{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EFZTC7B75YXAXQZSQ4XINU4AHC","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":"8778b32750b960890a7af3421e0a03794f345dfb8a0fff7487cf25cf44cd822a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-25T22:48:40Z","title_canon_sha256":"5762a1ede7bd8e6413e3b0365f1b6648066aed80e178529197a2c0a6c86fca27"},"schema_version":"1.0","source":{"id":"1611.08628","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08628","created_at":"2026-05-18T00:56:37Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08628v1","created_at":"2026-05-18T00:56:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08628","created_at":"2026-05-18T00:56:37Z"},{"alias_kind":"pith_short_12","alias_value":"EFZTC7B75YXA","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EFZTC7B75YXAXQZS","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EFZTC7B7","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:a0cce5d38482f3a6b6b8f83e5006b1a4feea94882fa01519e9fe437b60b5e50b","target":"graph","created_at":"2026-05-18T00:56:37Z","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":"The error scaling for Markov-Chain Monte Carlo techniques (MCMC) with $N$ samples behaves like $1/\\sqrt{N}$. This scaling makes it often very time intensive to reduce the error of computed observables, in particular for applications in lattice QCD. It is therefore highly desirable to have alternative methods at hand which show an improved error scaling. One candidate for such an alternative integration technique is the method of recursive numerical integration (RNI). The basic idea of this method is to use an efficient low-dimensional quadrature rule (usually of Gaussian type) and apply it ite","authors_text":"Alan Genz, Andreas Ammon, Hernan Le\\\"ovey, Julia Volmer, Karl Jansen, Tobias Hartung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-25T22:48:40Z","title":"Applying recursive numerical integration techniques for solving high dimensional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08628","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":"sha256:245c3cbe529c33c5de761e54cfd4f8a82bb5d50ab4b9ba4e0ff2ad2f4f4b1fac","target":"record","created_at":"2026-05-18T00:56:37Z","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":"8778b32750b960890a7af3421e0a03794f345dfb8a0fff7487cf25cf44cd822a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-25T22:48:40Z","title_canon_sha256":"5762a1ede7bd8e6413e3b0365f1b6648066aed80e178529197a2c0a6c86fca27"},"schema_version":"1.0","source":{"id":"1611.08628","kind":"arxiv","version":1}},"canonical_sha256":"2173317c3fee2e0bc332872e86d380388138503ccfa65fcd71caf12447056ce8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2173317c3fee2e0bc332872e86d380388138503ccfa65fcd71caf12447056ce8","first_computed_at":"2026-05-18T00:56:37.357769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:37.357769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7JUh9OPK4q8eKAU1IN+PJl3tmMyB8kcIfRBFI/W/lOal3gDiLvxPbdVhkSWjMnopp5T4mJHTk15dIj5yhBbaAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:37.358587Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08628","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:245c3cbe529c33c5de761e54cfd4f8a82bb5d50ab4b9ba4e0ff2ad2f4f4b1fac","sha256:a0cce5d38482f3a6b6b8f83e5006b1a4feea94882fa01519e9fe437b60b5e50b"],"state_sha256":"2cbeea8c5cf6eb50a34bb6b31b84150384fd5e50f57b6527739cb407cee0acbd"}