{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4LG2KAG5Y3WFCTCAAXYMCZ7QQ7","short_pith_number":"pith:4LG2KAG5","schema_version":"1.0","canonical_sha256":"e2cda500ddc6ec514c4005f0c167f087ee5e5ae79d63ba222af7f60d089984bd","source":{"kind":"arxiv","id":"1703.04668","version":1},"attestation_state":"computed","paper":{"title":"Non computable Mandelbrot-like set for a one-parameter complex family","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Cristobal Rojas, Daniel Coronel, Michael Yampolsky","submitted_at":"2017-03-14T18:55:03Z","abstract_excerpt":"We show the existence of computable complex numbers $\\lambda$ for which the bifurcation locus of the one parameter complex family $f_{b}(z) = \\lambda z + b z^{2} + z^{3}$ is not Turing computable."},"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":"1703.04668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-14T18:55:03Z","cross_cats_sorted":[],"title_canon_sha256":"e8804f8c35de515e4fa44266c025082cd0f8e0c39b96e8bdb9023f0f4e6cc9ec","abstract_canon_sha256":"4ca327828c39ca83da83e72ebf0e4344b210d87f49f5634185b48cf507adc61a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:39.473272Z","signature_b64":"rsCKRwOvYJlGVGeMsAd6L3TcyBZOJciaI3fBV3/oWTY571bLmU589bkafYHbF2ObNpnhfV0+6p06YQk42VocBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2cda500ddc6ec514c4005f0c167f087ee5e5ae79d63ba222af7f60d089984bd","last_reissued_at":"2026-05-18T00:48:39.472761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:39.472761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non computable Mandelbrot-like set for a one-parameter complex family","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Cristobal Rojas, Daniel Coronel, Michael Yampolsky","submitted_at":"2017-03-14T18:55:03Z","abstract_excerpt":"We show the existence of computable complex numbers $\\lambda$ for which the bifurcation locus of the one parameter complex family $f_{b}(z) = \\lambda z + b z^{2} + z^{3}$ is not Turing computable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04668","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":"1703.04668","created_at":"2026-05-18T00:48:39.472834+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.04668v1","created_at":"2026-05-18T00:48:39.472834+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04668","created_at":"2026-05-18T00:48:39.472834+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LG2KAG5Y3WF","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LG2KAG5Y3WFCTCA","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LG2KAG5","created_at":"2026-05-18T12:31:00.734936+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/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7","json":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7.json","graph_json":"https://pith.science/api/pith-number/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/graph.json","events_json":"https://pith.science/api/pith-number/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/events.json","paper":"https://pith.science/paper/4LG2KAG5"},"agent_actions":{"view_html":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7","download_json":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7.json","view_paper":"https://pith.science/paper/4LG2KAG5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.04668&json=true","fetch_graph":"https://pith.science/api/pith-number/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/action/storage_attestation","attest_author":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/action/author_attestation","sign_citation":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/action/citation_signature","submit_replication":"https://pith.science/pith/4LG2KAG5Y3WFCTCAAXYMCZ7QQ7/action/replication_record"}},"created_at":"2026-05-18T00:48:39.472834+00:00","updated_at":"2026-05-18T00:48:39.472834+00:00"}