{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:O7K3C2HQ7E77ASO3X2AYVR3AAU","short_pith_number":"pith:O7K3C2HQ","schema_version":"1.0","canonical_sha256":"77d5b168f0f93ff049dbbe818ac76005240157fcb462f9b51c6fb2ae9209bbc6","source":{"kind":"arxiv","id":"1703.08872","version":3},"attestation_state":"computed","paper":{"title":"Smolyak's algorithm: A powerful black box for the acceleration of scientific computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Raul Tempone, Soeren Wolfers","submitted_at":"2017-03-26T21:04:24Z","abstract_excerpt":"We provide a general discussion of Smolyak's algorithm for the acceleration of scientific computations. The algorithm first appeared in Smolyak's work on multidimensional integration and interpolation. Since then, it has been generalized in multiple directions and has been associated with the keywords: sparse grids, hyperbolic cross approximation, combination technique, and multilevel methods. Variants of Smolyak's algorithm have been employed in the computation of high-dimensional integrals in finance, chemistry, and physics, in the numerical solution of partial and stochastic differential eq"},"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":"1703.08872","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-26T21:04:24Z","cross_cats_sorted":[],"title_canon_sha256":"325bf855bb2ad78f74449f4569349dfaadf4044d435ded9ed2d993d37648b2aa","abstract_canon_sha256":"ef9883d16103c4ff6beb1aa6f7ce1f6db40c6a82582ee2a3067e1f170290027e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:47.838629Z","signature_b64":"uKBajs14IAY6iwtc+D0EvgkyzhmTPlW0wIuGMTCTCBEJagrcB1jY8g+2I4z9S/HWOVmVWlhmvpqlw0HCSDqiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77d5b168f0f93ff049dbbe818ac76005240157fcb462f9b51c6fb2ae9209bbc6","last_reissued_at":"2026-05-18T00:10:47.838046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:47.838046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Smolyak's algorithm: A powerful black box for the acceleration of scientific computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Raul Tempone, Soeren Wolfers","submitted_at":"2017-03-26T21:04:24Z","abstract_excerpt":"We provide a general discussion of Smolyak's algorithm for the acceleration of scientific computations. The algorithm first appeared in Smolyak's work on multidimensional integration and interpolation. Since then, it has been generalized in multiple directions and has been associated with the keywords: sparse grids, hyperbolic cross approximation, combination technique, and multilevel methods. Variants of Smolyak's algorithm have been employed in the computation of high-dimensional integrals in finance, chemistry, and physics, in the numerical solution of partial and stochastic differential eq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08872","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.08872","created_at":"2026-05-18T00:10:47.838146+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08872v3","created_at":"2026-05-18T00:10:47.838146+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08872","created_at":"2026-05-18T00:10:47.838146+00:00"},{"alias_kind":"pith_short_12","alias_value":"O7K3C2HQ7E77","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"O7K3C2HQ7E77ASO3","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"O7K3C2HQ","created_at":"2026-05-18T12:31:34.259226+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/O7K3C2HQ7E77ASO3X2AYVR3AAU","json":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU.json","graph_json":"https://pith.science/api/pith-number/O7K3C2HQ7E77ASO3X2AYVR3AAU/graph.json","events_json":"https://pith.science/api/pith-number/O7K3C2HQ7E77ASO3X2AYVR3AAU/events.json","paper":"https://pith.science/paper/O7K3C2HQ"},"agent_actions":{"view_html":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU","download_json":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU.json","view_paper":"https://pith.science/paper/O7K3C2HQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08872&json=true","fetch_graph":"https://pith.science/api/pith-number/O7K3C2HQ7E77ASO3X2AYVR3AAU/graph.json","fetch_events":"https://pith.science/api/pith-number/O7K3C2HQ7E77ASO3X2AYVR3AAU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU/action/storage_attestation","attest_author":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU/action/author_attestation","sign_citation":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU/action/citation_signature","submit_replication":"https://pith.science/pith/O7K3C2HQ7E77ASO3X2AYVR3AAU/action/replication_record"}},"created_at":"2026-05-18T00:10:47.838146+00:00","updated_at":"2026-05-18T00:10:47.838146+00:00"}