{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C5JSXGLXMA6M4YHPWCU5XRGFAD","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":"4972a497af533f31360c55e1d1463f56b9178b1c3ee8c5c33af71472f9868705","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T01:41:11Z","title_canon_sha256":"6d5061725f36d0237f0718324274ffe65d293dfbf469494bf39d8f2dd7830cb6"},"schema_version":"1.0","source":{"id":"1609.02240","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02240","created_at":"2026-05-18T01:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02240v1","created_at":"2026-05-18T01:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02240","created_at":"2026-05-18T01:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"C5JSXGLXMA6M","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C5JSXGLXMA6M4YHP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C5JSXGLX","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:4a2c8c4007f5f31a6ebafb6cf993d7c664d228e4a36e2256b44270d20cd2d6e4","target":"graph","created_at":"2026-05-18T01:04:55Z","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":"In this paper, we study slices of the parameter space of cubic polynomials, up to affine conjugacy, given by a fixed value of the multiplier at a non-repelling fixed point. In particular, we study the location of the $main\\, cubioid$ in this parameter space. The $main\\, cubioid$ is the set of affine conjugacy classes of complex cubic polynomials that have certain dynamical properties generalizing those of polynomials $z^2+c$ for $c$ in the filled main cardioid.","authors_text":"Alexander Blokh, Lex Oversteegen, Vladlen Timorin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T01:41:11Z","title":"Slices of Parameter Space of Cubic Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02240","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":"sha256:2b5f75200e856d02422f1ad3bc716bb6d42418bb7600a7aec998497f1b39cd4d","target":"record","created_at":"2026-05-18T01:04:55Z","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":"4972a497af533f31360c55e1d1463f56b9178b1c3ee8c5c33af71472f9868705","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T01:41:11Z","title_canon_sha256":"6d5061725f36d0237f0718324274ffe65d293dfbf469494bf39d8f2dd7830cb6"},"schema_version":"1.0","source":{"id":"1609.02240","kind":"arxiv","version":1}},"canonical_sha256":"17532b9977603cce60efb0a9dbc4c500d58bf764b403782f3a8fdd486d5aa8ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17532b9977603cce60efb0a9dbc4c500d58bf764b403782f3a8fdd486d5aa8ee","first_computed_at":"2026-05-18T01:04:55.132262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:55.132262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tdPQW1ETs3UscIFuWwvkQLVQh2YU9R5mlrsFo2qspHcBEAHJJC/Ggbhtrm0iy7WGQtuQNcwfd6Q+Ro4IYhNrCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:55.132774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02240","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b5f75200e856d02422f1ad3bc716bb6d42418bb7600a7aec998497f1b39cd4d","sha256:4a2c8c4007f5f31a6ebafb6cf993d7c664d228e4a36e2256b44270d20cd2d6e4"],"state_sha256":"e6b77c7819f3c71cd116ff71b650f4b5b5be67fc88399df677bac4a5ce84a3d4"}