{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MVONJPV62B5NKCCSXSSWTL4BDS","short_pith_number":"pith:MVONJPV6","canonical_record":{"source":{"id":"2411.17227","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T08:49:05Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"26476e3ce51c8d7ca7f1ef758e69b0b8c7ba5361fb97ce416392b4ef6eeaf1cc","abstract_canon_sha256":"a68838c44073fb17b69fdc327944877d34f3e76e6e40654dcf5ed79b3e82bda4"},"schema_version":"1.0"},"canonical_sha256":"655cd4bebed07ad50852bca569af811ca32421c7e5913e6922bc9f068ecfc6f4","source":{"kind":"arxiv","id":"2411.17227","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17227","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17227v1","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17227","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"MVONJPV62B5N","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"pith_short_16","alias_value":"MVONJPV62B5NKCCS","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"pith_short_8","alias_value":"MVONJPV6","created_at":"2026-07-05T09:40:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MVONJPV62B5NKCCSXSSWTL4BDS","target":"record","payload":{"canonical_record":{"source":{"id":"2411.17227","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T08:49:05Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"26476e3ce51c8d7ca7f1ef758e69b0b8c7ba5361fb97ce416392b4ef6eeaf1cc","abstract_canon_sha256":"a68838c44073fb17b69fdc327944877d34f3e76e6e40654dcf5ed79b3e82bda4"},"schema_version":"1.0"},"canonical_sha256":"655cd4bebed07ad50852bca569af811ca32421c7e5913e6922bc9f068ecfc6f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:29.293374Z","signature_b64":"ZEMlmJiOQM7dKd+xio5bFWdkqnMqtEfH7vbZDeFPoQztisXKbsQBOlRbUJDNp0lL5NKD6VHP8syTtULA9XkqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"655cd4bebed07ad50852bca569af811ca32421c7e5913e6922bc9f068ecfc6f4","last_reissued_at":"2026-07-05T09:40:29.292930Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:29.292930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.17227","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:40:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wdN0bwSapD0gsUIh7qiooutmCpSeNF32tQKVvfzafaKLUni/5ekMwsKGdojybnSTLxddgUo5CurBmbPVEFfzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:17:48.910987Z"},"content_sha256":"a2a06586c725e2288219093bb5001a2e2c9ad803fdbb65fed13c872b050a8b8e","schema_version":"1.0","event_id":"sha256:a2a06586c725e2288219093bb5001a2e2c9ad803fdbb65fed13c872b050a8b8e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MVONJPV62B5NKCCSXSSWTL4BDS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniformization of gasket Julia sets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DS","authors_text":"Dimitrios Ntalampekos, Yusheng Luo","submitted_at":"2024-11-26T08:49:05Z","abstract_excerpt":"The object of the paper is to characterize gasket Julia sets of rational maps that can be uniformized by round gaskets. We restrict to rational maps without critical points on the Julia set. Under these conditions, we prove that a Julia set can be quasiconformally uniformized by a round gasket if and only if it is a fat gasket, i.e., boundaries of Fatou components intersect tangentially. We also prove that a Julia set can be uniformized by a round gasket with a David homeomorphism if and only if every Fatou component is a quasidisk; equivalently, there are no parabolic cycles of multiplicity 2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17227","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.17227/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:40:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pQNXHLnsJnPvazKULK7VOhjSHDto2Law1SkpplxfAV9s4lsRuaMTptSMCxi8t3bo6+pFnQHTZb13Pvs/ZFb6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:17:48.911929Z"},"content_sha256":"b24e02c310d685b38ca4257b3ae8112b6c267a2e0c2973e8339898f33129824f","schema_version":"1.0","event_id":"sha256:b24e02c310d685b38ca4257b3ae8112b6c267a2e0c2973e8339898f33129824f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVONJPV62B5NKCCSXSSWTL4BDS/bundle.json","state_url":"https