{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DXSBS5DVUSDR5I5YSGIG3YIBUK","short_pith_number":"pith:DXSBS5DV","schema_version":"1.0","canonical_sha256":"1de4197475a4871ea3b891906de101a2a5dfe47a96b36b57f072578c225b4a41","source":{"kind":"arxiv","id":"1512.05146","version":2},"attestation_state":"computed","paper":{"title":"Equi-topological entropy curves for skew tent maps in the square","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Gabriella Keszthelyi, Zoltan Buczolich","submitted_at":"2015-12-16T12:32:51Z","abstract_excerpt":"We consider skew tent maps $T_{{\\alpha}, {\\beta}}(x)$ such that $({\\alpha}, {\\beta})\\in[0,1]^{2}$ is the turning point of $T {_ {{\\alpha}, {\\beta}}}$, that is, $T_{{\\alpha}, {\\beta}}=\\frac{{\\beta}}{{\\alpha}}x$ for $0\\leq x \\leq {\\alpha}$ and $T_{{\\alpha}, {\\beta}}(x)=\\frac{{\\beta}}{1-{\\alpha}}(1-x)$ for $ {\\alpha}<x\\leq 1$. We denote by $ {\\underline{M}}=K({\\alpha}, {\\beta})$ the kneading sequence of $T_ {{\\alpha}, {\\beta}}$ and by $h({\\alpha}, {\\beta})$ its topological entropy. For a given kneading squence $ {\\underline{M}}$ we consider equi-kneading, (or equi-topological entropy, or isentrop"},"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":"1512.05146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-12-16T12:32:51Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"475eeae30d0981d20009da809645e18ef76152a8c788f796d2dc2d37ba90ebac","abstract_canon_sha256":"e9bdb27854441c99be3e98a725c7e80c51977e562c1c16ae01281493061250eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:34.797781Z","signature_b64":"hRrbO8Q4VppuEIBFwKaX7woebGF/0PBKrIUs/4tBSo4dxdnHNtuAYyI7PpVb6AqPLqy++kPypTKj6xdl0V0MAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1de4197475a4871ea3b891906de101a2a5dfe47a96b36b57f072578c225b4a41","last_reissued_at":"2026-05-18T01:16:34.797137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:34.797137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equi-topological entropy curves for skew tent maps in the square","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Gabriella Keszthelyi, Zoltan Buczolich","submitted_at":"2015-12-16T12:32:51Z","abstract_excerpt":"We consider skew tent maps $T_{{\\alpha}, {\\beta}}(x)$ such that $({\\alpha}, {\\beta})\\in[0,1]^{2}$ is the turning point of $T {_ {{\\alpha}, {\\beta}}}$, that is, $T_{{\\alpha}, {\\beta}}=\\frac{{\\beta}}{{\\alpha}}x$ for $0\\leq x \\leq {\\alpha}$ and $T_{{\\alpha}, {\\beta}}(x)=\\frac{{\\beta}}{1-{\\alpha}}(1-x)$ for $ {\\alpha}<x\\leq 1$. We denote by $ {\\underline{M}}=K({\\alpha}, {\\beta})$ the kneading sequence of $T_ {{\\alpha}, {\\beta}}$ and by $h({\\alpha}, {\\beta})$ its topological entropy. For a given kneading squence $ {\\underline{M}}$ we consider equi-kneading, (or equi-topological entropy, or isentrop"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05146","kind":"arxiv","version":2},"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":"1512.05146","created_at":"2026-05-18T01:16:34.797237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.05146v2","created_at":"2026-05-18T01:16:34.797237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05146","created_at":"2026-05-18T01:16:34.797237+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXSBS5DVUSDR","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXSBS5DVUSDR5I5Y","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXSBS5DV","created_at":"2026-05-18T12:29:17.054201+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/DXSBS5DVUSDR5I5YSGIG3YIBUK","json":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK.json","graph_json":"https://pith.science/api/pith-number/DXSBS5DVUSDR5I5YSGIG3YIBUK/graph.json","events_json":"https://pith.science/api/pith-number/DXSBS5DVUSDR5I5YSGIG3YIBUK/events.json","paper":"https://pith.science/paper/DXSBS5DV"},"agent_actions":{"view_html":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK","download_json":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK.json","view_paper":"https://pith.science/paper/DXSBS5DV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.05146&json=true","fetch_graph":"https://pith.science/api/pith-number/DXSBS5DVUSDR5I5YSGIG3YIBUK/graph.json","fetch_events":"https://pith.science/api/pith-number/DXSBS5DVUSDR5I5YSGIG3YIBUK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK/action/storage_attestation","attest_author":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK/action/author_attestation","sign_citation":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK/action/citation_signature","submit_replication":"https://pith.science/pith/DXSBS5DVUSDR5I5YSGIG3YIBUK/action/replication_record"}},"created_at":"2026-05-18T01:16:34.797237+00:00","updated_at":"2026-05-18T01:16:34.797237+00:00"}