{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YVNMQKCGBAQX6RRX56OMRMHHMM","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":"a8731bbcd26e42565fd5621a3da344ce5800c9d1116224e667b858eb1a341287","cross_cats_sorted":["cond-mat.dis-nn","math.PR","physics.data-an","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-02T09:03:48Z","title_canon_sha256":"befe09a26d32c0c8e06f89be6e39c6ba269d4ece4481c51a12382114ba6a5731"},"schema_version":"1.0","source":{"id":"1702.00586","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00586","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00586v1","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00586","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"YVNMQKCGBAQX","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YVNMQKCGBAQX6RRX","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YVNMQKCG","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:0814e9e7ce3d9c6ec392a9962e7723d8fabc091dfe1a5c0286b1132bdcb920b1","target":"graph","created_at":"2026-05-18T00:39:56Z","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 review recent advances on the record statistics of strongly correlated time series, whose entries denote the positions of a random walk or a L\\'evy flight on a line. After a brief survey of the theory of records for independent and identically distributed random variables, we focus on random walks. During the last few years, it was indeed realized that random walks are a very useful \"laboratory\" to test the effects of correlations on the record statistics. We start with the simple one-dimensional random walk with symmetric jumps (both continuous and discrete) and discuss in detail the stati","authors_text":"Claude Godreche, Gregory Schehr, Satya N. Majumdar","cross_cats":["cond-mat.dis-nn","math.PR","physics.data-an","q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-02T09:03:48Z","title":"Record statistics of a strongly correlated time series: random walks and L\\'evy flights"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00586","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":"sha256:403df0f227637b16ae478c727ef89ff961c5386691a9cacc1ab3f28f8590dafc","target":"record","created_at":"2026-05-18T00:39:56Z","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":"a8731bbcd26e42565fd5621a3da344ce5800c9d1116224e667b858eb1a341287","cross_cats_sorted":["cond-mat.dis-nn","math.PR","physics.data-an","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-02T09:03:48Z","title_canon_sha256":"befe09a26d32c0c8e06f89be6e39c6ba269d4ece4481c51a12382114ba6a5731"},"schema_version":"1.0","source":{"id":"1702.00586","kind":"arxiv","version":1}},"canonical_sha256":"c55ac8284608217f4637ef9cc8b0e7631de31bf1caec4b8a3bb8f51dd96df039","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c55ac8284608217f4637ef9cc8b0e7631de31bf1caec4b8a3bb8f51dd96df039","first_computed_at":"2026-05-18T00:39:56.704251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:56.704251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rvhCtr8YWRf04MV01+YqGy3dN9B2iaBTTX3puFkjpqT7wujrYDTVxPUxd/cqy42fduwhqt2QSfY4CCnRLIoeDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:56.704822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00586","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:403df0f227637b16ae478c727ef89ff961c5386691a9cacc1ab3f28f8590dafc","sha256:0814e9e7ce3d9c6ec392a9962e7723d8fabc091dfe1a5c0286b1132bdcb920b1"],"state_sha256":"f87e7eb426a55539a0851364ace4180b3781c3d87c7dd4170a7171d90fc6114c"}