{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:Q5WL2ODY4AMCTW6RI6ZC7UNZST","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":"9bdeee81be62e1619c726a5de523f3db100f923d6553666d0959b0b0df00f8e3","cross_cats_sorted":["cs.CC","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-28T14:06:42Z","title_canon_sha256":"b32ecc891b5547a67a38d4d0f5632cf617b9e5731343fdddf18081554d7b0ef7"},"schema_version":"1.0","source":{"id":"2411.19164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19164","created_at":"2026-07-05T09:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19164v1","created_at":"2026-07-05T09:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19164","created_at":"2026-07-05T09:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q5WL2ODY4AMC","created_at":"2026-07-05T09:41:58Z"},{"alias_kind":"pith_short_16","alias_value":"Q5WL2ODY4AMCTW6R","created_at":"2026-07-05T09:41:58Z"},{"alias_kind":"pith_short_8","alias_value":"Q5WL2ODY","created_at":"2026-07-05T09:41:58Z"}],"graph_snapshots":[{"event_id":"sha256:44e1d970c410e539576b27ec20d3d39e151dded73b43ef2377fc3bf22db846fd","target":"graph","created_at":"2026-07-05T09:41:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.19164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a simple universal algorithm for high-dimensional integration which has the optimal error rate (independent of the dimension) in all weighted Korobov classes both in the randomized and the deterministic setting. Our theoretical findings are complemented by numerical tests.","authors_text":"David Krieg, Takashi Goda","cross_cats":["cs.CC","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-28T14:06:42Z","title":"A simple universal algorithm for high-dimensional integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19164","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":"sha256:085949e15a771c26bd47a1c1089179682a39233882f94c4976c7869fcfe3975e","target":"record","created_at":"2026-07-05T09:41:58Z","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":"9bdeee81be62e1619c726a5de523f3db100f923d6553666d0959b0b0df00f8e3","cross_cats_sorted":["cs.CC","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-28T14:06:42Z","title_canon_sha256":"b32ecc891b5547a67a38d4d0f5632cf617b9e5731343fdddf18081554d7b0ef7"},"schema_version":"1.0","source":{"id":"2411.19164","kind":"arxiv","version":1}},"canonical_sha256":"876cbd3878e01829dbd147b22fd1b994f7d749e809417a44d98314d05875ee4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"876cbd3878e01829dbd147b22fd1b994f7d749e809417a44d98314d05875ee4e","first_computed_at":"2026-07-05T09:41:58.185695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:58.185695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uXHJooyvgRPiwBtu1hAwF84td4XYdcwOpq4eIRfmN8d8qRx1f699VbEdzrl1OLriQ6ii78gY1zxtaFqbx2lsBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:58.186221Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.19164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:085949e15a771c26bd47a1c1089179682a39233882f94c4976c7869fcfe3975e","sha256:44e1d970c410e539576b27ec20d3d39e151dded73b43ef2377fc3bf22db846fd"],"state_sha256":"73d8de678e254e99a3e0201520d5d4cc4e72658204a40e9f487d30d73baeedb5"}