{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2K2ZWPPT3FPICFEY6AFD3ZFEO4","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":"ac2437b01943e1f92c38d7ed3b514da2b943f17892cade88962aaaca10e5abd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-21T12:30:02Z","title_canon_sha256":"979a3a94d2f6322d6cf72b82f79367861606bf45283e14f66c98cc6916018926"},"schema_version":"1.0","source":{"id":"1603.06408","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06408","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06408v1","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06408","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"pith_short_12","alias_value":"2K2ZWPPT3FPI","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2K2ZWPPT3FPICFEY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2K2ZWPPT","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:eb7bd714626f20cd62acfae7b948f6b891b6b9141bcbac9c8cae50576d5fdf68","target":"graph","created_at":"2026-05-18T01:18:48Z","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":"Sup-norm curve estimation is a fundamental statistical problem and, in principle, a premise for the construction of confidence bands for infinite-dimensional parameters. In a Bayesian framework, the issue of whether the sup-norm-concentration- of-posterior-measure approach proposed by Gin\\'e and Nickl (2011), which involves solving a testing problem exploiting concentration properties of kernel and projection-type density estimators around their expectations, can yield minimax-optimal rates is herein settled in the affirmative beyond conjugate-prior settings obtaining sharp rates for common pr","authors_text":"Catia Scricciolo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-21T12:30:02Z","title":"Sharp sup-norm Bayesian curve estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06408","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:d6c1543f59078865b9e69ec2961f595947eea5834f35d17e586ac9e22ecb2822","target":"record","created_at":"2026-05-18T01:18:48Z","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":"ac2437b01943e1f92c38d7ed3b514da2b943f17892cade88962aaaca10e5abd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-21T12:30:02Z","title_canon_sha256":"979a3a94d2f6322d6cf72b82f79367861606bf45283e14f66c98cc6916018926"},"schema_version":"1.0","source":{"id":"1603.06408","kind":"arxiv","version":1}},"canonical_sha256":"d2b59b3df3d95e811498f00a3de4a47725bed7fc01403034c7b6204dc88cfb2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2b59b3df3d95e811498f00a3de4a47725bed7fc01403034c7b6204dc88cfb2f","first_computed_at":"2026-05-18T01:18:48.565064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:48.565064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/aOY6XFw1AP9Z3A02azMkuXaoqFWXjKW+jfSHPL+eqFjy6X002eb9XVYoGCEc5+feAuY9UxDo83EkPAnrZKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:48.565674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06408","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6c1543f59078865b9e69ec2961f595947eea5834f35d17e586ac9e22ecb2822","sha256:eb7bd714626f20cd62acfae7b948f6b891b6b9141bcbac9c8cae50576d5fdf68"],"state_sha256":"876d024bed3f9c52117a1f54fc613b386888394833faa7c4fdce6c7a443f3314"}