{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CG3VYX5WYJD57QYKUF2R3DTHG5","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":"cf078356d71cd836de80f69052e3122cb6a6ce435f55697a0ee530a09fd79369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-07T07:20:34Z","title_canon_sha256":"af351138fb426a43d2944202b1aa1f0f13f03142891bf381e3e8903d6a5ca6cd"},"schema_version":"1.0","source":{"id":"1308.1491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1491","created_at":"2026-05-18T03:16:37Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1491v1","created_at":"2026-05-18T03:16:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1491","created_at":"2026-05-18T03:16:37Z"},{"alias_kind":"pith_short_12","alias_value":"CG3VYX5WYJD5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CG3VYX5WYJD57QYK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CG3VYX5W","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:905d07dae81b68fe1a7e40744a934580a5f3971bfdb90eb93e2a920570f186a9","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":"The paper characterizes uniform convergence rate for general classes of wavelet expansions of stationary Gaussian random processes. The convergence in probability is considered.","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":"2013-08-07T07:20:34Z","title":"Convergence rate of wavelet expansions of Gaussian random processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1491","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":"sha256:36c119514263c111a81ef779c58107423b2eed9447a53e0bc86678b838607f5c","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":"cf078356d71cd836de80f69052e3122cb6a6ce435f55697a0ee530a09fd79369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-07T07:20:34Z","title_canon_sha256":"af351138fb426a43d2944202b1aa1f0f13f03142891bf381e3e8903d6a5ca6cd"},"schema_version":"1.0","source":{"id":"1308.1491","kind":"arxiv","version":1}},"canonical_sha256":"11b75c5fb6c247dfc30aa1751d8e673752d1fbfd0a87d8fcbbc3b85351904660","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11b75c5fb6c247dfc30aa1751d8e673752d1fbfd0a87d8fcbbc3b85351904660","first_computed_at":"2026-05-18T03:16:37.921551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:37.921551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mnQyjM8tB7NzBuJA5uXf7HIK/kvZglPmkAXjYdH0U3lfGgkjnqAKnxDKjjreT9BN0oKiWXyUJCpn17VQ1m0LAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:37.922169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36c119514263c111a81ef779c58107423b2eed9447a53e0bc86678b838607f5c","sha256:905d07dae81b68fe1a7e40744a934580a5f3971bfdb90eb93e2a920570f186a9"],"state_sha256":"77b7871ccac54f1ec5efdb4343bc13a62f5c47b7d9a282b5b697270727dcd0ec"}