{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PR53YTJ6IAMYTUSRXS4DQ3KHHL","short_pith_number":"pith:PR53YTJ6","schema_version":"1.0","canonical_sha256":"7c7bbc4d3e401989d251bcb8386d473adfa7011e122ec4b2629f70176f65ecb4","source":{"kind":"arxiv","id":"1602.03760","version":1},"attestation_state":"computed","paper":{"title":"Extending Hypothesis Testing with Persistence Homology to Three or More Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"stat.ME","authors_text":"Christopher Cericola, Inga Johnson, Johanna Torrence, Jordan Purdy, Joshua Kiers, Mitchell Krock","submitted_at":"2016-01-14T21:07:51Z","abstract_excerpt":"We extend the work of Robinson and Turner to use hypothesis testing with persistence homology to test for measurable differences in shape between point clouds from three or more groups. Using samples of point clouds from three distinct groups, we conduct a large-scale simulation study to validate our proposed extension. We consider various combinations of groups, samples sizes and measurement errors in the simulation study, providing for each combination the percentage of $p$-values below an alpha-level of 0.05. Additionally, we apply our method to a Cardiotocography data set and find statisti"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1602.03760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-01-14T21:07:51Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"c08787b6be4c79ab7103a2f1de9ecf6f37b529e1b34b34ad00a0dc911bd93169","abstract_canon_sha256":"717c00092691c693d7c922b23769c957143a52528ce29e5495ad277eeca7f5b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:59.782568Z","signature_b64":"jcPgf1VyTKmS3Tv69PNpHoes65bmFgz7NcKybD45Yr+jVa9uba26dTxukrYmTx1Zf1AwQsmqojSWI1lo8a3FBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c7bbc4d3e401989d251bcb8386d473adfa7011e122ec4b2629f70176f65ecb4","last_reissued_at":"2026-05-18T00:20:59.781940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:59.781940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extending Hypothesis Testing with Persistence Homology to Three or More Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"stat.ME","authors_text":"Christopher Cericola, Inga Johnson, Johanna Torrence, Jordan Purdy, Joshua Kiers, Mitchell Krock","submitted_at":"2016-01-14T21:07:51Z","abstract_excerpt":"We extend the work of Robinson and Turner to use hypothesis testing with persistence homology to test for measurable differences in shape between point clouds from three or more groups. Using samples of point clouds from three distinct groups, we conduct a large-scale simulation study to validate our proposed extension. We consider various combinations of groups, samples sizes and measurement errors in the simulation study, providing for each combination the percentage of $p$-values below an alpha-level of 0.05. Additionally, we apply our method to a Cardiotocography data set and find statisti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03760","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.03760","created_at":"2026-05-18T00:20:59.782039+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.03760v1","created_at":"2026-05-18T00:20:59.782039+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03760","created_at":"2026-05-18T00:20:59.782039+00:00"},{"alias_kind":"pith_short_12","alias_value":"PR53YTJ6IAMY","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PR53YTJ6IAMYTUSR","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PR53YTJ6","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL","json":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL.json","graph_json":"https://pith.science/api/pith-number/PR53YTJ6IAMYTUSRXS4DQ3KHHL/graph.json","events_json":"https://pith.science/api/pith-number/PR53YTJ6IAMYTUSRXS4DQ3KHHL/events.json","paper":"https://pith.science/paper/PR53YTJ6"},"agent_actions":{"view_html":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL","download_json":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL.json","view_paper":"https://pith.science/paper/PR53YTJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.03760&json=true","fetch_graph":"https://pith.science/api/pith-number/PR53YTJ6IAMYTUSRXS4DQ3KHHL/graph.json","fetch_events":"https://pith.science/api/pith-number/PR53YTJ6IAMYTUSRXS4DQ3KHHL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL/action/storage_attestation","attest_author":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL/action/author_attestation","sign_citation":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL/action/citation_signature","submit_replication":"https://pith.science/pith/PR53YTJ6IAMYTUSRXS4DQ3KHHL/action/replication_record"}},"created_at":"2026-05-18T00:20:59.782039+00:00","updated_at":"2026-05-18T00:20:59.782039+00:00"}