{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FZNBYJTMMJNLZI4AO2O6NEDWEN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f8eeed51b25969d732631c1ddc60de475ef091ab995bb115001b9f5d5dce31b0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-23T00:03:49Z","title_canon_sha256":"4d82d68ec1670c684fb10f30b98d959859b387b4b0e29de7d2052052f4f51b1d"},"schema_version":"1.0","source":{"id":"2503.17888","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.17888","created_at":"2026-07-05T10:37:58Z"},{"alias_kind":"arxiv_version","alias_value":"2503.17888v1","created_at":"2026-07-05T10:37:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.17888","created_at":"2026-07-05T10:37:58Z"},{"alias_kind":"pith_short_12","alias_value":"FZNBYJTMMJNL","created_at":"2026-07-05T10:37:58Z"},{"alias_kind":"pith_short_16","alias_value":"FZNBYJTMMJNLZI4A","created_at":"2026-07-05T10:37:58Z"},{"alias_kind":"pith_short_8","alias_value":"FZNBYJTM","created_at":"2026-07-05T10:37:58Z"}],"graph_snapshots":[{"event_id":"sha256:bf8799cf125ec27ef21dee547ef02d4540264f31b325d95a3d53c3a389dce4d2","target":"graph","created_at":"2026-07-05T10:37:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.17888/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit a result of Hairer-Shen on polymer-type approximations for the stochastic heat equation with a multiplicative noise (SHE) in $d=1$. We consider a general class of polymer models with strongly mixing environment in space and time, and we prove convergence to the It\\^o solution of the SHE (modulo shear). The environment is not assumed to be Gaussian, nor is it assumed to be white-in-time. Instead of using regularity structures or paracontrolled products, we rely on simpler moment-based characterizations of the SHE to prove the convergence. However, the price to pay is that our topolog","authors_text":"Shalin Parekh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-23T00:03:49Z","title":"Intermediate disorder for directed polymers with space-time correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.17888","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9c4f689dec2bca6980644a616f7605fa8be2772bce44831e2534770b2d544468","target":"record","created_at":"2026-07-05T10:37:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f8eeed51b25969d732631c1ddc60de475ef091ab995bb115001b9f5d5dce31b0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-23T00:03:49Z","title_canon_sha256":"4d82d68ec1670c684fb10f30b98d959859b387b4b0e29de7d2052052f4f51b1d"},"schema_version":"1.0","source":{"id":"2503.17888","kind":"arxiv","version":1}},"canonical_sha256":"2e5a1c266c625abca380769de69076234db72a5c5861356a5dcb63fd6ba0bacb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e5a1c266c625abca380769de69076234db72a5c5861356a5dcb63fd6ba0bacb","first_computed_at":"2026-07-05T10:37:58.022818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:37:58.022818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aLl+LZ4D3NjKwliLa1zQes0887cHJ2e+2KP+7mqInCX9tDN0Z5BomKUhA/LyOneyVhFfNhOtu2ZsFl4DNVHBDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:37:58.023338Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.17888","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c4f689dec2bca6980644a616f7605fa8be2772bce44831e2534770b2d544468","sha256:bf8799cf125ec27ef21dee547ef02d4540264f31b325d95a3d53c3a389dce4d2"],"state_sha256":"2262e1af032554491233de0ffca730b4f9bf2893162c8ea7367ca9b6b66aaad1"}