{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:D2EGUXIVMBG5GF5SV43RBPZDL3","short_pith_number":"pith:D2EGUXIV","canonical_record":{"source":{"id":"1805.12249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-30T22:27:34Z","cross_cats_sorted":[],"title_canon_sha256":"1cae10549ad549bfe9c7d4d141d0ae07ee6374ebb85d2a05bcf8c85338b58fa5","abstract_canon_sha256":"01d7b785aa05aab0741b5af48927eb951706d3697015387da7f511002ee60e99"},"schema_version":"1.0"},"canonical_sha256":"1e886a5d15604dd317b2af3710bf235ed907d7c1732f9b7a87e3622ac21a5959","source":{"kind":"arxiv","id":"1805.12249","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.12249","created_at":"2026-05-18T00:03:46Z"},{"alias_kind":"arxiv_version","alias_value":"1805.12249v1","created_at":"2026-05-18T00:03:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.12249","created_at":"2026-05-18T00:03:46Z"},{"alias_kind":"pith_short_12","alias_value":"D2EGUXIVMBG5","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D2EGUXIVMBG5GF5S","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D2EGUXIV","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:D2EGUXIVMBG5GF5SV43RBPZDL3","target":"record","payload":{"canonical_record":{"source":{"id":"1805.12249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-30T22:27:34Z","cross_cats_sorted":[],"title_canon_sha256":"1cae10549ad549bfe9c7d4d141d0ae07ee6374ebb85d2a05bcf8c85338b58fa5","abstract_canon_sha256":"01d7b785aa05aab0741b5af48927eb951706d3697015387da7f511002ee60e99"},"schema_version":"1.0"},"canonical_sha256":"1e886a5d15604dd317b2af3710bf235ed907d7c1732f9b7a87e3622ac21a5959","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:46.841730Z","signature_b64":"bUQutv0Y+eKNW4YBVMsdLYJ0SnzOpFZyjPsUf0BwC/hFRXHvioOs795sXbPn+Tc/5y0+mLh5Kde/AIsx0zGfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e886a5d15604dd317b2af3710bf235ed907d7c1732f9b7a87e3622ac21a5959","last_reissued_at":"2026-05-18T00:03:46.841102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:46.841102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.12249","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":"2026-05-18T00:03:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XOtTsPESeoCfxBFtVQgt0Tw+NPfvk2tNWKiRvJN5G4qwG8TzbiNKERXW5UbAdjkYQmC5hTmFAvf8+s+8KEODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:44:34.218097Z"},"content_sha256":"5360709fe0c1d22364e7b1051b17fc32a9c8ad17369e5390701cf0663ab96be7","schema_version":"1.0","event_id":"sha256:5360709fe0c1d22364e7b1051b17fc32a9c8ad17369e5390701cf0663ab96be7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:D2EGUXIVMBG5GF5SV43RBPZDL3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Sample Size Planning for the Wilcoxon-Mann-Whitney-Test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Arne C. Bathke, Edgar Brunner, Martin Happ","submitted_at":"2018-05-30T22:27:34Z","abstract_excerpt":"There are many different proposed procedures for sample size planning for the Wilcoxon-Mann-Whitney test at given type-I and type-II error rates $\\alpha$ and $\\beta$, respectively. Most methods assume very specific models or types of data in order to simplify calculations (for example, ordered categorical or metric data, location shift alternatives, etc.). We present a unified approach that covers metric data with and without ties, count data, ordered categorical data, and even dichotomous data. For that, we calculate the unknown theoretical quantities such as the variances under the null and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12249","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":"2026-05-18T00:03:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/JWBERVid6rkFFlF6giUOt2he5k5ClqWxL1oYz9z4//w47bMoBIGTtuczNAGfuN9SISjy89W23VceEcK7/7aCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:44:34.218461Z"},"content_sha256":"8bbbf0820ffbc94dc394c4d9e36110774b902df33d19158764e5a19671294c0d","schema_version":"1.0","event_id":"sha256:8bbbf0820ffbc94dc394c4d9e36110774b902df33d19158764e5a19671294c0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2EGUXIVMBG5GF5SV43RBPZDL3/bundle.json","state_url":"https://pith.science/pith/D2