{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:UWVOTYOD6H2IEFXFM6ZALHL2NH","short_pith_number":"pith:UWVOTYOD","schema_version":"1.0","canonical_sha256":"a5aae9e1c3f1f48216e567b2059d7a69cb7b009294a572aa8b3c9b65876f87b7","source":{"kind":"arxiv","id":"1011.0085","version":1},"attestation_state":"computed","paper":{"title":"Examples of coarse expanding conformal maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kevin M. Pilgrim, Peter Haissinsky (LATP)","submitted_at":"2010-10-30T16:16:20Z","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"},"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":"1011.0085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-30T16:16:20Z","cross_cats_sorted":[],"title_canon_sha256":"88f8a386a656e84131c25eb95f0bcffd4d9b0421b032dade3ec3a7bc7d78ef5c","abstract_canon_sha256":"3e2a54778af0ee49b277f98896bcec10b9d2248074031d7368f0b9a80509f451"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:14.334873Z","signature_b64":"XsCPdsTsUP2OzqqdMSuFp9VAY+TZvsuNLA2DZ977ZooXt5kH8bnjoXZuy+H6ng1i1CDgGGjCoJDk4+aU81TbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5aae9e1c3f1f48216e567b2059d7a69cb7b009294a572aa8b3c9b65876f87b7","last_reissued_at":"2026-05-18T03:34:14.334205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:14.334205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Examples of coarse expanding conformal maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kevin M. Pilgrim, Peter Haissinsky (LATP)","submitted_at":"2010-10-30T16:16:20Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0085","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":"1011.0085","created_at":"2026-05-18T03:34:14.334301+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.0085v1","created_at":"2026-05-18T03:34:14.334301+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0085","created_at":"2026-05-18T03:34:14.334301+00:00"},{"alias_kind":"pith_short_12","alias_value":"UWVOTYOD6H2I","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"UWVOTYOD6H2IEFXF","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"UWVOTYOD","created_at":"2026-05-18T12:26:15.391820+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/UWVOTYOD6H2IEFXFM6ZALHL2NH","json":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH.json","graph_json":"https://pith.science/api/pith-number/UWVOTYOD6H2IEFXFM6ZALHL2NH/graph.json","events_json":"https://pith.science/api/pith-number/UWVOTYOD6H2IEFXFM6ZALHL2NH/events.json","paper":"https://pith.science/paper/UWVOTYOD"},"agent_actions":{"view_html":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH","download_json":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH.json","view_paper":"https://pith.science/paper/UWVOTYOD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.0085&json=true","fetch_graph":"https://pith.science/api/pith-number/UWVOTYOD6H2IEFXFM6ZALHL2NH/graph.json","fetch_events":"https://pith.science/api/pith-number/UWVOTYOD6H2IEFXFM6ZALHL2NH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH/action/storage_attestation","attest_author":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH/action/author_attestation","sign_citation":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH/action/citation_signature","submit_replication":"https://pith.science/pith/UWVOTYOD6H2IEFXFM6ZALHL2NH/action/replication_record"}},"created_at":"2026-05-18T03:34:14.334301+00:00","updated_at":"2026-05-18T03:34:14.334301+00:00"}