{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KBDIROYARFKGZUBQK2TWE23ESX","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":"f06a510bcdf8083c0609f1bda65ba7cf617aedfeb3b326ca2e7d8c3a48f03729","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-10-25T19:10:35Z","title_canon_sha256":"5491ec43389acd5d5f267882db07e65465b699e0988fc7f765b2c9053cc1b1cb"},"schema_version":"1.0","source":{"id":"1110.5612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5612","created_at":"2026-05-18T04:10:22Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5612v1","created_at":"2026-05-18T04:10:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5612","created_at":"2026-05-18T04:10:22Z"},{"alias_kind":"pith_short_12","alias_value":"KBDIROYARFKG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KBDIROYARFKGZUBQ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KBDIROYA","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:09baee3aff76ce8203290da9f99f46077c1a6f977b130ca30d466a40b095ead5","target":"graph","created_at":"2026-05-18T04:10:22Z","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":"We obtain properties of the pairwise sensitive homeomorphisms defined in \\cite{cj}. For instance, we prove that their sets of points with converging semi-orbits have measure zero, that such homeomorphisms do not exist in a compact interval and, in the circle, they are the Denjoy ones. Applications including alternative proofs of well-known facts in expansive systems are given.","authors_text":"C. A. Morales","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-10-25T19:10:35Z","title":"On pairwise sensitive homeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5612","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":"sha256:07662a0936c50249474a8697c38b6330859c81681b8aaa797b86671ca50f0353","target":"record","created_at":"2026-05-18T04:10:22Z","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":"f06a510bcdf8083c0609f1bda65ba7cf617aedfeb3b326ca2e7d8c3a48f03729","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-10-25T19:10:35Z","title_canon_sha256":"5491ec43389acd5d5f267882db07e65465b699e0988fc7f765b2c9053cc1b1cb"},"schema_version":"1.0","source":{"id":"1110.5612","kind":"arxiv","version":1}},"canonical_sha256":"504688bb0089546cd03056a7626b6495fcfff5b32e6661e9f85cab81e68eb9aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"504688bb0089546cd03056a7626b6495fcfff5b32e6661e9f85cab81e68eb9aa","first_computed_at":"2026-05-18T04:10:22.507165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:22.507165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jlNsLzfuDa2rfO+6FRU2hasFhdY7kZFu1aSgmR4ljSLJFA5tShpem2nMOdA0lYz4thuWQguQd1bgyk3+e6rDBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:22.507600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07662a0936c50249474a8697c38b6330859c81681b8aaa797b86671ca50f0353","sha256:09baee3aff76ce8203290da9f99f46077c1a6f977b130ca30d466a40b095ead5"],"state_sha256":"237a989f7b76e9b1f602023d548c374c705497cec9490c21ed360aa08b5e9787"}