{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:P5MHCW2REDSEIGOMRI33UJODNE","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":"77c9fbe68bb1229694854ae9b1825667eed23c091b7be9061e733fbbd778c36b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-10-11T21:15:45Z","title_canon_sha256":"56ce2a79e7529c356b888cdc7e64af06d5cd64e5de460f9555f9c7316541da2b"},"schema_version":"1.0","source":{"id":"1610.03537","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03537","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03537v1","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03537","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"P5MHCW2REDSE","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"P5MHCW2REDSEIGOM","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"P5MHCW2R","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:ad379591aba4b84bb44c5620ca6d069659c55a92607becd773d09bb84a18372c","target":"graph","created_at":"2026-05-18T01:02:30Z","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":"This paper explores the range of bounded speedups in the topological category. Bounded speedups represent both a strengthening of topological speedups as defined in [A 16] and a generalization of powers of a transformation. Here we show that bounded speedups preserve the structure of two classical minimal Cantor systems. Specifically, a minimal bounded speedup of an odometer is a conjugate odometer, and a minimal bounded speedup of a primitive substitution is again a primitive substitution, though it is never conjugate to the original substitution system. Further, we give bounds on the topolog","authors_text":"Drew D. Ash, Lori Alvin, Nicholas S. Ormes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-10-11T21:15:45Z","title":"Bounded Topological Speedups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03537","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":"sha256:363ac21b901ea25f850e074edb9ea4ca43d9d63a496bef1bbd38bebc4938fd80","target":"record","created_at":"2026-05-18T01:02:30Z","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":"77c9fbe68bb1229694854ae9b1825667eed23c091b7be9061e733fbbd778c36b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-10-11T21:15:45Z","title_canon_sha256":"56ce2a79e7529c356b888cdc7e64af06d5cd64e5de460f9555f9c7316541da2b"},"schema_version":"1.0","source":{"id":"1610.03537","kind":"arxiv","version":1}},"canonical_sha256":"7f58715b5120e44419cc8a37ba25c369118a1c761a472345bb8971937f17a1c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f58715b5120e44419cc8a37ba25c369118a1c761a472345bb8971937f17a1c1","first_computed_at":"2026-05-18T01:02:30.071857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:30.071857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gUl8vWDjnigzETeYc9MQu+pUD3sZjqCJOrYH+jQV0ucfE9djCNU8Dm5Qwt11qB+3oHm5UK7VDhab4TB8KURoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:30.072329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03537","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:363ac21b901ea25f850e074edb9ea4ca43d9d63a496bef1bbd38bebc4938fd80","sha256:ad379591aba4b84bb44c5620ca6d069659c55a92607becd773d09bb84a18372c"],"state_sha256":"40ff15a1ebc30a52cc1005e2b0dec81dace671d310a58f40d0aad714aedcf1f2"}