{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4PTNJSKCYH3WZKH3C6XQBYCJBP","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":"e924a69590d69f5eb68720f83946c835587a3807d22c744a4834c6b98ddeccb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-01-25T05:45:46Z","title_canon_sha256":"6a7b3e722d339164fbefc9b6ae3b412d65ce80b3eec6f8238b8ba4627f31bc0f"},"schema_version":"1.0","source":{"id":"1201.5186","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5186","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5186v1","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5186","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"4PTNJSKCYH3W","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4PTNJSKCYH3WZKH3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4PTNJSKC","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:de3b9e4ed31dc8c8d8c5e097d6e0890d74aa95bade6e7ce61a659c32d137fb38","target":"graph","created_at":"2026-05-18T04:03:55Z","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":"We show that the supremum for $c$ real of the Hausdorff dimension of the Julia set of the polynomial $z\\mapsto z^d+c$ ($d$ is an even natural number) is greater than $2d/(d+1)$.","authors_text":"Genadi Levin, Michel Zinsmeister (MAPMO, PMC)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-01-25T05:45:46Z","title":"On the Hausdorff dimension of Julia sets of some real polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5186","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":"sha256:4f7df4bf292b40d6c0711344af38d6672ae45c1021e988013cfa18dfba28d78b","target":"record","created_at":"2026-05-18T04:03:55Z","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":"e924a69590d69f5eb68720f83946c835587a3807d22c744a4834c6b98ddeccb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-01-25T05:45:46Z","title_canon_sha256":"6a7b3e722d339164fbefc9b6ae3b412d65ce80b3eec6f8238b8ba4627f31bc0f"},"schema_version":"1.0","source":{"id":"1201.5186","kind":"arxiv","version":1}},"canonical_sha256":"e3e6d4c942c1f76ca8fb17af00e0490beb7eab55ac1ad5e61d69d1ff9f1486bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3e6d4c942c1f76ca8fb17af00e0490beb7eab55ac1ad5e61d69d1ff9f1486bd","first_computed_at":"2026-05-18T04:03:55.402396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:55.402396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NZuwDjGdWTA5I6An6oSEXgFehMXtUOg09+XMS7tImMsLL9pFcNUauv5StBOPVxaF9v8mZa4vhNDuQjkk6IlIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:55.402943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5186","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f7df4bf292b40d6c0711344af38d6672ae45c1021e988013cfa18dfba28d78b","sha256:de3b9e4ed31dc8c8d8c5e097d6e0890d74aa95bade6e7ce61a659c32d137fb38"],"state_sha256":"fb4e25311da96f26197d5cc5f9a4a7156fdd2659b93ab44560ca72fee80ebfc6"}