{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SNKPBV4DP45EUUFPYAGZYPPB67","short_pith_number":"pith:SNKPBV4D","canonical_record":{"source":{"id":"1505.02350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-05-10T07:16:41Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"a252df6d8008c8ddb21c1d271b42c11648c1dc5c7519df0682cff886859add4e","abstract_canon_sha256":"2e767faa5096005a3073839a7292fd0d92695d40232b041c4aa1ff0ab3a0e977"},"schema_version":"1.0"},"canonical_sha256":"9354f0d7837f3a4a50afc00d9c3de1f7c3671133152c961240647590ecdbc256","source":{"kind":"arxiv","id":"1505.02350","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02350","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02350v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02350","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"SNKPBV4DP45E","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SNKPBV4DP45EUUFP","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SNKPBV4D","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SNKPBV4DP45EUUFPYAGZYPPB67","target":"record","payload":{"canonical_record":{"source":{"id":"1505.02350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-05-10T07:16:41Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"a252df6d8008c8ddb21c1d271b42c11648c1dc5c7519df0682cff886859add4e","abstract_canon_sha256":"2e767faa5096005a3073839a7292fd0d92695d40232b041c4aa1ff0ab3a0e977"},"schema_version":"1.0"},"canonical_sha256":"9354f0d7837f3a4a50afc00d9c3de1f7c3671133152c961240647590ecdbc256","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:19.047670Z","signature_b64":"YvxfxUy6j3kyzHVNS44OS2FVdC3SBZAkl77+hZm71Q5hTNUiqjkCFCgbqVAKauhYO8K26cGRFAf/+phNdBmqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9354f0d7837f3a4a50afc00d9c3de1f7c3671133152c961240647590ecdbc256","last_reissued_at":"2026-05-18T02:16:19.047127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:19.047127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.02350","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6phZC1dg6+SRva0mXcenL7p9J85VINePadX2e+Mvo11NprbWfc18IZV1oPk1C9dXNx7wWuWd55ICMH02myp+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:40:02.649393Z"},"content_sha256":"5b2dcdf4938e63aa59ef4adb02fbd0b21c883e5cfa252c5c26128fa5e4fc42b9","schema_version":"1.0","event_id":"sha256:5b2dcdf4938e63aa59ef4adb02fbd0b21c883e5cfa252c5c26128fa5e4fc42b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SNKPBV4DP45EUUFPYAGZYPPB67","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring multi-dimensional spaces: a Comparison of Latin Hypercube and Quasi Monte Carlo Sampling Techniques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.AP","authors_text":"Andrea Saltelli, Daniel Albrecht, Sergei Kucherenko","submitted_at":"2015-05-10T07:16:41Z","abstract_excerpt":"Three sampling methods are compared for efficiency on a number of test problems of various complexity for which analytic quadratures are available. The methods compared are Monte Carlo with pseudo-random numbers, Latin Hypercube Sampling, and Quasi Monte Carlo with sampling based on Sobol sequences. Generally results show superior performance of the Quasi Monte Carlo approach based on Sobol sequences in line with theoretical predictions. Latin Hypercube Sampling can be more efficient than both Monte Carlo method and Quasi Monte Carlo method but the latter inequality holds for a reduced set of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02350","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ByWLdrcop31Q9UhMriTlY5qAQh+xJ1301oULjJ9GJJBih3jS9s/qVwuf1ZT5mop22AOhmhZjhctNyWo2yoFVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:40:02.649869Z"},"content_sha256":"ed2a8ca879a90ec3222de83cb5597b707a93785f41641a8545d348263c3ac6dd","schema_version":"1.0","event_id":"sha256:ed2a8ca879a90ec3222de83cb5597b707a93785f41641a8545d348263c3ac6dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SNKPBV4DP45EUUFPYAGZYPPB67/bundle.json","state_url":"https://pith.science/pith/SNKPBV4DP45EUUFPYAGZYPPB67/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