{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KRGVNSPLZEZJL5OZASDG2WUBYW","short_pith_number":"pith:KRGVNSPL","canonical_record":{"source":{"id":"1302.6102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-25T14:33:30Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"13bf7ceb3678751e465d0ffa56b952f6bce27ebb8f237c620a84691c890b7c0e","abstract_canon_sha256":"10d17b31258e24da64be9059c47b2dde751f80f882c98907b05ff654f97ffaed"},"schema_version":"1.0"},"canonical_sha256":"544d56c9ebc93295f5d904866d5a81c594966e70ff9f08fbb39a4ef1e6596136","source":{"kind":"arxiv","id":"1302.6102","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6102","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6102v1","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6102","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"KRGVNSPLZEZJ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KRGVNSPLZEZJL5OZ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KRGVNSPL","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KRGVNSPLZEZJL5OZASDG2WUBYW","target":"record","payload":{"canonical_record":{"source":{"id":"1302.6102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-25T14:33:30Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"13bf7ceb3678751e465d0ffa56b952f6bce27ebb8f237c620a84691c890b7c0e","abstract_canon_sha256":"10d17b31258e24da64be9059c47b2dde751f80f882c98907b05ff654f97ffaed"},"schema_version":"1.0"},"canonical_sha256":"544d56c9ebc93295f5d904866d5a81c594966e70ff9f08fbb39a4ef1e6596136","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:32.558811Z","signature_b64":"fQ0jXgVuPDF+MryRj7iBNi+XcIOdnYitugp+dpYETgQ2IMGnmI7zBzOJFywsoEs9EG/tiEIH5JI7rgAX5rGTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"544d56c9ebc93295f5d904866d5a81c594966e70ff9f08fbb39a4ef1e6596136","last_reissued_at":"2026-05-18T03:32:32.558083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:32.558083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.6102","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SD3vPOvxhloBEmkxDq1G3eGcBPP3A5DLElFb+ea0r4EWNr9YHncfgEnvIUYrumlV9KT6prRClK9oAyxpFyyyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:36:07.761263Z"},"content_sha256":"a9dad939dd2760c7a28b88369cc0e3123ccdabb05eb72c2dcd03b9171040793c","schema_version":"1.0","event_id":"sha256:a9dad939dd2760c7a28b88369cc0e3123ccdabb05eb72c2dcd03b9171040793c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KRGVNSPLZEZJL5OZASDG2WUBYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional Data Analysis with Increasing Number of Projections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Josef G. Steinebach, Lajos Horv\\'ath, Piotr Kokoszka, Stefan Fremdt","submitted_at":"2013-02-25T14:33:30Z","abstract_excerpt":"Functional principal components (FPC's) provide the most important and most extensively used tool for dimension reduction and inference for functional data. The selection of the number, d, of the FPC's to be used in a specific procedure has attracted a fair amount of attention, and a number of reasonably effective approaches exist. Intuitively, they assume that the functional data can be sufficiently well approximated by a projection onto a finite-dimensional subspace, and the error resulting from such an approximation does not impact the conclusions. This has been shown to be a very effective"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6102","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"71FOgVUsuLolSfze7+J6Y+XaTjY2Sk81G8aNeQJJkIbLsl5k8CpEyMG7hRBxcpM5Z/L7jE4KMwNo0Tyv/lkWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:36:07.761616Z"},"content_sha256":"f7a33e5ecfe5e4126480948ca9a156d2c4b037658b7d48f1d134162ede3ffd04","schema_version":"1.0","event_id":"sha256:f7a33e5ecfe5e4126480948ca9a156d2c4b037658b7d48f1d134162ede3ffd04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRGVNSPLZEZJL5OZASDG2WUBYW/bundle.json","state_url":"https://pith.science/pith/KRGVNSPLZEZJL5OZASDG2WUBYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRGVNSPLZEZJL5OZASDG2WUBYW/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":"2026-06-03T17:36:07Z","links":{"resolver":"https://pith.science/pith/KRGVNSPLZEZJL5OZASDG2WUBYW","bundle":"https://pith.science/pith/KRGVNSPLZEZJL5OZASDG2WUBYW/bundle.json","state":"https://pith.science/pith/KRGVNSPLZEZJL5OZASDG2WUBYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRGVNSPLZEZJL5OZASDG2WUBYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KRGVNSPLZEZJL5OZASDG2WUBYW","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":"10d17b31258e24da64be9059c47b2dde751f80f882c98907b05ff654f97ffaed","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-25T14:33:30Z","title_canon_sha256":"13bf7ceb3678751e465d0ffa56b952f6bce27ebb8f237c620a84691c890b7c0e"},"schema_version":"1.0","source":{"id":"1302.6102","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6102","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6102v1","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6102","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"KRGVNSPLZEZJ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KRGVNSPLZEZJL5OZ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KRGVNSPL","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:f7a33e5ecfe5e4126480948ca9a156d2c4b037658b7d48f1d134162ede3ffd04","target":"graph","created_at":"2026-05-18T03:32:32Z","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":"Functional principal components (FPC's) provide the most important and most extensively used tool for dimension reduction and inference for functional data. The selection of the number, d, of the FPC's to be used in a specific procedure has attracted a fair amount of attention, and a number of reasonably effective approaches exist. Intuitively, they assume that the functional data can be sufficiently well approximated by a projection onto a finite-dimensional subspace, and the error resulting from such an approximation does not impact the conclusions. This has been shown to be a very effective","authors_text":"Josef G. Steinebach, Lajos Horv\\'ath, Piotr Kokoszka, Stefan Fremdt","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-25T14:33:30Z","title":"Functional Data Analysis with Increasing Number of Projections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6102","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:a9dad939dd2760c7a28b88369cc0e3123ccdabb05eb72c2dcd03b9171040793c","target":"record","created_at":"2026-05-18T03:32:32Z","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":"10d17b31258e24da64be9059c47b2dde751f80f882c98907b05ff654f97ffaed","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-25T14:33:30Z","title_canon_sha256":"13bf7ceb3678751e465d0ffa56b952f6bce27ebb8f237c620a84691c890b7c0e"},"schema_version":"1.0","source":{"id":"1302.6102","kind":"arxiv","version":1}},"canonical_sha256":"544d56c9ebc93295f5d904866d5a81c594966e70ff9f08fbb39a4ef1e6596136","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"544d56c9ebc93295f5d904866d5a81c594966e70ff9f08fbb39a4ef1e6596136","first_computed_at":"2026-05-18T03:32:32.558083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:32.558083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fQ0jXgVuPDF+MryRj7iBNi+XcIOdnYitugp+dpYETgQ2IMGnmI7zBzOJFywsoEs9EG/tiEIH5JI7rgAX5rGTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:32.558811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6102","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9dad939dd2760c7a28b88369cc0e3123ccdabb05eb72c2dcd03b9171040793c","sha256:f7a33e5ecfe5e4126480948ca9a156d2c4b037658b7d48f1d134162ede3ffd04"],"state_sha256":"e812b8d8acca7cc387a73327d54eca7dc8aec8e44af8a325efe21c5d3bdd47c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+p+UM8O6wsKdp4ybVRNA4qH10xzXriLQs1MzrcLfbwOzFlANl8AQmO39ugfLOlXFiqPA80Jbyo7706xUHD6OAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:36:07.763528Z","bundle_sha256":"ad18dc02837ea2b092a3358759b8d84197421fc491053320288e93517e2ac3b8"}}