{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YRQGZFWG6E44SUWK7MNAFDF4XL","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":"2440220db80a15d1bd2f57989b48cd82a6bff105c75aadd8882e249c4461664d","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-01-05T19:00:00Z","title_canon_sha256":"01fa5f6e7d2539c3583ccb551b9cae8c44e8e8017fd9d6485da0b23f79994886"},"schema_version":"1.0","source":{"id":"2101.01721","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.01721","created_at":"2026-07-05T03:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"2101.01721v3","created_at":"2026-07-05T03:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.01721","created_at":"2026-07-05T03:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"YRQGZFWG6E44","created_at":"2026-07-05T03:57:39Z"},{"alias_kind":"pith_short_16","alias_value":"YRQGZFWG6E44SUWK","created_at":"2026-07-05T03:57:39Z"},{"alias_kind":"pith_short_8","alias_value":"YRQGZFWG","created_at":"2026-07-05T03:57:39Z"}],"graph_snapshots":[{"event_id":"sha256:55ee5ab81bc1f3273f60c520583d46fcb51091b15eb124fa7c4d3bfbe821b3fb","target":"graph","created_at":"2026-07-05T03:57:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.01721/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a phenomenon observed by W. Thurston wherein one constructs a pseudo-Anosov homeomorphism on the limit set of a certain lift of a piecewise-linear expanding interval map. We reconcile this construction with a special subclass of generalized pseudo-Anosovs, first defined by de Carvalho. From there we classify the circumstances under which this construction produces a pseudo-Anosov. As an application, we produce for each $g \\geq 1$ a pseudo-Anosov $\\phi_g$ on the surface of genus $g$ that preserves an algebraically primitive translation structure and whose dilatation $\\lambda_g$ i","authors_text":"Ethan Farber","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-01-05T19:00:00Z","title":"Constructing pseudo-Anosovs from expanding interval maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.01721","kind":"arxiv","version":3},"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":"sha256:601d31a6c89da2825ae1c24fc2cce0983369e5ba5d261c2c63f6d98fc67e2959","target":"record","created_at":"2026-07-05T03:57:39Z","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":"2440220db80a15d1bd2f57989b48cd82a6bff105c75aadd8882e249c4461664d","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-01-05T19:00:00Z","title_canon_sha256":"01fa5f6e7d2539c3583ccb551b9cae8c44e8e8017fd9d6485da0b23f79994886"},"schema_version":"1.0","source":{"id":"2101.01721","kind":"arxiv","version":3}},"canonical_sha256":"c4606c96c6f139c952cafb1a028cbcbafee6c046e15b3cf79b6171f0c93d13e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4606c96c6f139c952cafb1a028cbcbafee6c046e15b3cf79b6171f0c93d13e8","first_computed_at":"2026-07-05T03:57:39.692834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:57:39.692834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vRDH9XcApv9/pZ1vcLj9bTMYtXBlwLaOikfgS/HfxF27nltUiuNUSzjjKQZ2BpRU31dG8Fnm20OWPqviHCjYDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:57:39.693257Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.01721","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:601d31a6c89da2825ae1c24fc2cce0983369e5ba5d261c2c63f6d98fc67e2959","sha256:55ee5ab81bc1f3273f60c520583d46fcb51091b15eb124fa7c4d3bfbe821b3fb"],"state_sha256":"f7d959029ea916f89f2aae2f4c11e741df368a998ac7a3483938fa871515af82"}