{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OU23K7AYQJ4WEM3UXHEG7XQLGW","short_pith_number":"pith:OU23K7AY","schema_version":"1.0","canonical_sha256":"7535b57c188279623374b9c86fde0b35aa85faf621c0232cbb34b9dd2797cdfc","source":{"kind":"arxiv","id":"1712.03023","version":1},"attestation_state":"computed","paper":{"title":"Recurrence determinism and Li-Yorke chaos for interval maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Vladim\\'ir \\v{S}pitalsk\\'y","submitted_at":"2017-12-08T11:04:13Z","abstract_excerpt":"Recurrence determinism, one of the fundamental characteristics of recurrence quantification analysis, measures predictability of a trajectory of a dynamical system. It is tightly connected with the conditional probability that, given a recurrence, following states of the trajectory will be recurrences.\n  In this paper we study recurrence determinism of interval dynamical systems. We show that recurrence determinism distinguishes three main types of $\\omega$-limit sets of zero entropy maps: finite, solenoidal without non-separable points, and solenoidal with non-separable points. As a corollary"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.03023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-12-08T11:04:13Z","cross_cats_sorted":[],"title_canon_sha256":"cac5832856510e95916d18fbf0d887e7b3ac456f060657e6d3b2396a6997c02d","abstract_canon_sha256":"ce9cccf2c6d7d739c8e657122304e2d3ed5413fdde83db4b82d0892bccf6d046"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:28.555417Z","signature_b64":"NW69UmO4y3yMY2P9ezYAXLySIRo6D7h1zyyKIuDHCdQkWAl+GKZsYucFDszjXYQ5TLfW0RLbAJkLr5zlW/RRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7535b57c188279623374b9c86fde0b35aa85faf621c0232cbb34b9dd2797cdfc","last_reissued_at":"2026-05-18T00:28:28.554755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:28.554755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Recurrence determinism and Li-Yorke chaos for interval maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Vladim\\'ir \\v{S}pitalsk\\'y","submitted_at":"2017-12-08T11:04:13Z","abstract_excerpt":"Recurrence determinism, one of the fundamental characteristics of recurrence quantification analysis, measures predictability of a trajectory of a dynamical system. It is tightly connected with the conditional probability that, given a recurrence, following states of the trajectory will be recurrences.\n  In this paper we study recurrence determinism of interval dynamical systems. We show that recurrence determinism distinguishes three main types of $\\omega$-limit sets of zero entropy maps: finite, solenoidal without non-separable points, and solenoidal with non-separable points. As a corollary"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03023","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.03023","created_at":"2026-05-18T00:28:28.554856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.03023v1","created_at":"2026-05-18T00:28:28.554856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03023","created_at":"2026-05-18T00:28:28.554856+00:00"},{"alias_kind":"pith_short_12","alias_value":"OU23K7AYQJ4W","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OU23K7AYQJ4WEM3U","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OU23K7AY","created_at":"2026-05-18T12:31:34.259226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW","json":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW.json","graph_json":"https://pith.science/api/pith-number/OU23K7AYQJ4WEM3UXHEG7XQLGW/graph.json","events_json":"https://pith.science/api/pith-number/OU23K7AYQJ4WEM3UXHEG7XQLGW/events.json","paper":"https://pith.science/paper/OU23K7AY"},"agent_actions":{"view_html":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW","download_json":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW.json","view_paper":"https://pith.science/paper/OU23K7AY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.03023&json=true","fetch_graph":"https://pith.science/api/pith-number/OU23K7AYQJ4WEM3UXHEG7XQLGW/graph.json","fetch_events":"https://pith.science/api/pith-number/OU23K7AYQJ4WEM3UXHEG7XQLGW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW/action/storage_attestation","attest_author":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW/action/author_attestation","sign_citation":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW/action/citation_signature","submit_replication":"https://pith.science/pith/OU23K7AYQJ4WEM3UXHEG7XQLGW/action/replication_record"}},"created_at":"2026-05-18T00:28:28.554856+00:00","updated_at":"2026-05-18T00:28:28.554856+00:00"}