnL6cqf74kqAsfuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4a5129b4127fa85c6d175269fbb55d382db8f151f597524463695d36a2098f7","last_reissued_at":"2026-07-05T09:05:13.459331Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:05:13.459331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hairer-Quastel universality for KPZ -- polynomial smoothing mechanisms, general nonlinearities and Poisson noise","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Fanhao Kong, Haiyi Wang, Weijun Xu","submitted_at":"2024-03-10T12:14:24Z","abstract_excerpt":"We consider a class of weakly asymmetric continuous microscopic growth models with polynomial smoothing mechanisms, general nonlinearities and a Poisson type noise. We show that they converge to the KPZ equation after proper rescaling and re-centering, where the coupling constant depends nontrivially on all details of the smoothing and growth mechanisms in the microscopic model. This confirms some of the predictions in [HQ18], and provides a first example of Hairer-Quastel type with both a generic nonlinearity (non-polynomial) and a non-Gaussian noise.\n  The proof builds on the general discret"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.06191","kind":"arxiv","version":3},"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/2403.06191/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":"2403.06191","created_at":"2026-07-05T09:05:13.459388+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.06191v3","created_at":"2026-07-05T09:05:13.459388+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.06191","created_at":"2026-07-05T09:05:13.459388+00:00"},{"alias_kind":"pith_short_12","alias_value":"WSSRFG2BE75I","created_at":"2026-07-05T09:05:13.459388+00:00"},{"alias_kind":"pith_short_16","alias_value":"WSSRFG2BE75ILRWR","created_at":"2026-07-05T09:05:13.459388+00:00"},{"alias_kind":"pith_short_8","alias_value":"WSSRFG2B","created_at":"2026-07-05T09:05:13.459388+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.28677","citing_title":"Weak universality for stochastic reaction-diffusion models with long-range correlated noise","ref_index":26,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O","json":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O.json","graph_json":"https://pith.science/api/pith-number/WSSRFG2BE75ILRWROUTJ7O2V2O/graph.json","events_json":"https://pith.science/api/pith-number/WSSRFG2BE75ILRWROUTJ7O2V2O/events.json","paper":"https://pith.science/paper/WSSRFG2B"},"agent_actions":{"view_html":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O","download_json":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O.json","view_paper":"https://pith.science/paper/WSSRFG2B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.06191&json=true","fetch_graph":"https://pith.science/api/pith-number/WSSRFG2BE75ILRWROUTJ7O2V2O/graph.json","fetch_events":"https://pith.science/api/pith-number/WSSRFG2BE75ILRWROUTJ7O2V2O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O/action/storage_attestation","attest_author":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O/action/author_attestation","sign_citation":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O/action/citation_signature","submit_replication":"https://pith.science/pith/WSSRFG2BE75ILRWROUTJ7O2V2O/action/replication_record"}},"created_at":"2026-07-05T09:05:13.459388+00:00","updated_at":"2026-07-05T09:05:13.459388+00:00"}