{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WU4G45HNQA7SGPCPOWPXXONJIA","short_pith_number":"pith:WU4G45HN","schema_version":"1.0","canonical_sha256":"b5386e74ed803f233c4f759f7bb9a9400b048290bc7e03f18afef370b92d9590","source":{"kind":"arxiv","id":"1407.3829","version":2},"attestation_state":"computed","paper":{"title":"Universality in Numerical Computations with Random Data. Case Studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.NA","authors_text":"Govind Menon, Percy Deift, Sheehan Olver, Thomas Trogdon","submitted_at":"2014-07-14T21:49:11Z","abstract_excerpt":"The authors present evidence for universality in numerical computations with random data. Given a (possibly stochastic) numerical algorithm with random input data, the time (or number of iterations) to convergence (within a given tolerance) is a random variable, called the halting time. Two-component universality is observed for the fluctuations of the halting time, i.e., the histogram for the halting times, centered by the sample average and scaled by the sample variance, collapses to a universal curve, independent of the input data distribution, as the dimension increases. Thus, up to two co"},"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":"1407.3829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-14T21:49:11Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"8441b9bd44cf3b31dd43c3685d4a0d4c93b5b2d3e3559b45d8fd9c8a2b76c681","abstract_canon_sha256":"dea0cc83a5ebca0f77d2e5afce5c280b6622fac558f6e3e4bdb2ad74a419c5cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:36.837440Z","signature_b64":"6GvwQCS7Tc2Zofb7bsB/eIlxpVw0NITuwL42K5Pa9s+tTptaK0RqoGnhP98V+BQrfwOyDMD9eg055U4AYIYYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5386e74ed803f233c4f759f7bb9a9400b048290bc7e03f18afef370b92d9590","last_reissued_at":"2026-05-18T01:42:36.836785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:36.836785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universality in Numerical Computations with Random Data. Case Studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.NA","authors_text":"Govind Menon, Percy Deift, Sheehan Olver, Thomas Trogdon","submitted_at":"2014-07-14T21:49:11Z","abstract_excerpt":"The authors present evidence for universality in numerical computations with random data. Given a (possibly stochastic) numerical algorithm with random input data, the time (or number of iterations) to convergence (within a given tolerance) is a random variable, called the halting time. Two-component universality is observed for the fluctuations of the halting time, i.e., the histogram for the halting times, centered by the sample average and scaled by the sample variance, collapses to a universal curve, independent of the input data distribution, as the dimension increases. Thus, up to two co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3829","kind":"arxiv","version":2},"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":"1407.3829","created_at":"2026-05-18T01:42:36.836881+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.3829v2","created_at":"2026-05-18T01:42:36.836881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3829","created_at":"2026-05-18T01:42:36.836881+00:00"},{"alias_kind":"pith_short_12","alias_value":"WU4G45HNQA7S","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WU4G45HNQA7SGPCP","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WU4G45HN","created_at":"2026-05-18T12:28:54.890064+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/WU4G45HNQA7SGPCPOWPXXONJIA","json":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA.json","graph_json":"https://pith.science/api/pith-number/WU4G45HNQA7SGPCPOWPXXONJIA/graph.json","events_json":"https://pith.science/api/pith-number/WU4G45HNQA7SGPCPOWPXXONJIA/events.json","paper":"https://pith.science/paper/WU4G45HN"},"agent_actions":{"view_html":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA","download_json":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA.json","view_paper":"https://pith.science/paper/WU4G45HN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.3829&json=true","fetch_graph":"https://pith.science/api/pith-number/WU4G45HNQA7SGPCPOWPXXONJIA/graph.json","fetch_events":"https://pith.science/api/pith-number/WU4G45HNQA7SGPCPOWPXXONJIA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA/action/storage_attestation","attest_author":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA/action/author_attestation","sign_citation":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA/action/citation_signature","submit_replication":"https://pith.science/pith/WU4G45HNQA7SGPCPOWPXXONJIA/action/replication_record"}},"created_at":"2026-05-18T01:42:36.836881+00:00","updated_at":"2026-05-18T01:42:36.836881+00:00"}