{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UWVOTYOD6H2IEFXFM6ZALHL2NH","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":"3e2a54778af0ee49b277f98896bcec10b9d2248074031d7368f0b9a80509f451","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-30T16:16:20Z","title_canon_sha256":"88f8a386a656e84131c25eb95f0bcffd4d9b0421b032dade3ec3a7bc7d78ef5c"},"schema_version":"1.0","source":{"id":"1011.0085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.0085","created_at":"2026-05-18T03:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1011.0085v1","created_at":"2026-05-18T03:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0085","created_at":"2026-05-18T03:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"UWVOTYOD6H2I","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UWVOTYOD6H2IEFXF","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UWVOTYOD","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:cb184ba6f2181e8c280d615c5613cca6b7d1c50200e33d08efc35fb13b6d1713","target":"graph","created_at":"2026-05-18T03:34:14Z","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":"In previous work, a class of noninvertible topological dynamical systems $f: X \\to X$ was introduced and studied; we called these {\\em topologically coarse expanding conformal} systems. To such a system is naturally associated a preferred quasisymmetry (indeed, snowflake) class of metrics in which arbitrary iterates distort roundness and ratios of diameters by controlled amounts; we called this {\\em metrically coarse expanding conformal}. In this note we extend the class of examples to several more familiar settings, give applications of our general methods, and discuss implications for the co","authors_text":"Kevin M. Pilgrim, Peter Haissinsky (LATP)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-30T16:16:20Z","title":"Examples of coarse expanding conformal maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0085","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:b598bcacdf88e68e2c1b8590906b034dfad7a4acff3d9f73ccc736c7d348bfc8","target":"record","created_at":"2026-05-18T03:34:14Z","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":"3e2a54778af0ee49b277f98896bcec10b9d2248074031d7368f0b9a80509f451","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-30T16:16:20Z","title_canon_sha256":"88f8a386a656e84131c25eb95f0bcffd4d9b0421b032dade3ec3a7bc7d78ef5c"},"schema_version":"1.0","source":{"id":"1011.0085","kind":"arxiv","version":1}},"canonical_sha256":"a5aae9e1c3f1f48216e567b2059d7a69cb7b009294a572aa8b3c9b65876f87b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5aae9e1c3f1f48216e567b2059d7a69cb7b009294a572aa8b3c9b65876f87b7","first_computed_at":"2026-05-18T03:34:14.334205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:14.334205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XsCPdsTsUP2OzqqdMSuFp9VAY+TZvsuNLA2DZ977ZooXt5kH8bnjoXZuy+H6ng1i1CDgGGjCoJDk4+aU81TbDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:14.334873Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.0085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b598bcacdf88e68e2c1b8590906b034dfad7a4acff3d9f73ccc736c7d348bfc8","sha256:cb184ba6f2181e8c280d615c5613cca6b7d1c50200e33d08efc35fb13b6d1713"],"state_sha256":"3473a92f6d67f526ceef90f249bda64ccc3ccb599ba22729c540f45c6e317717"}