{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:TSM2V4ISJCGW3FOYYBATEUPXPV","short_pith_number":"pith:TSM2V4IS","schema_version":"1.0","canonical_sha256":"9c99aaf112488d6d95d8c0413251f77d7923a51e6e619b06088a2722eeb28668","source":{"kind":"arxiv","id":"2305.08609","version":1},"attestation_state":"computed","paper":{"title":"Testing equivalence of multinomial distributions -- a constrained bootstrap approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Holger Dette, Lukas Koletzko, Patrick Bastian","submitted_at":"2023-05-15T12:41:33Z","abstract_excerpt":"In this paper we develop a novel bootstrap test for the comparison of two multinomial distributions. The two distributions are called {\\it equivalent} or {\\it similar} if a norm of the difference between the class probabilities is smaller than a given threshold. In contrast to most of the literature our approach does not require differentiability of the norm and is in particular applicable for the maximum- and $L^1$-norm."},"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":"2305.08609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-05-15T12:41:33Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"66d2a22f06654bb08121f922609f805151f93742acacef4b02b04a864e45fac5","abstract_canon_sha256":"33f382435d759b5dd685c6d43e45a323310623ce559225573c683f5f2ec98f2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:10:12.072150Z","signature_b64":"mgpmlqmJDLXs7GQya0LTwe/KFUNbxa8d187xV3sINHGOq7YOifkU6DlKMsWP3HXVfxgk5IFhxjo9QPWfBPsaBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c99aaf112488d6d95d8c0413251f77d7923a51e6e619b06088a2722eeb28668","last_reissued_at":"2026-07-05T06:10:12.071625Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:10:12.071625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Testing equivalence of multinomial distributions -- a constrained bootstrap approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Holger Dette, Lukas Koletzko, Patrick Bastian","submitted_at":"2023-05-15T12:41:33Z","abstract_excerpt":"In this paper we develop a novel bootstrap test for the comparison of two multinomial distributions. The two distributions are called {\\it equivalent} or {\\it similar} if a norm of the difference between the class probabilities is smaller than a given threshold. In contrast to most of the literature our approach does not require differentiability of the norm and is in particular applicable for the maximum- and $L^1$-norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08609","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.08609/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2305.08609","created_at":"2026-07-05T06:10:12.071684+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.08609v1","created_at":"2026-07-05T06:10:12.071684+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08609","created_at":"2026-07-05T06:10:12.071684+00:00"},{"alias_kind":"pith_short_12","alias_value":"TSM2V4ISJCGW","created_at":"2026-07-05T06:10:12.071684+00:00"},{"alias_kind":"pith_short_16","alias_value":"TSM2V4ISJCGW3FOY","created_at":"2026-07-05T06:10:12.071684+00:00"},{"alias_kind":"pith_short_8","alias_value":"TSM2V4IS","created_at":"2026-07-05T06:10:12.071684+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/TSM2V4ISJCGW3FOYYBATEUPXPV","json":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV.json","graph_json":"https://pith.science/api/pith-number/TSM2V4ISJCGW3FOYYBATEUPXPV/graph.json","events_json":"https://pith.science/api/pith-number/TSM2V4ISJCGW3FOYYBATEUPXPV/events.json","paper":"https://pith.science/paper/TSM2V4IS"},"agent_actions":{"view_html":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV","download_json":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV.json","view_paper":"https://pith.science/paper/TSM2V4IS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.08609&json=true","fetch_graph":"https://pith.science/api/pith-number/TSM2V4ISJCGW3FOYYBATEUPXPV/graph.json","fetch_events":"https://pith.science/api/pith-number/TSM2V4ISJCGW3FOYYBATEUPXPV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/action/storage_attestation","attest_author":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/action/author_attestation","sign_citation":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/action/citation_signature","submit_replication":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/action/replication_record"}},"created_at":"2026-07-05T06:10:12.071684+00:00","updated_at":"2026-07-05T06:10:12.071684+00:00"}