{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:C22IZPUDXA3JEMSOBBZ3NHQ67X","short_pith_number":"pith:C22IZPUD","schema_version":"1.0","canonical_sha256":"16b48cbe83b83692324e0873b69e1efdf98f889e20469bf88416d34160cd5e1b","source":{"kind":"arxiv","id":"1701.05816","version":1},"attestation_state":"computed","paper":{"title":"Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anna Cima, Armengol Gasull, V\\'ictor Ma\\~nosa","submitted_at":"2017-01-20T14:54:19Z","abstract_excerpt":"We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox."},"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":"1701.05816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-20T14:54:19Z","cross_cats_sorted":[],"title_canon_sha256":"f0d709fc5424544d842adc504147afef8f61984cbf33e3674e5dbf7f4c4ccbf3","abstract_canon_sha256":"115b2832868ce8b5e5d0a1f8c7c24bd87544b821112f13f30e8121ffd6ed77fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:12.904658Z","signature_b64":"/MnzXl8WlXiL7UrkSKpGlgFo8TGcECrb3JGblzhVaGrSd00Vck+malU6hGH7yMcv6YE81O5DLfsYgOnO47gxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16b48cbe83b83692324e0873b69e1efdf98f889e20469bf88416d34160cd5e1b","last_reissued_at":"2026-05-18T00:26:12.904139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:12.904139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anna Cima, Armengol Gasull, V\\'ictor Ma\\~nosa","submitted_at":"2017-01-20T14:54:19Z","abstract_excerpt":"We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05816","kind":"arxiv","version":1},"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":"1701.05816","created_at":"2026-05-18T00:26:12.904237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.05816v1","created_at":"2026-05-18T00:26:12.904237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05816","created_at":"2026-05-18T00:26:12.904237+00:00"},{"alias_kind":"pith_short_12","alias_value":"C22IZPUDXA3J","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"C22IZPUDXA3JEMSO","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"C22IZPUD","created_at":"2026-05-18T12:31:08.081275+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/C22IZPUDXA3JEMSOBBZ3NHQ67X","json":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X.json","graph_json":"https://pith.science/api/pith-number/C22IZPUDXA3JEMSOBBZ3NHQ67X/graph.json","events_json":"https://pith.science/api/pith-number/C22IZPUDXA3JEMSOBBZ3NHQ67X/events.json","paper":"https://pith.science/paper/C22IZPUD"},"agent_actions":{"view_html":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X","download_json":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X.json","view_paper":"https://pith.science/paper/C22IZPUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.05816&json=true","fetch_graph":"https://pith.science/api/pith-number/C22IZPUDXA3JEMSOBBZ3NHQ67X/graph.json","fetch_events":"https://pith.science/api/pith-number/C22IZPUDXA3JEMSOBBZ3NHQ67X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X/action/storage_attestation","attest_author":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X/action/author_attestation","sign_citation":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X/action/citation_signature","submit_replication":"https://pith.science/pith/C22IZPUDXA3JEMSOBBZ3NHQ67X/action/replication_record"}},"created_at":"2026-05-18T00:26:12.904237+00:00","updated_at":"2026-05-18T00:26:12.904237+00:00"}