{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:TSM2V4ISJCGW3FOYYBATEUPXPV","short_pith_number":"pith:TSM2V4IS","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"},"canonical_sha256":"9c99aaf112488d6d95d8c0413251f77d7923a51e6e619b06088a2722eeb28668","source":{"kind":"arxiv","id":"2305.08609","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08609","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08609v1","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08609","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"TSM2V4ISJCGW","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"pith_short_16","alias_value":"TSM2V4ISJCGW3FOY","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"pith_short_8","alias_value":"TSM2V4IS","created_at":"2026-07-05T06:10:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:TSM2V4ISJCGW3FOYYBATEUPXPV","target":"record","payload":{"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"},"canonical_sha256":"9c99aaf112488d6d95d8c0413251f77d7923a51e6e619b06088a2722eeb28668","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"},"source_kind":"arxiv","source_id":"2305.08609","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":"2026-07-05T06:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6RUvIRy2TgzgSMeL7kxiy+zg8qE7turoHvPT3icEHwkRNdvmPOpBMxqeXABWFDAIL1zrNNlIet/A3sDyiLnjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:10:15.179379Z"},"content_sha256":"2d36c75ebdbc12b15af2a902dc5d522467225eafecb32d2c65b4298aff2e32dc","schema_version":"1.0","event_id":"sha256:2d36c75ebdbc12b15af2a902dc5d522467225eafecb32d2c65b4298aff2e32dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:TSM2V4ISJCGW3FOYYBATEUPXPV","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E6489kYYSWd9E2zZDUb3Dq0JgUDxl1sCnE9ApmLerafHYkY20n7WiAoRxv+774xNhZ86Qtlk9QbAuCawyhNiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:10:15.179750Z"},"content_sha256":"2a09d306dbab18f175646f90ac370a76710fb2d95a890c84194fb4429844967d","schema_version":"1.0","event_id":"sha256:2a09d306dbab18f175646f90ac370a76710fb2d95a890c84194fb4429844967d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/bundle.json","state_url":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/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":"2026-07-07T12:10:15Z","links":{"resolver":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV","bundle":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/bundle.json","state":"https://pith.science/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TSM2V4ISJCGW3FOYYBATEUPXPV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:TSM2V4ISJCGW3FOYYBATEUPXPV","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":"33f382435d759b5dd685c6d43e45a323310623ce559225573c683f5f2ec98f2c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-05-15T12:41:33Z","title_canon_sha256":"66d2a22f06654bb08121f922609f805151f93742acacef4b02b04a864e45fac5"},"schema_version":"1.0","source":{"id":"2305.08609","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08609","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08609v1","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08609","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"TSM2V4ISJCGW","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"pith_short_16","alias_value":"TSM2V4ISJCGW3FOY","created_at":"2026-07-05T06:10:12Z"},{"alias_kind":"pith_short_8","alias_value":"TSM2V4IS","created_at":"2026-07-05T06:10:12Z"}],"graph_snapshots":[{"event_id":"sha256:2a09d306dbab18f175646f90ac370a76710fb2d95a890c84194fb4429844967d","target":"graph","created_at":"2026-07-05T06:10:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.08609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Holger Dette, Lukas Koletzko, Patrick Bastian","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-05-15T12:41:33Z","title":"Testing equivalence of multinomial distributions -- a constrained bootstrap approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08609","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":"sha256:2d36c75ebdbc12b15af2a902dc5d522467225eafecb32d2c65b4298aff2e32dc","target":"record","created_at":"2026-07-05T06:10:12Z","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":"33f382435d759b5dd685c6d43e45a323310623ce559225573c683f5f2ec98f2c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-05-15T12:41:33Z","title_canon_sha256":"66d2a22f06654bb08121f922609f805151f93742acacef4b02b04a864e45fac5"},"schema_version":"1.0","source":{"id":"2305.08609","kind":"arxiv","version":1}},"canonical_sha256":"9c99aaf112488d6d95d8c0413251f77d7923a51e6e619b06088a2722eeb28668","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c99aaf112488d6d95d8c0413251f77d7923a51e6e619b06088a2722eeb28668","first_computed_at":"2026-07-05T06:10:12.071625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:10:12.071625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mgpmlqmJDLXs7GQya0LTwe/KFUNbxa8d187xV3sINHGOq7YOifkU6DlKMsWP3HXVfxgk5IFhxjo9QPWfBPsaBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:10:12.072150Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.08609","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d36c75ebdbc12b15af2a902dc5d522467225eafecb32d2c65b4298aff2e32dc","sha256:2a09d306dbab18f175646f90ac370a76710fb2d95a890c84194fb4429844967d"],"state_sha256":"97031b2d925839cbe367ea1d31e64e37e45a3dbcf0c8a4369e565578956d8b1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FVwthxxlJ/1x0vOLaUpYRFeiI1z3B/qz4iNaFUzIvaTrv50eHdR/SXyodFoXzCAE46TvlAmAtoo+fYunBR5jCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:10:15.181654Z","bundle_sha256":"c03cf5545b87805e560db5c9c5f65448f4e9320701160347867e79ac7e053139"}}