{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:F7ZSOVDYZNUPS2XBC2LUGYN5JB","short_pith_number":"pith:F7ZSOVDY","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"},"canonical_sha256":"2ff3275478cb68f96ae116974361bd48631676632e617013892ee338094957bc","source":{"kind":"arxiv","id":"2505.11457","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.11457","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"2505.11457v2","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11457","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"F7ZSOVDYZNUP","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"pith_short_16","alias_value":"F7ZSOVDYZNUPS2XB","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"pith_short_8","alias_value":"F7ZSOVDY","created_at":"2026-07-05T11:49:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:F7ZSOVDYZNUPS2XBC2LUGYN5JB","target":"record","payload":{"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"},"canonical_sha256":"2ff3275478cb68f96ae116974361bd48631676632e617013892ee338094957bc","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"},"source_kind":"arxiv","source_id":"2505.11457","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"82zYHV00dfnFFExK1UPcMxZvE3wZUjBYDy/i7Hk5NcbkhkwGf55Zikpdc6ciZhzrHs5SKOElV9hOsbfhAjZ7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T14:04:35.025507Z"},"content_sha256":"532612fc0a751286d88c36cc160f9d2be3106f40a9458035ecf97b78415501b5","schema_version":"1.0","event_id":"sha256:532612fc0a751286d88c36cc160f9d2be3106f40a9458035ecf97b78415501b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:F7ZSOVDYZNUPS2XBC2LUGYN5JB","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2luOuiOOZ6gnV1g4oZBKE+KDbvqICApYX0AIF+1RWfnMAZXjKSn+A1anB08qeK8elLVgmhkjCKB+JIYEmYHWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T14:04:35.026077Z"},"content_sha256":"45cf53138d71d79ab7ad7e0cefec6b30fcd50122b4c291e1936f42051c2a9b7b","schema_version":"1.0","event_id":"sha256:45cf53138d71d79ab7ad7e0cefec6b30fcd50122b4c291e1936f42051c2a9b7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/bundle.json","state_url":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-19T14:04:35Z","links":{"resolver":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB","bundle":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/bundle.json","state":"https://pith.science/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7ZSOVDYZNUPS2XBC2LUGYN5JB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:F7ZSOVDYZNUPS2XBC2LUGYN5JB","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":"16d88b058091d6044ea32e6f3e19d867ec2f1e614ba527baf3b72fc713d00ee2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-16T17:11:08Z","title_canon_sha256":"342c236d759ddb9a2210a822b6ab07d583be86474e30247d70273f99c906ce01"},"schema_version":"1.0","source":{"id":"2505.11457","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.11457","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"2505.11457v2","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11457","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"F7ZSOVDYZNUP","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"pith_short_16","alias_value":"F7ZSOVDYZNUPS2XB","created_at":"2026-07-05T11:49:10Z"},{"alias_kind":"pith_short_8","alias_value":"F7ZSOVDY","created_at":"2026-07-05T11:49:10Z"}],"graph_snapshots":[{"event_id":"sha256:45cf53138d71d79ab7ad7e0cefec6b30fcd50122b4c291e1936f42051c2a9b7b","target":"graph","created_at":"2026-07-05T11:49:10Z","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/2505.11457/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Hugo Vanneuville, Vincent Tassion","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-16T17:11:08Z","title":"Noise sensitivity of crossings for high temperature Ising model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.11457","kind":"arxiv","version":2},"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":"sha256:532612fc0a751286d88c36cc160f9d2be3106f40a9458035ecf97b78415501b5","target":"record","created_at":"2026-07-05T11:49:10Z","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":"16d88b058091d6044ea32e6f3e19d867ec2f1e614ba527baf3b72fc713d00ee2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-16T17:11:08Z","title_canon_sha256":"342c236d759ddb9a2210a822b6ab07d583be86474e30247d70273f99c906ce01"},"schema_version":"1.0","source":{"id":"2505.11457","kind":"arxiv","version":2}},"canonical_sha256":"2ff3275478cb68f96ae116974361bd48631676632e617013892ee338094957bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ff3275478cb68f96ae116974361bd48631676632e617013892ee338094957bc","first_computed_at":"2026-07-05T11:49:10.207519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:49:10.207519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FO6U3fchhPb3mifYAhRqSTb/cRw1J+VtWsJO2dxWGAV2ddlRdBD9sCdM97BrYIKxTl0Db8m7t4Uwlpmtp6s0Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:49:10.207991Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.11457","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:532612fc0a751286d88c36cc160f9d2be3106f40a9458035ecf97b78415501b5","sha256:45cf53138d71d79ab7ad7e0cefec6b30fcd50122b4c291e1936f42051c2a9b7b"],"state_sha256":"09a4bf18173f5ad9c79b0bf066089415091140a444cfb0e62cb64d70efa9829f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+7yvL8mFsUKRARA9+FjvtyzHqIIGCxVzUkZMlK83KJmGE3nX8B5fWp6KaGO57tUN3ckdg8/Ii4tEaRO/NvBIAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T14:04:35.031182Z","bundle_sha256":"be7bc656da23b5d62d2f59c2e82468d9d0e6ef47439d9fea76f2a85646a8a2e0"}}