{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:Q6HATM7F6QGK6OTRICRHZGL7N4","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":"2fe5d611f57ea707193cf2dd228e0a66c928c4e3080adbe5aac87b7905732338","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T19:25:26Z","title_canon_sha256":"86efa50b2c4fc4658ff74c733c7a32b7fbdffec4cc249891d0a8e30a2464ca6a"},"schema_version":"1.0","source":{"id":"2411.17836","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17836","created_at":"2026-07-05T11:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17836v2","created_at":"2026-07-05T11:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17836","created_at":"2026-07-05T11:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"Q6HATM7F6QGK","created_at":"2026-07-05T11:55:36Z"},{"alias_kind":"pith_short_16","alias_value":"Q6HATM7F6QGK6OTR","created_at":"2026-07-05T11:55:36Z"},{"alias_kind":"pith_short_8","alias_value":"Q6HATM7F","created_at":"2026-07-05T11:55:36Z"}],"graph_snapshots":[{"event_id":"sha256:6fedf98ecec62e6356d2543cb01909d6315b6b1beda486fbf3aaf00dd5e39bf1","target":"graph","created_at":"2026-07-05T11:55:36Z","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/2411.17836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the zero entropy locus for the Lozi maps. We first define a region $R$ in the parameter space and prove that for the parameters in $R$, the Lozi maps have the topological entropy zero. $R$ is contained in a larger region where every Lozi map has a unique period-two orbit, and that orbit is attracting. It is easy to see that the zero entropy locus cannot coincide with that larger region since it contains parameters for which the fixed point of the corresponding Lozi map has homoclinic points.","authors_text":"M. Misiurewicz, S. \\v{S}timac","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T19:25:26Z","title":"The zero entropy locus for the Lozi maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17836","kind":"arxiv","version":2},"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:c49fde8c6371af2292deb54c0e170f5aa8dbe89d6ecc3103b132e77d7787c520","target":"record","created_at":"2026-07-05T11:55:36Z","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":"2fe5d611f57ea707193cf2dd228e0a66c928c4e3080adbe5aac87b7905732338","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T19:25:26Z","title_canon_sha256":"86efa50b2c4fc4658ff74c733c7a32b7fbdffec4cc249891d0a8e30a2464ca6a"},"schema_version":"1.0","source":{"id":"2411.17836","kind":"arxiv","version":2}},"canonical_sha256":"878e09b3e5f40caf3a7140a27c997f6f3728ca14f27742fcee03075f03da9167","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"878e09b3e5f40caf3a7140a27c997f6f3728ca14f27742fcee03075f03da9167","first_computed_at":"2026-07-05T11:55:36.952924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:55:36.952924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HsMc08H19qiw2gQfbK9dSZgIHzyG/i2fsq8OJYpzQpnOgCnQHHdrlqq01wPRI5tZ6tCEbftM6S1OlbVZi5JzAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:55:36.953413Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17836","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c49fde8c6371af2292deb54c0e170f5aa8dbe89d6ecc3103b132e77d7787c520","sha256:6fedf98ecec62e6356d2543cb01909d6315b6b1beda486fbf3aaf00dd5e39bf1"],"state_sha256":"59bbb27120a16a1038fa5dbfd515f143a310624cfc7c5e92a60cbf0f314c4d64"}