EGUXIVMBG5GF5SV43RBPZDL3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2EGUXIVMBG5GF5SV43RBPZDL3/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":"2026-06-24T07:44:34Z","links":{"resolver":"https://pith.science/pith/D2EGUXIVMBG5GF5SV43RBPZDL3","bundle":"https://pith.science/pith/D2EGUXIVMBG5GF5SV43RBPZDL3/bundle.json","state":"https://pith.science/pith/D2EGUXIVMBG5GF5SV43RBPZDL3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2EGUXIVMBG5GF5SV43RBPZDL3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D2EGUXIVMBG5GF5SV43RBPZDL3","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":"01d7b785aa05aab0741b5af48927eb951706d3697015387da7f511002ee60e99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-30T22:27:34Z","title_canon_sha256":"1cae10549ad549bfe9c7d4d141d0ae07ee6374ebb85d2a05bcf8c85338b58fa5"},"schema_version":"1.0","source":{"id":"1805.12249","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.12249","created_at":"2026-05-18T00:03:46Z"},{"alias_kind":"arxiv_version","alias_value":"1805.12249v1","created_at":"2026-05-18T00:03:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.12249","created_at":"2026-05-18T00:03:46Z"},{"alias_kind":"pith_short_12","alias_value":"D2EGUXIVMBG5","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D2EGUXIVMBG5GF5S","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D2EGUXIV","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:8bbbf0820ffbc94dc394c4d9e36110774b902df33d19158764e5a19671294c0d","target":"graph","created_at":"2026-05-18T00:03:46Z","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":"There are many different proposed procedures for sample size planning for the Wilcoxon-Mann-Whitney test at given type-I and type-II error rates $\\alpha$ and $\\beta$, respectively. Most methods assume very specific models or types of data in order to simplify calculations (for example, ordered categorical or metric data, location shift alternatives, etc.). We present a unified approach that covers metric data with and without ties, count data, ordered categorical data, and even dichotomous data. For that, we calculate the unknown theoretical quantities such as the variances under the null and ","authors_text":"Arne C. Bathke, Edgar Brunner, Martin Happ","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-30T22:27:34Z","title":"Optimal Sample Size Planning for the Wilcoxon-Mann-Whitney-Test"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12249","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":"sha256:5360709fe0c1d22364e7b1051b17fc32a9c8ad17369e5390701cf0663ab96be7","target":"record","created_at":"2026-05-18T00:03:46Z","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":"01d7b785aa05aab0741b5af48927eb951706d3697015387da7f511002ee60e99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-30T22:27:34Z","title_canon_sha256":"1cae10549ad549bfe9c7d4d141d0ae07ee6374ebb85d2a05bcf8c85338b58fa5"},"schema_version":"1.0","source":{"id":"1805.12249","kind":"arxiv","version":1}},"canonical_sha256":"1e886a5d15604dd317b2af3710bf235ed907d7c1732f9b7a87e3622ac21a5959","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e886a5d15604dd317b2af3710bf235ed907d7c1732f9b7a87e3622ac21a5959","first_computed_at":"2026-05-18T00:03:46.841102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:46.841102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bUQutv0Y+eKNW4YBVMsdLYJ0SnzOpFZyjPsUf0BwC/hFRXHvioOs795sXbPn+Tc/5y0+mLh5Kde/AIsx0zGfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:46.841730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.12249","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5360709fe0c1d22364e7b1051b17fc32a9c8ad17369e5390701cf0663ab96be7","sha256:8bbbf0820ffbc94dc394c4d9e36110774b902df33d19158764e5a19671294c0d"],"state_sha256":"d7cc977c8b40a101e0d0636d5e56fef78fac9188b2c01ff1c9741b070636e497"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Msd4UPLHrhP099WZXQ1Cl93AERTwNqOT961jdsOw28No1uhMNLS2f5VUid/9b7aRUHGjCxKhDQ5aGt7izrWSCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:44:34.220427Z","bundle_sha256":"8531febb4e9bc487499122ca7a25274906d248ba19cb0daa5eeb26a1ea93e663"}}