{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KKJCYVL4N77HUFAQ7WLMNQVG7Q","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":"cee2d0af56bc32907e89447fde2462a90447f5b9bfb3a0bf073260b9bdb34b49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-24T15:59:26Z","title_canon_sha256":"597633acf6baf4cb12405b2c5423acb3fce141544973057db2216d2242d12cd8"},"schema_version":"1.0","source":{"id":"1707.07619","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07619","created_at":"2026-05-18T00:39:41Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07619v1","created_at":"2026-05-18T00:39:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07619","created_at":"2026-05-18T00:39:41Z"},{"alias_kind":"pith_short_12","alias_value":"KKJCYVL4N77H","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KKJCYVL4N77HUFAQ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KKJCYVL4","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:1c268f07b9cad8b30b8cd7f2c5b64b3cd93448f9ce66f412d9589db217da9be6","target":"graph","created_at":"2026-05-18T00:39:41Z","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"},"paper":{"abstract_excerpt":"We consider random walk on dynamical percolation on the discrete torus $\\mathbb{Z}_n^d$. In previous work, mixing times of this process for $p<p_c(\\mathbb{Z}^d)$ were obtained in the annealed setting where one averages over the dynamical percolation environment. Here we study exit times in the quenched setting, where we condition on a typical dynamical percolation environment. We obtain an upper bound for all $p$ which for $p<p_c$ matches the known lower bound.","authors_text":"Jeffrey E. Steif, Perla Sousi, Yuval Peres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-24T15:59:26Z","title":"Quenched exit times for random walk on dynamical percolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07619","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:c78332206e2bd6ee9d33e96c072420728660502b1a16748293c72422d76bdcf3","target":"record","created_at":"2026-05-18T00:39:41Z","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":"cee2d0af56bc32907e89447fde2462a90447f5b9bfb3a0bf073260b9bdb34b49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-24T15:59:26Z","title_canon_sha256":"597633acf6baf4cb12405b2c5423acb3fce141544973057db2216d2242d12cd8"},"schema_version":"1.0","source":{"id":"1707.07619","kind":"arxiv","version":1}},"canonical_sha256":"52922c557c6ffe7a1410fd96c6c2a6fc04bb7c82b7f11568d48834f6a75a71f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52922c557c6ffe7a1410fd96c6c2a6fc04bb7c82b7f11568d48834f6a75a71f3","first_computed_at":"2026-05-18T00:39:41.637536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:41.637536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IpAMD5LHTfSROyMQ/9pt253FdPWwMJsagQE1CgZF5i9NH235G60ns2b268oVCiqge36nv2Ue4TIbYSZ9faq1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:41.638255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07619","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c78332206e2bd6ee9d33e96c072420728660502b1a16748293c72422d76bdcf3","sha256:1c268f07b9cad8b30b8cd7f2c5b64b3cd93448f9ce66f412d9589db217da9be6"],"state_sha256":"102dc680efeb1294d3bfb7f4b621e3908d75a59de10d4c2397b15f29cbef27ab"}