://pith.science/pith/MVONJPV62B5NKCCSXSSWTL4BDS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVONJPV62B5NKCCSXSSWTL4BDS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T23:17:48Z","links":{"resolver":"https://pith.science/pith/MVONJPV62B5NKCCSXSSWTL4BDS","bundle":"https://pith.science/pith/MVONJPV62B5NKCCSXSSWTL4BDS/bundle.json","state":"https://pith.science/pith/MVONJPV62B5NKCCSXSSWTL4BDS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVONJPV62B5NKCCSXSSWTL4BDS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MVONJPV62B5NKCCSXSSWTL4BDS","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":"a68838c44073fb17b69fdc327944877d34f3e76e6e40654dcf5ed79b3e82bda4","cross_cats_sorted":["math.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T08:49:05Z","title_canon_sha256":"26476e3ce51c8d7ca7f1ef758e69b0b8c7ba5361fb97ce416392b4ef6eeaf1cc"},"schema_version":"1.0","source":{"id":"2411.17227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17227","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17227v1","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17227","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"MVONJPV62B5N","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"pith_short_16","alias_value":"MVONJPV62B5NKCCS","created_at":"2026-07-05T09:40:29Z"},{"alias_kind":"pith_short_8","alias_value":"MVONJPV6","created_at":"2026-07-05T09:40:29Z"}],"graph_snapshots":[{"event_id":"sha256:b24e02c310d685b38ca4257b3ae8112b6c267a2e0c2973e8339898f33129824f","target":"graph","created_at":"2026-07-05T09:40:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.17227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The object of the paper is to characterize gasket Julia sets of rational maps that can be uniformized by round gaskets. We restrict to rational maps without critical points on the Julia set. Under these conditions, we prove that a Julia set can be quasiconformally uniformized by a round gasket if and only if it is a fat gasket, i.e., boundaries of Fatou components intersect tangentially. We also prove that a Julia set can be uniformized by a round gasket with a David homeomorphism if and only if every Fatou component is a quasidisk; equivalently, there are no parabolic cycles of multiplicity 2","authors_text":"Dimitrios Ntalampekos, Yusheng Luo","cross_cats":["math.CV"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T08:49:05Z","title":"Uniformization of gasket Julia sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17227","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:a2a06586c725e2288219093bb5001a2e2c9ad803fdbb65fed13c872b050a8b8e","target":"record","created_at":"2026-07-05T09:40:29Z","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":"a68838c44073fb17b69fdc327944877d34f3e76e6e40654dcf5ed79b3e82bda4","cross_cats_sorted":["math.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T08:49:05Z","title_canon_sha256":"26476e3ce51c8d7ca7f1ef758e69b0b8c7ba5361fb97ce416392b4ef6eeaf1cc"},"schema_version":"1.0","source":{"id":"2411.17227","kind":"arxiv","version":1}},"canonical_sha256":"655cd4bebed07ad50852bca569af811ca32421c7e5913e6922bc9f068ecfc6f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"655cd4bebed07ad50852bca569af811ca32421c7e5913e6922bc9f068ecfc6f4","first_computed_at":"2026-07-05T09:40:29.292930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:29.292930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZEMlmJiOQM7dKd+xio5bFWdkqnMqtEfH7vbZDeFPoQztisXKbsQBOlRbUJDNp0lL5NKD6VHP8syTtULA9XkqBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:29.293374Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2a06586c725e2288219093bb5001a2e2c9ad803fdbb65fed13c872b050a8b8e","sha256:b24e02c310d685b38ca4257b3ae8112b6c267a2e0c2973e8339898f33129824f"],"state_sha256":"5c21851445374eb1c5302ee72438a4b81b4c346438c9a7b568150ab88f56d0d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+gvqD1EfWhT2imL1yjbsIdR5mfv8ah3fG5eFXRbfeMm61MLok3hMICMeNvzpxNiqe3H2u4R+iwwOFycZ9j2CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T23:17:48.918537Z","bundle_sha256":"94ccea7dd3dd10173c6fd1327f349a84f8262f35a8fd03430b627540e703571d"}}