SNKPBV4DP45EUUFPYAGZYPPB67/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T14:40:02Z","links":{"resolver":"https://pith.science/pith/SNKPBV4DP45EUUFPYAGZYPPB67","bundle":"https://pith.science/pith/SNKPBV4DP45EUUFPYAGZYPPB67/bundle.json","state":"https://pith.science/pith/SNKPBV4DP45EUUFPYAGZYPPB67/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SNKPBV4DP45EUUFPYAGZYPPB67/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SNKPBV4DP45EUUFPYAGZYPPB67","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":"2e767faa5096005a3073839a7292fd0d92695d40232b041c4aa1ff0ab3a0e977","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-05-10T07:16:41Z","title_canon_sha256":"a252df6d8008c8ddb21c1d271b42c11648c1dc5c7519df0682cff886859add4e"},"schema_version":"1.0","source":{"id":"1505.02350","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02350","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02350v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02350","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"SNKPBV4DP45E","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SNKPBV4DP45EUUFP","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SNKPBV4D","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:ed2a8ca879a90ec3222de83cb5597b707a93785f41641a8545d348263c3ac6dd","target":"graph","created_at":"2026-05-18T02:16:19Z","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":"Three sampling methods are compared for efficiency on a number of test problems of various complexity for which analytic quadratures are available. The methods compared are Monte Carlo with pseudo-random numbers, Latin Hypercube Sampling, and Quasi Monte Carlo with sampling based on Sobol sequences. Generally results show superior performance of the Quasi Monte Carlo approach based on Sobol sequences in line with theoretical predictions. Latin Hypercube Sampling can be more efficient than both Monte Carlo method and Quasi Monte Carlo method but the latter inequality holds for a reduced set of ","authors_text":"Andrea Saltelli, Daniel Albrecht, Sergei Kucherenko","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-05-10T07:16:41Z","title":"Exploring multi-dimensional spaces: a Comparison of Latin Hypercube and Quasi Monte Carlo Sampling Techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02350","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":"sha256:5b2dcdf4938e63aa59ef4adb02fbd0b21c883e5cfa252c5c26128fa5e4fc42b9","target":"record","created_at":"2026-05-18T02:16:19Z","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":"2e767faa5096005a3073839a7292fd0d92695d40232b041c4aa1ff0ab3a0e977","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-05-10T07:16:41Z","title_canon_sha256":"a252df6d8008c8ddb21c1d271b42c11648c1dc5c7519df0682cff886859add4e"},"schema_version":"1.0","source":{"id":"1505.02350","kind":"arxiv","version":1}},"canonical_sha256":"9354f0d7837f3a4a50afc00d9c3de1f7c3671133152c961240647590ecdbc256","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9354f0d7837f3a4a50afc00d9c3de1f7c3671133152c961240647590ecdbc256","first_computed_at":"2026-05-18T02:16:19.047127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:19.047127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YvxfxUy6j3kyzHVNS44OS2FVdC3SBZAkl77+hZm71Q5hTNUiqjkCFCgbqVAKauhYO8K26cGRFAf/+phNdBmqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:19.047670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02350","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b2dcdf4938e63aa59ef4adb02fbd0b21c883e5cfa252c5c26128fa5e4fc42b9","sha256:ed2a8ca879a90ec3222de83cb5597b707a93785f41641a8545d348263c3ac6dd"],"state_sha256":"c5e8d52e1a77d80bd3b875fb25d8b82fcbc7930a671bb4d952ef61495a13d401"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZskVwbj2WiSxJ/jQFsQ46Wivl2qBjhRQUPyvwTPfMAhZGEHEDa5GBwoKEbSJje7vqYz0MjXm+t3grlO8m5+9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T14:40:02.654347Z","bundle_sha256":"0a331b6ad51e171925b110ca4f3f2cdf41541a0d986d2d15a106bc5e0be00da9"}}