{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2FBHW364XHBOJBSU4BOP6FLHKY","short_pith_number":"pith:2FBHW364","schema_version":"1.0","canonical_sha256":"d1427b6fdcb9c2e48654e05cff15675619ef6b72649bbe69957266c6f7ff68ed","source":{"kind":"arxiv","id":"1712.03050","version":1},"attestation_state":"computed","paper":{"title":"Mean dimension of full shifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.DS","authors_text":"Masaki Tsukamoto","submitted_at":"2017-12-08T13:20:55Z","abstract_excerpt":"Let $K$ be a finite dimensional compact metric space and $K^\\mathbb{Z}$ the full shift on the alphabet $K$. We prove that its mean dimension is given by $\\dim K$ or $\\dim K-1$ depending on the \"type\" of $K$. We propose a problem which seems interesting from the view point of infinite dimensional topology."},"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":"1712.03050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-12-08T13:20:55Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"57741f43303f76e09a9bc8d321a759de8f6f89eb0701869c08c6ecb4aa73f2aa","abstract_canon_sha256":"1e7f36eb5e82c9ea4347dd4691fad1022720a77f0e85965c21824efbbe234c55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:28.469944Z","signature_b64":"1fn0FIhs75xh0WDwJF+xdUJystsbMAKx4fNGgzzz2PmygD8VjYuFrcssySpWU0CVLi80wf/xOZNQW886OtrKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1427b6fdcb9c2e48654e05cff15675619ef6b72649bbe69957266c6f7ff68ed","last_reissued_at":"2026-05-18T00:28:28.469478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:28.469478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean dimension of full shifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.DS","authors_text":"Masaki Tsukamoto","submitted_at":"2017-12-08T13:20:55Z","abstract_excerpt":"Let $K$ be a finite dimensional compact metric space and $K^\\mathbb{Z}$ the full shift on the alphabet $K$. We prove that its mean dimension is given by $\\dim K$ or $\\dim K-1$ depending on the \"type\" of $K$. We propose a problem which seems interesting from the view point of infinite dimensional topology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03050","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":"1712.03050","created_at":"2026-05-18T00:28:28.469543+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.03050v1","created_at":"2026-05-18T00:28:28.469543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03050","created_at":"2026-05-18T00:28:28.469543+00:00"},{"alias_kind":"pith_short_12","alias_value":"2FBHW364XHBO","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2FBHW364XHBOJBSU","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2FBHW364","created_at":"2026-05-18T12:30:55.937587+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/2FBHW364XHBOJBSU4BOP6FLHKY","json":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY.json","graph_json":"https://pith.science/api/pith-number/2FBHW364XHBOJBSU4BOP6FLHKY/graph.json","events_json":"https://pith.science/api/pith-number/2FBHW364XHBOJBSU4BOP6FLHKY/events.json","paper":"https://pith.science/paper/2FBHW364"},"agent_actions":{"view_html":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY","download_json":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY.json","view_paper":"https://pith.science/paper/2FBHW364","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.03050&json=true","fetch_graph":"https://pith.science/api/pith-number/2FBHW364XHBOJBSU4BOP6FLHKY/graph.json","fetch_events":"https://pith.science/api/pith-number/2FBHW364XHBOJBSU4BOP6FLHKY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY/action/storage_attestation","attest_author":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY/action/author_attestation","sign_citation":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY/action/citation_signature","submit_replication":"https://pith.science/pith/2FBHW364XHBOJBSU4BOP6FLHKY/action/replication_record"}},"created_at":"2026-05-18T00:28:28.469543+00:00","updated_at":"2026-05-18T00:28:28.469543+00:00"}