{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VHGDEEG633JFTGRNDJUDAGAQVA","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":"4126f13aac6c90cf9de527f70e18fddabfffc203f9b6e7eee14e132c1b699adf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-26T22:06:22Z","title_canon_sha256":"42c4b85e45fbeac7bd501599d1a561f4fbc5b812d53977d1b3968ed225d36789"},"schema_version":"1.0","source":{"id":"1410.7090","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7090","created_at":"2026-05-18T02:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7090v2","created_at":"2026-05-18T02:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7090","created_at":"2026-05-18T02:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"VHGDEEG633JF","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VHGDEEG633JFTGRN","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VHGDEEG6","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:078078f5ab1edd76ac069660469763b7c1e1740e07af3bdc64ce0666e19c454f","target":"graph","created_at":"2026-05-18T02:17:53Z","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":"The paper considers excited random walks (ERWs) on integers in i.i.d. environments with a bounded number of excitations per site. The emphasis is primarily on the critical case for the transition between recurrence and transience which occurs when the total expected drift $\\delta$ at each site of the environment is equal to 1 in absolute value. Several crucial estimates for ERWs fail in the critical case and require a separate treatment. The main results discuss the depth and duration of excursions from the origin for $|\\delta|=1$ as well as occupation times of negative and positive semi-axes ","authors_text":"Dmitry Dolgopyat, Elena Kosygina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-26T22:06:22Z","title":"Excursions and occupation times of critical excited random walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7090","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":"sha256:0ba057c35675644a000bf9099c68312c8c14025ecf528a290402850e22ec0ec7","target":"record","created_at":"2026-05-18T02:17:53Z","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":"4126f13aac6c90cf9de527f70e18fddabfffc203f9b6e7eee14e132c1b699adf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-26T22:06:22Z","title_canon_sha256":"42c4b85e45fbeac7bd501599d1a561f4fbc5b812d53977d1b3968ed225d36789"},"schema_version":"1.0","source":{"id":"1410.7090","kind":"arxiv","version":2}},"canonical_sha256":"a9cc3210deded2599a2d1a68301810a81c3c8f3fa3c392df46d9c5a5f080fbe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9cc3210deded2599a2d1a68301810a81c3c8f3fa3c392df46d9c5a5f080fbe6","first_computed_at":"2026-05-18T02:17:53.043348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:53.043348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ab/J8knrd6SMU1F+gJaoBHmh+naim4wA/ap4h5R8MpyIuC1Wt3Kz54HAwxo44zOXD4LuQ4yqZLoiXdKHAOnbAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:53.043887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7090","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ba057c35675644a000bf9099c68312c8c14025ecf528a290402850e22ec0ec7","sha256:078078f5ab1edd76ac069660469763b7c1e1740e07af3bdc64ce0666e19c454f"],"state_sha256":"f9fb8bce79b790421ca258702427ada85e572c67ef9859cfab280cc44b2715f0"}