{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ISXYYQZJJIKELMDI4TIYPH5GMN","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":"5ca05b24b82984a12c6ad074862566ad771476e44380b48fe67a97184348f571","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-14T17:45:03Z","title_canon_sha256":"5c7bbb3777726971105015be0c8ea2bf7fd6e348685882f6ec63ee12d276985e"},"schema_version":"1.0","source":{"id":"1705.05009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05009","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05009v1","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05009","created_at":"2026-05-18T00:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"ISXYYQZJJIKE","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"ISXYYQZJJIKELMDI","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"ISXYYQZJ","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:a0b51209c1426a9553f2497c4efbd85c89559dc72d11d612b7476e493263cdf9","target":"graph","created_at":"2026-05-18T00:07:18Z","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 consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to the set $\\{\\frac{\\pi}{2},\\frac{2\\pi}{3},\\frac{\\pi}{4}\\}$, we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.","authors_text":"Idrissa Kabor\\'e, Nicolas B\\'edaride","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-14T17:45:03Z","title":"Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05009","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":"sha256:63b6888fea8023d5e62d491c4538efae9ea48d3973807ad44e5fdafce4311af4","target":"record","created_at":"2026-05-18T00:07:18Z","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":"5ca05b24b82984a12c6ad074862566ad771476e44380b48fe67a97184348f571","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-14T17:45:03Z","title_canon_sha256":"5c7bbb3777726971105015be0c8ea2bf7fd6e348685882f6ec63ee12d276985e"},"schema_version":"1.0","source":{"id":"1705.05009","kind":"arxiv","version":1}},"canonical_sha256":"44af8c43294a1445b068e4d1879fa66364486d30a1f0fb068ebd8b9af7e20ed1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44af8c43294a1445b068e4d1879fa66364486d30a1f0fb068ebd8b9af7e20ed1","first_computed_at":"2026-05-18T00:07:18.659078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:18.659078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JSwMUB6EIIEsZ4TswI87daXZz01Wvo+L2p8RJ5jrf+cTYBaPIzQgbEv2nviNAYe023rjKiiyLkFQcd7AkRtsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:18.659696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63b6888fea8023d5e62d491c4538efae9ea48d3973807ad44e5fdafce4311af4","sha256:a0b51209c1426a9553f2497c4efbd85c89559dc72d11d612b7476e493263cdf9"],"state_sha256":"80d966181ce7c0ea22c2c0d83d4af7736178964fb74ae329a10aa2fcf8693e07"}