{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PJQGITMQCAZ6YLVJUWG634ZFSW","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":"7a832174f6b1562a00c296ec39120385e2993f434028963165c7b16e356318c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-11T20:12:06Z","title_canon_sha256":"ff0fe216919290778bb7f7dfedf7f42d5e5956cc84081f8cc9b852c10fe65a22"},"schema_version":"1.0","source":{"id":"1505.02791","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02791","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02791v3","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02791","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"PJQGITMQCAZ6","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PJQGITMQCAZ6YLVJ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PJQGITMQ","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:48c3f0c3ba85ffec11057f3cfae4433bf132c1bddd249567b2eb61073a1bfa28","target":"graph","created_at":"2026-05-18T01:13:09Z","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 walks in dynamic random environments, with an environment generated by the time-reversal of a Markov process from the oriented percolation universality class. If the influence of the random medium on the walk is small in space-time regions where the medium is typical, we obtain a law of large numbers and an averaged central limit theorem for the walk via a regeneration construction under suitable coarse-graining.\n  Such random walks occur naturally as spatial embeddings of ancestral lineages in spatial population models with local regulation. We verify that our assumptions h","authors_text":"Andrej Depperschmidt, Ji\\v{r}\\'i \\v{C}ern\\'y, Matthias Birkner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-11T20:12:06Z","title":"Random walks in dynamic random environments and ancestry under local population regulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02791","kind":"arxiv","version":3},"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":"sha256:26b4e7013016d888cda81f3b659b882a40994d0de7767978b37acd023a253dfa","target":"record","created_at":"2026-05-18T01:13:09Z","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":"7a832174f6b1562a00c296ec39120385e2993f434028963165c7b16e356318c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-11T20:12:06Z","title_canon_sha256":"ff0fe216919290778bb7f7dfedf7f42d5e5956cc84081f8cc9b852c10fe65a22"},"schema_version":"1.0","source":{"id":"1505.02791","kind":"arxiv","version":3}},"canonical_sha256":"7a60644d901033ec2ea9a58dedf32595b65f4c662000a522c103f82bcdac2f76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a60644d901033ec2ea9a58dedf32595b65f4c662000a522c103f82bcdac2f76","first_computed_at":"2026-05-18T01:13:09.730131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:09.730131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ku30ro0GVOkl18lqe4z3ARCD+VFCtHF3fYl9Ek6XvX7P3s1aGiclLk4PL5jYtL1HUqgcYJi1DdmuYKXj93Q9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:09.730765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02791","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26b4e7013016d888cda81f3b659b882a40994d0de7767978b37acd023a253dfa","sha256:48c3f0c3ba85ffec11057f3cfae4433bf132c1bddd249567b2eb61073a1bfa28"],"state_sha256":"5960846120d956cc729893a52fd1b0d7aaf139639499c6ebec11713c1d6e4ac0"}