{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OU2S6VZZALHH4ILMDNWRPGIHM4","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":"09ad6d2ddc476423c2d55784e3100c645574ea2b1cd3ab7a84e32597f56eb932","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-17T18:21:41Z","title_canon_sha256":"1f13360fe80a67ebda36cd10be8d4a1b02313792835f13b7ab96ff26cd300b07"},"schema_version":"1.0","source":{"id":"1410.4814","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4814","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4814v2","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4814","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"OU2S6VZZALHH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OU2S6VZZALHH4ILM","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OU2S6VZZ","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:626d547d335916768e9e85a04aa02247e3784fb72aad6efe2b75239dd4b0e7aa","target":"graph","created_at":"2026-05-18T02:26:31Z","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 study the asymptotic hitting time $\\tau^{(n)}$ of a family of Markov processes $X^{(n)}$ to a target set $G^{(n)}$ when the process starts from a trap defined by very general properties.\n  We give an explicit description of the law of $X^{(n)}$ conditioned to stay within the trap, and from this we deduce the exponential distribution of $\\tau^{(n)}$. Our approach is very broad ---it does not require reversibility, the target $G$ does not need to be a rare event, and the traps and the limit on $n$ can be of very general nature--- and leads to explicit bounds on the deviations of $\\tau^{(n)}$ ","authors_text":"Elisabetta Scoppola, Francesca Nardi, Francesco Manzo, Julien Sohier, Roberto Fernandez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-17T18:21:41Z","title":"Conditioned, quasi-stationary, restricted measures and escape from metastable states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4814","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":"sha256:052a7e7975ad0a9a6477d20489f30c49053012ceda9a93343dbc8520bba6f9bb","target":"record","created_at":"2026-05-18T02:26:31Z","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":"09ad6d2ddc476423c2d55784e3100c645574ea2b1cd3ab7a84e32597f56eb932","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-17T18:21:41Z","title_canon_sha256":"1f13360fe80a67ebda36cd10be8d4a1b02313792835f13b7ab96ff26cd300b07"},"schema_version":"1.0","source":{"id":"1410.4814","kind":"arxiv","version":2}},"canonical_sha256":"75352f573902ce7e216c1b6d1799076736caa412484c5b5b5b469a01eefa7f2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75352f573902ce7e216c1b6d1799076736caa412484c5b5b5b469a01eefa7f2e","first_computed_at":"2026-05-18T02:26:31.485592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:31.485592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"72cym25+wos2hUyRGM5CWbJklWxmwhy9hgldMlpdnNMx2PkFaL9Uw7KbsM8xwU9mnv0aTDXYMA2EJnw+O3R0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:31.486008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4814","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:052a7e7975ad0a9a6477d20489f30c49053012ceda9a93343dbc8520bba6f9bb","sha256:626d547d335916768e9e85a04aa02247e3784fb72aad6efe2b75239dd4b0e7aa"],"state_sha256":"dc46deb29e12a18e7e289867f026b2adc3f2b992eaa5731e6baf12104487dbf9"}