{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CJWSIA2TEUFNEORUUCEATJOLMX","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":"bf5e488904ff9384ac29e6203422ed6be675da2592ace32fff67d749fe71932a","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-28T14:17:57Z","title_canon_sha256":"bd7c26d8d2c9735aabf3d1c27c1a904cde8a9a59b7dc579a1f9b40025cd66bf2"},"schema_version":"1.0","source":{"id":"1804.10808","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10808","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10808v1","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10808","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"CJWSIA2TEUFN","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CJWSIA2TEUFNEORU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CJWSIA2T","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:d8ac891d14e1affd5d83ccf865988b2be2b10303c33cbd979f82fba5080b2c55","target":"graph","created_at":"2026-05-18T00:17:15Z","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":"What is the path associated with the fastest Brownian particle that reaches a narrow window located on the boundary of a domain? Although the distribution of the fastest arrival times has been well studied in dimension 1, much less is known in higher dimensions. Based on the Wiener path-integral, we derive a variational principle for the path associated with the fastest arrival particle. Specifically, we show that in a large ensemble of independent Brownian trajectories, the first moment of the shortest arrival time is associated with the minimization of the energy-action and the optimal traje","authors_text":"Akim Hubl, David Holcman, Kanishka Basnayake, Zeev Schuss","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-28T14:17:57Z","title":"Extreme Narrow Escape: shortest paths for the first particles to escape through a small window"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10808","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":"sha256:69037bc9b0374b3575d4d22020063de7c24d22a1e538ec2adc6b868087c87e8b","target":"record","created_at":"2026-05-18T00:17:15Z","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":"bf5e488904ff9384ac29e6203422ed6be675da2592ace32fff67d749fe71932a","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-28T14:17:57Z","title_canon_sha256":"bd7c26d8d2c9735aabf3d1c27c1a904cde8a9a59b7dc579a1f9b40025cd66bf2"},"schema_version":"1.0","source":{"id":"1804.10808","kind":"arxiv","version":1}},"canonical_sha256":"126d240353250ad23a34a08809a5cb65e685dda9f78ee10181730b7284ee6b88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"126d240353250ad23a34a08809a5cb65e685dda9f78ee10181730b7284ee6b88","first_computed_at":"2026-05-18T00:17:15.480114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:15.480114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"syKe2jMccPPww05hi59ML4rcdV/vkJBZ9ajFZ/bdKLSSq6yUk3ug+rpUrEIu+XQJQ+vESXw3WzfInlsXPeAuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:15.480714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69037bc9b0374b3575d4d22020063de7c24d22a1e538ec2adc6b868087c87e8b","sha256:d8ac891d14e1affd5d83ccf865988b2be2b10303c33cbd979f82fba5080b2c55"],"state_sha256":"515b5fafc1536a21be6025987bd2d3af2ea6d996c32851b3d0ce28863023448c"}