{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:F7ZSOVDYZNUPS2XBC2LUGYN5JB","short_pith_number":"pith:F7ZSOVDY","schema_version":"1.0","canonical_sha256":"2ff3275478cb68f96ae116974361bd48631676632e617013892ee338094957bc","source":{"kind":"arxiv","id":"2505.11457","version":2},"attestation_state":"computed","paper":{"title":"Noise sensitivity of crossings for high temperature Ising model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Hugo Vanneuville, Vincent Tassion","submitted_at":"2025-05-16T17:11:08Z","abstract_excerpt":"Consider the event that there is a $+$ crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber dynamics $t \\mapsto \\sigma_t$ in the subcritical regime $\\beta<\\beta_c$. We rely on the non-spectral approach from our previous work [TV23]. An important aspect in this more general setup is the study of the pair $(\\sigma_0,\\sigma_t)$ and in particular the establishment of properties such as finite-energy and spatial mixing."},"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":"2505.11457","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-16T17:11:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"342c236d759ddb9a2210a822b6ab07d583be86474e30247d70273f99c906ce01","abstract_canon_sha256":"16d88b058091d6044ea32e6f3e19d867ec2f1e614ba527baf3b72fc713d00ee2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:49:10.207991Z","signature_b64":"FO6U3fchhPb3mifYAhRqSTb/cRw1J+VtWsJO2dxWGAV2ddlRdBD9sCdM97BrYIKxTl0Db8m7t4Uwlpmtp6s0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ff3275478cb68f96ae116974361bd48631676632e617013892ee338094957bc","last_reissued_at":"2026-07-05T11:49:10.207519Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:49:10.207519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noise sensitivity of crossings for high temperature Ising model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Hugo Vanneuville, Vincent Tassion","submitted_at":"2025-05-16T17:11:08Z","abstract_excerpt":"Consider the event that there is a $+$ crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber dynamics $t \\mapsto \\sigma_t$ in the subcritical regime $\\beta<\\beta_c$. We rely on the non-spectral approach from our previous work [TV23]. An important aspect in this more general setup is the study of the pair $(\\sigma_0,\\sigma_t)$ and in particular the establishment of properties such as finite-energy and spatial mixing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.11457","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.11457/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":"2505.11457","created_at":"2026-07-05T11:49:10.207575+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.11457v2","created_at":"2026-07-05T11:49:10.207575+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11457","created_at":"2026-07-05T11:49:10.207575+00:00"},{"alias_kind":"pith_short_12","alias_value":"F7ZSOVDYZNUP","created_at":"2026-07-05T11:49:10.207575+00:00"},{"alias_kind":"pith_short_16","alias_value":"F7ZSOVDYZNUPS2XB","created_at":"2026-07-05T11:49:10.207575+00:00"},{"alias_kind":"pith_short_8","alias_value":"F7ZSOVDY","created_at":"2026-07-05T11:49:10.207575+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/F7ZSOVDYZNUPS2XBC2LUGYN5JB","json":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB.json","graph_json":"https://pith.science/api/pith-number/F7ZSOVDYZNUPS2XBC2LUGYN5JB/graph.json","events_json":"https://pith.science/api/pith-number/F7ZSOVDYZNUPS2XBC2LUGYN5JB/events.json","paper":"https://pith.science/paper/F7ZSOVDY"},"agent_actions":{"view_html":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB","download_json":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB.json","view_paper":"https://pith.science/paper/F7ZSOVDY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.11457&json=true","fetch_graph":"https://pith.science/api/pith-number/F7ZSOVDYZNUPS2XBC2LUGYN5JB/graph.json","fetch_events":"https://pith.science/api/pith-number/F7ZSOVDYZNUPS2XBC2LUGYN5JB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/action/storage_attestation","attest_author":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/action/author_attestation","sign_citation":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/action/citation_signature","submit_replication":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/action/replication_record"}},"created_at":"2026-07-05T11:49:10.207575+00:00","updated_at":"2026-07-05T11:49:10.207575+00:00"}