{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BERA5IF4ZFRHKKQPECSWLWSXSS","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":"0c54c29e3982b50378f1fc032caa622032397dc4aa01cf8499e54d9138dc6b18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-07T07:29:43Z","title_canon_sha256":"ef206549cd8b192b4dae6b0044bc7f9995730f81e17c9322bac418c66daf79a2"},"schema_version":"1.0","source":{"id":"1308.1493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1493","created_at":"2026-05-18T03:16:37Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1493v1","created_at":"2026-05-18T03:16:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1493","created_at":"2026-05-18T03:16:37Z"},{"alias_kind":"pith_short_12","alias_value":"BERA5IF4ZFRH","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BERA5IF4ZFRHKKQP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BERA5IF4","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:de043b06d2d904dc803c35c456c3882beab7b27e77725dbd3954f728e6f15faf","target":"graph","created_at":"2026-05-18T03:16:37Z","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":"New results on uniform convergence in probability for expansions of Gaussian random processes using compactly supported wavelets are given. The main result is valid for general classes of nonstationary processes. An application of the obtained results to stationary processes is also presented. It is shown that the convergence rate of the expansions is exponential.","authors_text":"Andriy Olenko, Olga Polosmak, Yuriy Kozachenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-07T07:29:43Z","title":"Uniform convergence of compactly supported wavelet expansions of Gaussian random processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1493","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:fa20fb457905ea95099bd9af67abe3ec0594968f40f8e41ca345d8634c9a6456","target":"record","created_at":"2026-05-18T03:16:37Z","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":"0c54c29e3982b50378f1fc032caa622032397dc4aa01cf8499e54d9138dc6b18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-07T07:29:43Z","title_canon_sha256":"ef206549cd8b192b4dae6b0044bc7f9995730f81e17c9322bac418c66daf79a2"},"schema_version":"1.0","source":{"id":"1308.1493","kind":"arxiv","version":1}},"canonical_sha256":"09220ea0bcc962752a0f20a565da579486393818ae7c3965a0ed89af190d355f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09220ea0bcc962752a0f20a565da579486393818ae7c3965a0ed89af190d355f","first_computed_at":"2026-05-18T03:16:37.912544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:37.912544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IT7e2iMQM4HFaomaJodaqQOTdwVJ4+7io659lCowsqsaiBgZs3eIk/c0hG7gJTdAjf1M3w60zmqSzeMlyONLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:37.913097Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa20fb457905ea95099bd9af67abe3ec0594968f40f8e41ca345d8634c9a6456","sha256:de043b06d2d904dc803c35c456c3882beab7b27e77725dbd3954f728e6f15faf"],"state_sha256":"31c250d541a07d096e2748ed8180906d818d056dd10060d4a7f074565b303df7"}