{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:SOVW3BW22D5JBZVK3PLM4R553E","short_pith_number":"pith:SOVW3BW2","schema_version":"1.0","canonical_sha256":"93ab6d86dad0fa90e6aadbd6ce47bdd91ba63fbb903451a41202c1cacfa51f69","source":{"kind":"arxiv","id":"astro-ph/0508514","version":3},"attestation_state":"computed","paper":{"title":"Fast spin +-2 spherical harmonics transforms and application in cosmology","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"astro-ph","authors_text":"(2) Universite catholique de Louvain, Belgium), Lausanne, L. Jacques (2), Louvain-la-Neuve, P. Vandergheynst (1) ((1) Swiss Federal Institute of Technology, Switzerland, Y. Wiaux (1)","submitted_at":"2005-08-24T17:32:41Z","abstract_excerpt":"A fast and exact algorithm is developed for the spin +-2 spherical harmonics transforms on equi-angular pixelizations on the sphere. It is based on the Driscoll and Healy fast scalar spherical harmonics transform. The theoretical exactness of the transform relies on a sampling theorem. The associated asymptotic complexity is of order O(L^2 log^2_2(L)), where 2L stands for the square-root of the number of sampling points on the sphere, also setting a band limit L for the spin +-2 functions considered. The algorithm is presented as an alternative to existing fast algorithms with an asymptotic co"},"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":"astro-ph/0508514","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-08-24T17:32:41Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"c411ed2ad297092b21aadbc521d1a8aed103faabd65c3b0738c382602f9c2eef","abstract_canon_sha256":"f15a7f6ee3f293bc4dc8e0f521849c41fdc83afa208863ac698ce08af7d41b8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:19:36.003737Z","signature_b64":"hxu1P1TSqJsxuL87i5IeMnCzGZNGdQeyneXIfLu0Kwbcc2qDTGpsDPWSCpjIIADGbhqzDbso7rkIMiWqr1HrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93ab6d86dad0fa90e6aadbd6ce47bdd91ba63fbb903451a41202c1cacfa51f69","last_reissued_at":"2026-07-04T15:19:36.003301Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:19:36.003301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast spin +-2 spherical harmonics transforms and application in cosmology","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"astro-ph","authors_text":"(2) Universite catholique de Louvain, Belgium), Lausanne, L. Jacques (2), Louvain-la-Neuve, P. Vandergheynst (1) ((1) Swiss Federal Institute of Technology, Switzerland, Y. Wiaux (1)","submitted_at":"2005-08-24T17:32:41Z","abstract_excerpt":"A fast and exact algorithm is developed for the spin +-2 spherical harmonics transforms on equi-angular pixelizations on the sphere. It is based on the Driscoll and Healy fast scalar spherical harmonics transform. The theoretical exactness of the transform relies on a sampling theorem. The associated asymptotic complexity is of order O(L^2 log^2_2(L)), where 2L stands for the square-root of the number of sampling points on the sphere, also setting a band limit L for the spin +-2 functions considered. The algorithm is presented as an alternative to existing fast algorithms with an asymptotic co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0508514","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0508514/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0508514","created_at":"2026-07-04T15:19:36.003382+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0508514v3","created_at":"2026-07-04T15:19:36.003382+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0508514","created_at":"2026-07-04T15:19:36.003382+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOVW3BW22D5J","created_at":"2026-07-04T15:19:36.003382+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOVW3BW22D5JBZVK","created_at":"2026-07-04T15:19:36.003382+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOVW3BW2","created_at":"2026-07-04T15:19:36.003382+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2004.06503","citing_title":"Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes","ref_index":44,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E","json":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E.json","graph_json":"https://pith.science/api/pith-number/SOVW3BW22D5JBZVK3PLM4R553E/graph.json","events_json":"https://pith.science/api/pith-number/SOVW3BW22D5JBZVK3PLM4R553E/events.json","paper":"https://pith.science/paper/SOVW3BW2"},"agent_actions":{"view_html":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E","download_json":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E.json","view_paper":"https://pith.science/paper/SOVW3BW2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0508514&json=true","fetch_graph":"https://pith.science/api/pith-number/SOVW3BW22D5JBZVK3PLM4R553E/graph.json","fetch_events":"https://pith.science/api/pith-number/SOVW3BW22D5JBZVK3PLM4R553E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E/action/storage_attestation","attest_author":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E/action/author_attestation","sign_citation":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E/action/citation_signature","submit_replication":"https://pith.science/pith/SOVW3BW22D5JBZVK3PLM4R553E/action/replication_record"}},"created_at":"2026-07-04T15:19:36.003382+00:00","updated_at":"2026-07-04T15:19:36.003382+00:00"}