{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LAMYWG6VZJSQ53HH53LF5USV2W","short_pith_number":"pith:LAMYWG6V","schema_version":"1.0","canonical_sha256":"58198b1bd5ca650eece7eed65ed255d59741f58c9d07379d1e8d4320bcb5d280","source":{"kind":"arxiv","id":"1311.0828","version":1},"attestation_state":"computed","paper":{"title":"Estimating Uncertainties in Statistics Computed from DNS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Nicholas Malaya, Rhys Ulerich, Robert D. Moser, Todd A. Oliver","submitted_at":"2013-11-04T19:59:20Z","abstract_excerpt":"Rigorous assessment of uncertainty is crucial to the utility of DNS results. Uncertainties in the computed statistics arise from two sources: finite statistical sampling and the discretization of the Navier-Stokes equations. Due to the presence of non-trivial sampling error, standard techniques for estimating discretization error (such as Richardson extrapolation) fail or are unreliable. This work provides a systematic and unified approach for estimating these errors. First, a sampling error estimator that accounts for correlation in the input data is developed. Then, this sampling error estim"},"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":"1311.0828","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-04T19:59:20Z","cross_cats_sorted":["nlin.CD","physics.comp-ph"],"title_canon_sha256":"352c86665e5b88ab0eb0b01bae77e8c97071a79ed43e6fd8d766b60ebf8b9ec9","abstract_canon_sha256":"e0fe95ecf1c17865d23c8915b665490bd815f8e2ef3798881700805c5b1256be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:39.252378Z","signature_b64":"p7VFlfrnpJtf08DRtuvAk6nDFja6l03k7tH4dV24pji6WOsj+MjwK6j7h6CIsfYAhd21qsDvG5Bfu3W3URXCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58198b1bd5ca650eece7eed65ed255d59741f58c9d07379d1e8d4320bcb5d280","last_reissued_at":"2026-05-18T01:46:39.251779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:39.251779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimating Uncertainties in Statistics Computed from DNS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Nicholas Malaya, Rhys Ulerich, Robert D. Moser, Todd A. Oliver","submitted_at":"2013-11-04T19:59:20Z","abstract_excerpt":"Rigorous assessment of uncertainty is crucial to the utility of DNS results. Uncertainties in the computed statistics arise from two sources: finite statistical sampling and the discretization of the Navier-Stokes equations. Due to the presence of non-trivial sampling error, standard techniques for estimating discretization error (such as Richardson extrapolation) fail or are unreliable. This work provides a systematic and unified approach for estimating these errors. First, a sampling error estimator that accounts for correlation in the input data is developed. Then, this sampling error estim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0828","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1311.0828","created_at":"2026-05-18T01:46:39.251865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.0828v1","created_at":"2026-05-18T01:46:39.251865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0828","created_at":"2026-05-18T01:46:39.251865+00:00"},{"alias_kind":"pith_short_12","alias_value":"LAMYWG6VZJSQ","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LAMYWG6VZJSQ53HH","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LAMYWG6V","created_at":"2026-05-18T12:27:51.066281+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/LAMYWG6VZJSQ53HH53LF5USV2W","json":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W.json","graph_json":"https://pith.science/api/pith-number/LAMYWG6VZJSQ53HH53LF5USV2W/graph.json","events_json":"https://pith.science/api/pith-number/LAMYWG6VZJSQ53HH53LF5USV2W/events.json","paper":"https://pith.science/paper/LAMYWG6V"},"agent_actions":{"view_html":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W","download_json":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W.json","view_paper":"https://pith.science/paper/LAMYWG6V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.0828&json=true","fetch_graph":"https://pith.science/api/pith-number/LAMYWG6VZJSQ53HH53LF5USV2W/graph.json","fetch_events":"https://pith.science/api/pith-number/LAMYWG6VZJSQ53HH53LF5USV2W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W/action/storage_attestation","attest_author":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W/action/author_attestation","sign_citation":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W/action/citation_signature","submit_replication":"https://pith.science/pith/LAMYWG6VZJSQ53HH53LF5USV2W/action/replication_record"}},"created_at":"2026-05-18T01:46:39.251865+00:00","updated_at":"2026-05-18T01:46:39.251865+00:00"}