{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Q6GN5RILPNXBICQHSCN7DYKLQ7","short_pith_number":"pith:Q6GN5RIL","canonical_record":{"source":{"id":"1408.2418","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-11T14:27:35Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"131f7fa82540af1f1a51f193d9849b2db5ef517a6ccf3a856763e8df991630ad","abstract_canon_sha256":"61a7cde9bb5a5f033d4bd8aec902975e0c558af6522606f41804187e7dcd81f8"},"schema_version":"1.0"},"canonical_sha256":"878cdec50b7b6e140a07909bf1e14b87e757a7d8db7de8ad725eebaa0c5999a8","source":{"kind":"arxiv","id":"1408.2418","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2418","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2418v3","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2418","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"pith_short_12","alias_value":"Q6GN5RILPNXB","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"Q6GN5RILPNXBICQH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"Q6GN5RIL","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Q6GN5RILPNXBICQHSCN7DYKLQ7","target":"record","payload":{"canonical_record":{"source":{"id":"1408.2418","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-11T14:27:35Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"131f7fa82540af1f1a51f193d9849b2db5ef517a6ccf3a856763e8df991630ad","abstract_canon_sha256":"61a7cde9bb5a5f033d4bd8aec902975e0c558af6522606f41804187e7dcd81f8"},"schema_version":"1.0"},"canonical_sha256":"878cdec50b7b6e140a07909bf1e14b87e757a7d8db7de8ad725eebaa0c5999a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:35.760673Z","signature_b64":"2CPbK09CX389q7r2TGq5zUi9AvnXvhpbghtjR/WCmsl55pn8Gd4mW0ZGg/HfEET29OZeHmLbl45mIi0SUsYcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"878cdec50b7b6e140a07909bf1e14b87e757a7d8db7de8ad725eebaa0c5999a8","last_reissued_at":"2026-05-18T02:31:35.760275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:35.760275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.2418","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xBu7oEup4XMY6QPpiFLN2ynozcyLZ2Sc+Gn4ki3vBWo2ApxQ0UU6bcT7eZGy73xSxMLin5aUs9aKdk3NiulvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:55:48.438403Z"},"content_sha256":"fecc15759d685df88d4da4625bd36d0e21e8cba3a4564214516c24d6f985b959","schema_version":"1.0","event_id":"sha256:fecc15759d685df88d4da4625bd36d0e21e8cba3a4564214516c24d6f985b959"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Q6GN5RILPNXBICQHSCN7DYKLQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unicritical Blaschke products and domains of ellipticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CV","authors_text":"Alastair Fletcher","submitted_at":"2014-08-11T14:27:35Z","abstract_excerpt":"Elliptic M\\\"obius transformations of the unit disk are those for which there is a fixed point in $\\mathbb{D}$. It is not hard to classify which M\\\"obius transformations are elliptic in terms of the parameters. The set of parameters can be identified with the solid torus $S^1 \\times \\mathbb{D}$, and the set of elliptic parameters is called the domain of ellipticity. In this paper, we study the domain of ellipticity for non-trivial unicritical Blaschke products. We will also study the set corresponding to the Mandelbrot set for this family, and show how it can be obtained from the domain of elli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2418","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfNfTrjZ7aSSZZH5iY0MQ1dTbKbzxP1DIW1VeczLyradnBnh/4gKEyt8Q7K9Ki6dF5l6WjFZs9iY/KnHTEB0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:55:48.439077Z"},"content_sha256":"f5ed0567c10dc718e604c6bd38fc0624b4f19fee38044d15ceb34b83c0eed5f2","schema_version":"1.0","event_id":"sha256:f5ed0567c10dc718e604c6bd38fc0624b4f19fee38044d15ceb34b83c0eed5f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7/bundle.json","state_url":"https://pith.science/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7/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":"2026-05-27T08:55:48Z","links":{"resolver":"https://pith.science/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7","bundle":"https://pith.science/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7/bundle.json","state":"https://pith.science/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q6GN5RILPNXBICQHSCN7DYKLQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Q6GN5RILPNXBICQHSCN7DYKLQ7","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":"61a7cde9bb5a5f033d4bd8aec902975e0c558af6522606f41804187e7dcd81f8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-11T14:27:35Z","title_canon_sha256":"131f7fa82540af1f1a51f193d9849b2db5ef517a6ccf3a856763e8df991630ad"},"schema_version":"1.0","source":{"id":"1408.2418","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2418","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2418v3","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2418","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"pith_short_12","alias_value":"Q6GN5RILPNXB","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"Q6GN5RILPNXBICQH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"Q6GN5RIL","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:f5ed0567c10dc718e604c6bd38fc0624b4f19fee38044d15ceb34b83c0eed5f2","target":"graph","created_at":"2026-05-18T02:31:35Z","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":"Elliptic M\\\"obius transformations of the unit disk are those for which there is a fixed point in $\\mathbb{D}$. It is not hard to classify which M\\\"obius transformations are elliptic in terms of the parameters. The set of parameters can be identified with the solid torus $S^1 \\times \\mathbb{D}$, and the set of elliptic parameters is called the domain of ellipticity. In this paper, we study the domain of ellipticity for non-trivial unicritical Blaschke products. We will also study the set corresponding to the Mandelbrot set for this family, and show how it can be obtained from the domain of elli","authors_text":"Alastair Fletcher","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-11T14:27:35Z","title":"Unicritical Blaschke products and domains of ellipticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2418","kind":"arxiv","version":3},"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:fecc15759d685df88d4da4625bd36d0e21e8cba3a4564214516c24d6f985b959","target":"record","created_at":"2026-05-18T02:31:35Z","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":"61a7cde9bb5a5f033d4bd8aec902975e0c558af6522606f41804187e7dcd81f8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-11T14:27:35Z","title_canon_sha256":"131f7fa82540af1f1a51f193d9849b2db5ef517a6ccf3a856763e8df991630ad"},"schema_version":"1.0","source":{"id":"1408.2418","kind":"arxiv","version":3}},"canonical_sha256":"878cdec50b7b6e140a07909bf1e14b87e757a7d8db7de8ad725eebaa0c5999a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"878cdec50b7b6e140a07909bf1e14b87e757a7d8db7de8ad725eebaa0c5999a8","first_computed_at":"2026-05-18T02:31:35.760275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:35.760275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2CPbK09CX389q7r2TGq5zUi9AvnXvhpbghtjR/WCmsl55pn8Gd4mW0ZGg/HfEET29OZeHmLbl45mIi0SUsYcCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:35.760673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2418","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fecc15759d685df88d4da4625bd36d0e21e8cba3a4564214516c24d6f985b959","sha256:f5ed0567c10dc718e604c6bd38fc0624b4f19fee38044d15ceb34b83c0eed5f2"],"state_sha256":"27f9b5643c5d190915eaa9c0deec0cfc6694f3e5374ef7a4e933f136cbddba45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LylvtGrp/oweuUSNuBWq6YnU77v1jjFUjdpJsD90xXnbhe6PeqBPCB6zGu0UwP1q7L+yIJrS+xOIRv7n5XqZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:55:48.442788Z","bundle_sha256":"defc63a17d92ffcd35a3c9982b6fc00c1e030f8e2530eaa373a62ca36f395260"}}