{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:WGFDFR6TIZLZVKCV67DKBSFIQV","short_pith_number":"pith:WGFDFR6T","canonical_record":{"source":{"id":"1910.00131","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-30T22:11:54Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"c651b351fc7e0b731a6ec407250a8b23efca0c425a96e1f81ead91b5d6e66180","abstract_canon_sha256":"d1286602c8c6d4d34651494c7b8b1ea20e239b3af27235cb368348efd3b39d4d"},"schema_version":"1.0"},"canonical_sha256":"b18a32c7d346579aa855f7c6a0c8a8856fd4f58a1c04b194ae76047d72183b34","source":{"kind":"arxiv","id":"1910.00131","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.00131","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"1910.00131v6","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.00131","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"WGFDFR6TIZLZ","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"pith_short_16","alias_value":"WGFDFR6TIZLZVKCV","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"pith_short_8","alias_value":"WGFDFR6T","created_at":"2026-07-05T05:15:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:WGFDFR6TIZLZVKCV67DKBSFIQV","target":"record","payload":{"canonical_record":{"source":{"id":"1910.00131","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-30T22:11:54Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"c651b351fc7e0b731a6ec407250a8b23efca0c425a96e1f81ead91b5d6e66180","abstract_canon_sha256":"d1286602c8c6d4d34651494c7b8b1ea20e239b3af27235cb368348efd3b39d4d"},"schema_version":"1.0"},"canonical_sha256":"b18a32c7d346579aa855f7c6a0c8a8856fd4f58a1c04b194ae76047d72183b34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:15:07.902521Z","signature_b64":"0x59Wyk7thscSlcrxLK9DABZyHXPF1xtfRtdnEO/maOkEPFY7hkvFcd8j8PE1ZAG1NB8efhNNIK1O/fLf+hyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b18a32c7d346579aa855f7c6a0c8a8856fd4f58a1c04b194ae76047d72183b34","last_reissued_at":"2026-07-05T05:15:07.902053Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:15:07.902053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.00131","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SL9lV5GhfEWGegqnGZNMfh/zPWB5PQ8i5pUHkuKPQJVMVqYwiDoU1wu0VsI7d++/gO+XFBnr/dDlV1ybInzaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:06:54.394298Z"},"content_sha256":"b8e754f1629b2407dbb581187b36d2ff1821b5a4b771a0251ece9e4cc96d12d3","schema_version":"1.0","event_id":"sha256:b8e754f1629b2407dbb581187b36d2ff1821b5a4b771a0251ece9e4cc96d12d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:WGFDFR6TIZLZVKCV67DKBSFIQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast and Fair Simultaneous Confidence Bands for Functional Parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Dominik Liebl, Matthew Reimherr","submitted_at":"2019-09-30T22:11:54Z","abstract_excerpt":"Quantifying uncertainty using confidence regions is a central goal of statistical inference. Despite this, methodologies for confidence bands in Functional Data Analysis are still underdeveloped compared to estimation and hypothesis testing. In this work, we present a new methodology for constructing simultaneous confidence bands for functional parameter estimates. Our bands possess a number of positive qualities: (1) they are not based on resampling and thus are fast to compute, (2) they are constructed under the fairness constraint of balanced false positive rates across partitions of the ba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.00131","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.00131/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tbi6XvTsqzLcJwICNRANjkZwtDxXk5a94dYcvHCDfmCVZu5Q4rrAFo/s44ymWR/ZB50n7dyfeC7KERh6xN7uBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:06:54.395030Z"},"content_sha256":"a4a3e15e038663cde19a8a617baeebaee19dcd3d330de9eb1ea82d2b7992dea8","schema_version":"1.0","event_id":"sha256:a4a3e15e038663cde19a8a617baeebaee19dcd3d330de9eb1ea82d2b7992dea8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGFDFR6TIZLZVKCV67DKBSFIQV/bundle.json","state_url":"https://pith.science/pith/WGFDFR6TIZLZVKCV67DKBSFIQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGFDFR6TIZLZVKCV67DKBSFIQV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T22:06:54Z","links":{"resolver":"https://pith.science/pith/WGFDFR6TIZLZVKCV67DKBSFIQV","bundle":"https://pith.science/pith/WGFDFR6TIZLZVKCV67DKBSFIQV/bundle.json","state":"https://pith.science/pith/WGFDFR6TIZLZVKCV67DKBSFIQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGFDFR6TIZLZVKCV67DKBSFIQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WGFDFR6TIZLZVKCV67DKBSFIQV","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":"d1286602c8c6d4d34651494c7b8b1ea20e239b3af27235cb368348efd3b39d4d","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-30T22:11:54Z","title_canon_sha256":"c651b351fc7e0b731a6ec407250a8b23efca0c425a96e1f81ead91b5d6e66180"},"schema_version":"1.0","source":{"id":"1910.00131","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.00131","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"1910.00131v6","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.00131","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"WGFDFR6TIZLZ","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"pith_short_16","alias_value":"WGFDFR6TIZLZVKCV","created_at":"2026-07-05T05:15:07Z"},{"alias_kind":"pith_short_8","alias_value":"WGFDFR6T","created_at":"2026-07-05T05:15:07Z"}],"graph_snapshots":[{"event_id":"sha256:a4a3e15e038663cde19a8a617baeebaee19dcd3d330de9eb1ea82d2b7992dea8","target":"graph","created_at":"2026-07-05T05:15:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1910.00131/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantifying uncertainty using confidence regions is a central goal of statistical inference. Despite this, methodologies for confidence bands in Functional Data Analysis are still underdeveloped compared to estimation and hypothesis testing. In this work, we present a new methodology for constructing simultaneous confidence bands for functional parameter estimates. Our bands possess a number of positive qualities: (1) they are not based on resampling and thus are fast to compute, (2) they are constructed under the fairness constraint of balanced false positive rates across partitions of the ba","authors_text":"Dominik Liebl, Matthew Reimherr","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-30T22:11:54Z","title":"Fast and Fair Simultaneous Confidence Bands for Functional Parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.00131","kind":"arxiv","version":6},"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:b8e754f1629b2407dbb581187b36d2ff1821b5a4b771a0251ece9e4cc96d12d3","target":"record","created_at":"2026-07-05T05:15:07Z","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":"d1286602c8c6d4d34651494c7b8b1ea20e239b3af27235cb368348efd3b39d4d","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-30T22:11:54Z","title_canon_sha256":"c651b351fc7e0b731a6ec407250a8b23efca0c425a96e1f81ead91b5d6e66180"},"schema_version":"1.0","source":{"id":"1910.00131","kind":"arxiv","version":6}},"canonical_sha256":"b18a32c7d346579aa855f7c6a0c8a8856fd4f58a1c04b194ae76047d72183b34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b18a32c7d346579aa855f7c6a0c8a8856fd4f58a1c04b194ae76047d72183b34","first_computed_at":"2026-07-05T05:15:07.902053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:15:07.902053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0x59Wyk7thscSlcrxLK9DABZyHXPF1xtfRtdnEO/maOkEPFY7hkvFcd8j8PE1ZAG1NB8efhNNIK1O/fLf+hyAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:15:07.902521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.00131","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8e754f1629b2407dbb581187b36d2ff1821b5a4b771a0251ece9e4cc96d12d3","sha256:a4a3e15e038663cde19a8a617baeebaee19dcd3d330de9eb1ea82d2b7992dea8"],"state_sha256":"7881104199ab685a79863aadb52e9158dbd034415286f372c9fabdab8bf2cd76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7kBsmgB9mDEqbTjK6gnQfGIphtJiimT2+eXE211icM5JjKL9csXrndbGT6KbHaOm/icCumwjjIk8zhsUDA2DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T22:06:54.401187Z","bundle_sha256":"2433d463f77b08adf1925e486765525f4436a0991d4ced22b6bba63af942b1d6"}}