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In this paper we consider the requirements and constraints to be met in order to implement a sufficient framework for the efficient discretization and fast analysis/synthesis of functions defined on the sphere, and summarise how they are satisfied by HEALPix.","external_url":"https://doi.org/10.1086/427976","cited_by_count":5046,"metadata_source":"doi_reference","metadata_fetched_at":"2026-07-10T23:47:43.083554+00:00","pith_arxiv_id":"astro-ph/0409513","created_at":"2026-05-09T02:59:47.242778+00:00","updated_at":"2026-07-11T11:50:26.030339+00:00","title_quality_ok":false,"display_title":"HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere","render_title":"HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere"},"hub":{"state":{"work_id":"89bae6a5-d2f5-45b2-9199-2b56c1053527","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":96,"external_cited_by_count":5046,"distinct_field_count":12,"first_pith_cited_at":"2019-02-14T19:00:00+00:00","last_pith_cited_at":"2026-07-08T14:21:18+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-08-21T18:49:23.285953+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":8},{"context_role":"method","n":5},{"context_role":"other","n":1}],"polarity_counts":[{"context_polarity":"background","n":8},{"context_polarity":"use_method","n":5},{"context_polarity":"unclear","n":1}],"runs":{"context_extract":{"job_type":"context_extract","status":"succeeded","result":{"enqueued_papers":25},"error":null,"updated_at":"2026-06-26T10:35:01.048287+00:00"},"graph_features":{"job_type":"graph_features","status":"succeeded","result":{"co_cited":[{"title":"Singer, Daniel Lenz, Martin Rei- necke, Cyrille Rosset, Eric Hivon, and Krzysztof M","work_id":"10e93236-8b90-4558-a802-7b9cf894a857","shared_citers":22},{"title":"Planck 2018 results. 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