{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:AT6EB5DAF76TTKIXINVZUL56FA","short_pith_number":"pith:AT6EB5DA","schema_version":"1.0","canonical_sha256":"04fc40f4602ffd39a917436b9a2fbe2819536d9b4e41497bdbecda22f39e8720","source":{"kind":"arxiv","id":"1902.10641","version":2},"attestation_state":"computed","paper":{"title":"All minimal Cantor systems are slow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"J. Kupka, J. P. Boro\\'nski, P. Oprocha","submitted_at":"2019-02-27T17:13:27Z","abstract_excerpt":"We show that every (invertible, or noninvertible) minimal Cantor system embeds in $\\mathbb{R}$ with vanishing derivative everywhere. We also study relations between local shrinking and periodic points."},"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":"1902.10641","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-02-27T17:13:27Z","cross_cats_sorted":[],"title_canon_sha256":"a4fc6f98d109c86d0b3fc0828e1186979b97e915abc21717a75b512f9ad73912","abstract_canon_sha256":"f471f64e4df2bd5745d8c2ee9645cd40bfa1ee60c1fb888120589da5f0c3c7d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:09.162467Z","signature_b64":"a3FcZ+Ko6oeJ5f+oMyvB3Q8/xBmPqoI3UEoIMv3HCciwxnNKNlfrrHoSvntRH8vRhyFVKJR+T8mPykGTXhfkDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04fc40f4602ffd39a917436b9a2fbe2819536d9b4e41497bdbecda22f39e8720","last_reissued_at":"2026-05-17T23:45:09.161805Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:09.161805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"All minimal Cantor systems are slow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"J. Kupka, J. P. Boro\\'nski, P. Oprocha","submitted_at":"2019-02-27T17:13:27Z","abstract_excerpt":"We show that every (invertible, or noninvertible) minimal Cantor system embeds in $\\mathbb{R}$ with vanishing derivative everywhere. We also study relations between local shrinking and periodic points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10641","kind":"arxiv","version":2},"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":"1902.10641","created_at":"2026-05-17T23:45:09.161895+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.10641v2","created_at":"2026-05-17T23:45:09.161895+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10641","created_at":"2026-05-17T23:45:09.161895+00:00"},{"alias_kind":"pith_short_12","alias_value":"AT6EB5DAF76T","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"AT6EB5DAF76TTKIX","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"AT6EB5DA","created_at":"2026-05-18T12:33:12.712433+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/AT6EB5DAF76TTKIXINVZUL56FA","json":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA.json","graph_json":"https://pith.science/api/pith-number/AT6EB5DAF76TTKIXINVZUL56FA/graph.json","events_json":"https://pith.science/api/pith-number/AT6EB5DAF76TTKIXINVZUL56FA/events.json","paper":"https://pith.science/paper/AT6EB5DA"},"agent_actions":{"view_html":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA","download_json":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA.json","view_paper":"https://pith.science/paper/AT6EB5DA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.10641&json=true","fetch_graph":"https://pith.science/api/pith-number/AT6EB5DAF76TTKIXINVZUL56FA/graph.json","fetch_events":"https://pith.science/api/pith-number/AT6EB5DAF76TTKIXINVZUL56FA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA/action/storage_attestation","attest_author":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA/action/author_attestation","sign_citation":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA/action/citation_signature","submit_replication":"https://pith.science/pith/AT6EB5DAF76TTKIXINVZUL56FA/action/replication_record"}},"created_at":"2026-05-17T23:45:09.161895+00:00","updated_at":"2026-05-17T23:45:09.161895+00:00"}