{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZRDVZYZSFICSSOCUMQGJQCBQ57","short_pith_number":"pith:ZRDVZYZS","schema_version":"1.0","canonical_sha256":"cc475ce3322a05293854640c980830eff94727f5aa0d597319c9e6ec722768ff","source":{"kind":"arxiv","id":"1506.01456","version":2},"attestation_state":"computed","paper":{"title":"No smooth Julia sets for polynomial diffeomorphisms of $\\mathbb{C}^2$ with positive entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eric Bedford, Kyounghee Kim","submitted_at":"2015-06-04T03:15:42Z","abstract_excerpt":"For any polynomial diffeomorphism $f$ of $\\mathbb{C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is $C^1$ smooth as a manifold-with-boundary."},"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":"1506.01456","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-04T03:15:42Z","cross_cats_sorted":[],"title_canon_sha256":"7e19f4b8b6bff07859947a4001e385adcb4568c1204ff5198f8c3beb76cd051f","abstract_canon_sha256":"dc8d0aa74e6e90578131b0ef915da0cdb1d350de07a710599eab4e48e08ece6c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:37.922572Z","signature_b64":"mrg0uKcbm6owV1jjkQX21/zKCT9/FQ3N+xGY4JJVGY9F/eTNZkN3Wtkpp1altxBzWQr+1R/mMdMwgwkH8J0oDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc475ce3322a05293854640c980830eff94727f5aa0d597319c9e6ec722768ff","last_reissued_at":"2026-05-18T01:36:37.921971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:37.921971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"No smooth Julia sets for polynomial diffeomorphisms of $\\mathbb{C}^2$ with positive entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eric Bedford, Kyounghee Kim","submitted_at":"2015-06-04T03:15:42Z","abstract_excerpt":"For any polynomial diffeomorphism $f$ of $\\mathbb{C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is $C^1$ smooth as a manifold-with-boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01456","kind":"arxiv","version":2},"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":"1506.01456","created_at":"2026-05-18T01:36:37.922092+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01456v2","created_at":"2026-05-18T01:36:37.922092+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01456","created_at":"2026-05-18T01:36:37.922092+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZRDVZYZSFICS","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZRDVZYZSFICSSOCU","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZRDVZYZS","created_at":"2026-05-18T12:29:52.810259+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/ZRDVZYZSFICSSOCUMQGJQCBQ57","json":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57.json","graph_json":"https://pith.science/api/pith-number/ZRDVZYZSFICSSOCUMQGJQCBQ57/graph.json","events_json":"https://pith.science/api/pith-number/ZRDVZYZSFICSSOCUMQGJQCBQ57/events.json","paper":"https://pith.science/paper/ZRDVZYZS"},"agent_actions":{"view_html":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57","download_json":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57.json","view_paper":"https://pith.science/paper/ZRDVZYZS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01456&json=true","fetch_graph":"https://pith.science/api/pith-number/ZRDVZYZSFICSSOCUMQGJQCBQ57/graph.json","fetch_events":"https://pith.science/api/pith-number/ZRDVZYZSFICSSOCUMQGJQCBQ57/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57/action/storage_attestation","attest_author":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57/action/author_attestation","sign_citation":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57/action/citation_signature","submit_replication":"https://pith.science/pith/ZRDVZYZSFICSSOCUMQGJQCBQ57/action/replication_record"}},"created_at":"2026-05-18T01:36:37.922092+00:00","updated_at":"2026-05-18T01:36:37.922092+00:00"}