{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:AIS66TOLGJH4F5AYKQOTPEIWCH","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":"8de13ab3e2e3cc43af63aaa6d46af5a4343c56c4cff57357a276f44bb43d7e7b","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-09-05T16:19:02Z","title_canon_sha256":"9b854905ac43343537a4dc796da6160ade63160c2c26884014d3f6524fbb4a2e"},"schema_version":"1.0","source":{"id":"0809.1071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1071","created_at":"2026-05-18T01:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1071v1","created_at":"2026-05-18T01:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1071","created_at":"2026-05-18T01:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"AIS66TOLGJH4","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"AIS66TOLGJH4F5AY","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"AIS66TOL","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:e178c828ec3f9c420c508a5ed19033b5a0aa0fd0f57fe3c4b283467bafca8a68","target":"graph","created_at":"2026-05-18T01:22:10Z","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":"Let $P$ be a polynomial of degree $d$ with a Cremer point $p$ and no repelling or parabolic periodic bi-accessible points. We show that there are two types of such Julia sets $J_P$. The \\emph{red dwarf} $J_P$ are nowhere connected im kleinen and such that the intersection of all impressions of external angles is a continuum containing $p$ and the orbits of all critical images. The \\emph{solar} $J_P$ are such that every angle with dense orbit has a degenerate impression disjoint from other impressions and $J_P$ is connected im kleinen at its landing point. We study bi-accessible points and loca","authors_text":"A. Blokh, L. Oversteegen","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-09-05T16:19:02Z","title":"The Julia sets of basic uniCremer polynomials of arbitrary degree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1071","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":"sha256:68d9f2c430d5131dd3b0b31bf8475abae8967419f41b92dcf02fa8dbae298279","target":"record","created_at":"2026-05-18T01:22:10Z","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":"8de13ab3e2e3cc43af63aaa6d46af5a4343c56c4cff57357a276f44bb43d7e7b","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-09-05T16:19:02Z","title_canon_sha256":"9b854905ac43343537a4dc796da6160ade63160c2c26884014d3f6524fbb4a2e"},"schema_version":"1.0","source":{"id":"0809.1071","kind":"arxiv","version":1}},"canonical_sha256":"0225ef4dcb324fc2f418541d37911611eab9d30e2ef0ac3294edd96c20c27e48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0225ef4dcb324fc2f418541d37911611eab9d30e2ef0ac3294edd96c20c27e48","first_computed_at":"2026-05-18T01:22:10.803949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:10.803949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b0mTzxVrir7OBwpGmZVxi++2/1b/cf9G149bwcjSl1KtW1350g8b0CgM1CToTqSwDz8vfgRtg819vzLwSlSnAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:10.804417Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68d9f2c430d5131dd3b0b31bf8475abae8967419f41b92dcf02fa8dbae298279","sha256:e178c828ec3f9c420c508a5ed19033b5a0aa0fd0f57fe3c4b283467bafca8a68"],"state_sha256":"05ecd8fd4c0d62013b1b4afeaa7f2c2a034057a46385207cb0ec3363c9ac06cd"}