{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6M6XILJRZR7FUMHCHDBG2KERJA","short_pith_number":"pith:6M6XILJR","schema_version":"1.0","canonical_sha256":"f33d742d31cc7e5a30e238c26d2891480a0d303a004ddac8f317104907d06296","source":{"kind":"arxiv","id":"1003.5994","version":1},"attestation_state":"computed","paper":{"title":"A q-deformed logistic map and its implications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"R.Parthasarathy, Subhashish Banerjee","submitted_at":"2010-03-31T09:13:42Z","abstract_excerpt":"A new  q-deformed logistic map is  proposed and it is  found to have concavity in  parts of the  x-space.  Its one-cycle  and two-cycle non-trivial  fixed  points  are  obtained  which  are  found  to  be qualitatively and  quantitatively different from those  of the usual logistic map. The stability of the proposed q-logistic map is studied using  Lyapunov exponent  and  with a  change  in the  value of  the deformation parameter q, one  is able to  go from the  chaotic to regular dynamical regime. The implications of this q-logistic map on Parrondo's paradox are examined."},"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":"1003.5994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-03-31T09:13:42Z","cross_cats_sorted":[],"title_canon_sha256":"e1cc75fca8cf30e39ad493f19269262c8804cbe99d189485e74b150246db0b70","abstract_canon_sha256":"594a46485abeba39a4e798f0ca9f0cd4c560d71f48a1adc06fbc0d90c3e82a26"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:15.535692Z","signature_b64":"8+SNUr1iwN00sLd/32LziZApLJiiJluW1rGUSRbczV6yVCaOGa8vjUeyhGUXftQZzYCXXqjX13lIhdljqtF7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f33d742d31cc7e5a30e238c26d2891480a0d303a004ddac8f317104907d06296","last_reissued_at":"2026-05-18T02:08:15.535293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:15.535293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A q-deformed logistic map and its implications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"R.Parthasarathy, Subhashish Banerjee","submitted_at":"2010-03-31T09:13:42Z","abstract_excerpt":"A new  q-deformed logistic map is  proposed and it is  found to have concavity in  parts of the  x-space.  Its one-cycle  and two-cycle non-trivial  fixed  points  are  obtained  which  are  found  to  be qualitatively and  quantitatively different from those  of the usual logistic map. The stability of the proposed q-logistic map is studied using  Lyapunov exponent  and  with a  change  in the  value of  the deformation parameter q, one  is able to  go from the  chaotic to regular dynamical regime. The implications of this q-logistic map on Parrondo's paradox are examined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5994","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":"1003.5994","created_at":"2026-05-18T02:08:15.535370+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.5994v1","created_at":"2026-05-18T02:08:15.535370+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5994","created_at":"2026-05-18T02:08:15.535370+00:00"},{"alias_kind":"pith_short_12","alias_value":"6M6XILJRZR7F","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6M6XILJRZR7FUMHC","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6M6XILJR","created_at":"2026-05-18T12:26:04.259169+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/6M6XILJRZR7FUMHCHDBG2KERJA","json":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA.json","graph_json":"https://pith.science/api/pith-number/6M6XILJRZR7FUMHCHDBG2KERJA/graph.json","events_json":"https://pith.science/api/pith-number/6M6XILJRZR7FUMHCHDBG2KERJA/events.json","paper":"https://pith.science/paper/6M6XILJR"},"agent_actions":{"view_html":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA","download_json":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA.json","view_paper":"https://pith.science/paper/6M6XILJR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.5994&json=true","fetch_graph":"https://pith.science/api/pith-number/6M6XILJRZR7FUMHCHDBG2KERJA/graph.json","fetch_events":"https://pith.science/api/pith-number/6M6XILJRZR7FUMHCHDBG2KERJA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA/action/storage_attestation","attest_author":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA/action/author_attestation","sign_citation":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA/action/citation_signature","submit_replication":"https://pith.science/pith/6M6XILJRZR7FUMHCHDBG2KERJA/action/replication_record"}},"created_at":"2026-05-18T02:08:15.535370+00:00","updated_at":"2026-05-18T02:08:15.535370+00:00"}