{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LGTFGLUZCWWSN5OX5TGCKNNMY5","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":"063afc71bf445904ba5902cb2f8d9533a78d66abbd60c171967d0a3e39881616","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-07-07T15:06:34Z","title_canon_sha256":"efdf921e995046a9e06b271f9f09f068b39950cd9f0e87b1f286447a30be48a9"},"schema_version":"1.0","source":{"id":"1507.01835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01835","created_at":"2026-05-18T01:37:12Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01835v1","created_at":"2026-05-18T01:37:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01835","created_at":"2026-05-18T01:37:12Z"},{"alias_kind":"pith_short_12","alias_value":"LGTFGLUZCWWS","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LGTFGLUZCWWSN5OX","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LGTFGLUZ","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:6f970ffd333be19602d3fea39f935ba4a7d7c6a2432b2bf41110bb0e11e79d7a","target":"graph","created_at":"2026-05-18T01:37:12Z","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":"In the context of functional data analysis, we propose new two sample tests for homogeneity. Based on some well-known depth measures, we construct four different statistics in order to measure distance between the two samples. A simulation study is performed to check the efficiency of the tests when confronted with shape and magnitude perturbation. Finally, we apply these tools to measure the homogeneity in some samples of real data, obtaining good results using this new method.","authors_text":"Juan Romo, Ram\\'on Flores, Rosa Lillo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-07-07T15:06:34Z","title":"Homogeneity test for functional data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01835","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":"sha256:28501b3bbafef6ed946fd0d3257284b67aa03caa96406aed66c18095f0748802","target":"record","created_at":"2026-05-18T01:37:12Z","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":"063afc71bf445904ba5902cb2f8d9533a78d66abbd60c171967d0a3e39881616","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-07-07T15:06:34Z","title_canon_sha256":"efdf921e995046a9e06b271f9f09f068b39950cd9f0e87b1f286447a30be48a9"},"schema_version":"1.0","source":{"id":"1507.01835","kind":"arxiv","version":1}},"canonical_sha256":"59a6532e9915ad26f5d7eccc2535acc763391899042c44c626617dd219423d11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59a6532e9915ad26f5d7eccc2535acc763391899042c44c626617dd219423d11","first_computed_at":"2026-05-18T01:37:12.284347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:12.284347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JqH9XxB0ibYMO5BxaUN9g8kHTNMxJGxi8hD/g36wJ+DFrjVn8C5YzAzu2487Ccr++q/9/qaIRjHF/U8vuWgqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:12.285038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.01835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28501b3bbafef6ed946fd0d3257284b67aa03caa96406aed66c18095f0748802","sha256:6f970ffd333be19602d3fea39f935ba4a7d7c6a2432b2bf41110bb0e11e79d7a"],"state_sha256":"8d6d26b6d05f13cb74ce5c0585a492fbbc9fd833815873e94ffcd2fb85210b50"}