{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:26GF2CMF2E4UIMNMBHZDL6FWW4","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":"49dfb201d2980c5ec88dd4cffffc423bc5c48f79a15a8cf5f484393e3b96cb2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-08-02T08:31:06Z","title_canon_sha256":"e78044bcd8a52f2a0165a2206258f8e2aed7baf3603ffc557b6b37bd4745a243"},"schema_version":"1.0","source":{"id":"1608.00728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00728","created_at":"2026-05-18T01:10:01Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00728v1","created_at":"2026-05-18T01:10:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00728","created_at":"2026-05-18T01:10:01Z"},{"alias_kind":"pith_short_12","alias_value":"26GF2CMF2E4U","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"26GF2CMF2E4UIMNM","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"26GF2CMF","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:659fd13e1a68a28ddcb814ff4a63cd9da8c9e96e628544039d40fea44b0f83de","target":"graph","created_at":"2026-05-18T01:10:01Z","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":"Motivated by the recent multilevel sparse kernel-based interpolation (MuSIK) algorithm proposed in [Georgoulis, Levesley and Subhan, SIAM J. Sci. Comput., 35(2), pp. A815-A831, 2013], we introduce the new quasi-multilevel sparse interpolation with kernels (Q-MuSIK) via the combination technique. The Q-MuSIK scheme achieves better convergence and run time in comparison with classical quasi-interpolation; namely, the Q-MuSIK algorithm is generally superior to the MuSIK methods in terms of run time in particular in high-dimensional interpolation problems, since there is no need to solve large alg","authors_text":"Fuat Usta, Jeremy Levesley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-08-02T08:31:06Z","title":"Quasi-interpolation on a sparse grid with Gaussian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00728","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:d25ed1e8fe913ecd830417f5462014c9feae0c01af8bedeec51885079e67a511","target":"record","created_at":"2026-05-18T01:10:01Z","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":"49dfb201d2980c5ec88dd4cffffc423bc5c48f79a15a8cf5f484393e3b96cb2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-08-02T08:31:06Z","title_canon_sha256":"e78044bcd8a52f2a0165a2206258f8e2aed7baf3603ffc557b6b37bd4745a243"},"schema_version":"1.0","source":{"id":"1608.00728","kind":"arxiv","version":1}},"canonical_sha256":"d78c5d0985d1394431ac09f235f8b6b71ece8878a02a4af7c908823cc44258c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d78c5d0985d1394431ac09f235f8b6b71ece8878a02a4af7c908823cc44258c9","first_computed_at":"2026-05-18T01:10:01.220662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:01.220662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H1TBOTgJDTN/AiIn7NuGwSUM+GT2irenMUdMywU0PRzfIWKDGpCRHhOAhUyXvbwdMwiwDT10d8dX57ZRgwI+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:01.221326Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d25ed1e8fe913ecd830417f5462014c9feae0c01af8bedeec51885079e67a511","sha256:659fd13e1a68a28ddcb814ff4a63cd9da8c9e96e628544039d40fea44b0f83de"],"state_sha256":"2d0997f1bb78d9b5837f51ed14f5c6e9795117ed0df8f96f012dbf54db7280d4"}