{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Q3PDXN6U6VMQ7Q7Y4IAJ4UOTUG","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":"02b1f617a0840d73addeab30f504456e407763dfeae39bfe1fc4d5b6ab292279","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-10-09T21:47:39Z","title_canon_sha256":"7d873f442c8ab422fbe0f2a8d10aefaf53530ce77f93314f9487c385bfc5ef82"},"schema_version":"1.0","source":{"id":"1610.02727","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02727","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02727v2","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02727","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"pith_short_12","alias_value":"Q3PDXN6U6VMQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q3PDXN6U6VMQ7Q7Y","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q3PDXN6U","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:ab77d76a448b7383cf73968d933b8f0f3133de8494a58e7911d629b537b0e8ef","target":"graph","created_at":"2026-05-18T00:55:51Z","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 goal of this paper is to put together several techniques in handling dynamical systems on zero-dimensional spaces, such as array representation, inverse limit representation, or Bratteli-Vershik representation. We describe how one can switch from one representation to another. We also briefly review some more recent related notions: symbolic extensions, symbolic extensions with an embedding, and uniform generators. We devote a great deal of attention to marker techniques and we use them to prove two types of results: one concerning entropy and vertical data compression, and another, about ","authors_text":"Olena Karpel, Tomasz Downarowicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-10-09T21:47:39Z","title":"Dynamics in dimension zero. A survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02727","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:eed80ad802404c01f66314d92080390264780795780e2a04820cd11425c4933c","target":"record","created_at":"2026-05-18T00:55:51Z","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":"02b1f617a0840d73addeab30f504456e407763dfeae39bfe1fc4d5b6ab292279","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-10-09T21:47:39Z","title_canon_sha256":"7d873f442c8ab422fbe0f2a8d10aefaf53530ce77f93314f9487c385bfc5ef82"},"schema_version":"1.0","source":{"id":"1610.02727","kind":"arxiv","version":2}},"canonical_sha256":"86de3bb7d4f5590fc3f8e2009e51d3a1ab72bf07b185e4ec27bd4cdc6603261e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86de3bb7d4f5590fc3f8e2009e51d3a1ab72bf07b185e4ec27bd4cdc6603261e","first_computed_at":"2026-05-18T00:55:51.693630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:51.693630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GGn7DVmzujJzkIOABTrvFPYl4YzUXuw5d9AhyeAA1tcEG11Mc5P+wtdinABZfCbcpN7tDRDAWqQhU/yKFLsvBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:51.694105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02727","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eed80ad802404c01f66314d92080390264780795780e2a04820cd11425c4933c","sha256:ab77d76a448b7383cf73968d933b8f0f3133de8494a58e7911d629b537b0e8ef"],"state_sha256":"89155ae60fbab39afef78aef64d58ce98f095aaab4907f80410ca4df5cddff8a"}