{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NDKJVROHS4PUID76C7QP7IPYNY","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":"ac3122b33631fb89906d0ea811dfceced13f3a167d38ef417789bf4dc4df07e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-28T09:31:17Z","title_canon_sha256":"07a8ffd24323d6fb39c274eb72969142fe091406ce3ab2643da6357f35ecb293"},"schema_version":"1.0","source":{"id":"1508.07144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07144","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07144v1","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07144","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"NDKJVROHS4PU","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NDKJVROHS4PUID76","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NDKJVROH","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:312b8cc6ac3c8a187810980b62e455908e4740facf0447e9deb98c1a4fb9da5a","target":"graph","created_at":"2026-05-18T01:34:36Z","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 persistence exponent for random walks in random sceneries (RWRS) with integer values and for some special random walks in random environment in $\\mathbb Z^2$ including random walks in $\\mathbb Z^2$ with random orientations of the horizontal layers.","authors_text":"Fran\\c{c}oise P\\`ene, Nadine Guillotin-Plantard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-28T09:31:17Z","title":"Persistence exponent for random walk on directed versions of $Z^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07144","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":"sha256:47d5d47873e051f309ee511b62e13b75a47b4a93793ace812e626151ab2755ca","target":"record","created_at":"2026-05-18T01:34:36Z","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":"ac3122b33631fb89906d0ea811dfceced13f3a167d38ef417789bf4dc4df07e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-28T09:31:17Z","title_canon_sha256":"07a8ffd24323d6fb39c274eb72969142fe091406ce3ab2643da6357f35ecb293"},"schema_version":"1.0","source":{"id":"1508.07144","kind":"arxiv","version":1}},"canonical_sha256":"68d49ac5c7971f440ffe17e0ffa1f86e38eac32357ed1f3a89e9138920832493","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68d49ac5c7971f440ffe17e0ffa1f86e38eac32357ed1f3a89e9138920832493","first_computed_at":"2026-05-18T01:34:36.787859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:36.787859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y4Hyokb1c13aIR9gAT7R7DsxmUTBGB519BPMG//DISJCWG03dhnhsq4IfBNSCvrPgZGVMcv+pYq9PXoFSkg3Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:36.788525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47d5d47873e051f309ee511b62e13b75a47b4a93793ace812e626151ab2755ca","sha256:312b8cc6ac3c8a187810980b62e455908e4740facf0447e9deb98c1a4fb9da5a"],"state_sha256":"826249619ca1648aade2d3506d11cd6c50e0fc99c2af13afaaa86380e06b3883"}