{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:JVAQ3Z32T4LZEGD7Y5H5NP67W2","short_pith_number":"pith:JVAQ3Z32","schema_version":"1.0","canonical_sha256":"4d410de77a9f1792187fc74fd6bfdfb685d4e143ef35e25fda309adbf882f56c","source":{"kind":"arxiv","id":"2409.19888","version":2},"attestation_state":"computed","paper":{"title":"The only admissible way of merging arbitrary e-values","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ruodu Wang","submitted_at":"2024-09-30T02:34:15Z","abstract_excerpt":"We prove that the only admissible way of merging arbitrary e-values is to use a weighted arithmetic average. This result completes the picture of merging methods for e-values, and generalizes the result of Vovk and Wang (2021, Annals of Statistics, 49(3), 1736--1754) that the only admissible way of symmetrically merging e-values is to use the arithmetic average combined with a constant. Although the proved statement is naturally anticipated, its proof relies on a sophisticated application of optimal transport duality and a minimax theorem."},"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":"2409.19888","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2024-09-30T02:34:15Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"727e8215492154f8e8b661abd0f26e28ce777abf191ccabf62e04a584f2f2cc7","abstract_canon_sha256":"25fdb51a81ee9409fe540082def4e3cf6ea8b8424d6ae4b381cdef033943c1cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:30:56.706657Z","signature_b64":"LpqXzP8lsLpniX5Oza1Ae5zmunwDPRWEC6M9f74Dk3PviDiWJrHKJn0D6t6V+w70RBCMFEJRpdz9edisQcmHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d410de77a9f1792187fc74fd6bfdfb685d4e143ef35e25fda309adbf882f56c","last_reissued_at":"2026-07-05T10:30:56.706131Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:30:56.706131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The only admissible way of merging arbitrary e-values","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ruodu Wang","submitted_at":"2024-09-30T02:34:15Z","abstract_excerpt":"We prove that the only admissible way of merging arbitrary e-values is to use a weighted arithmetic average. This result completes the picture of merging methods for e-values, and generalizes the result of Vovk and Wang (2021, Annals of Statistics, 49(3), 1736--1754) that the only admissible way of symmetrically merging e-values is to use the arithmetic average combined with a constant. Although the proved statement is naturally anticipated, its proof relies on a sophisticated application of optimal transport duality and a minimax theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19888","kind":"arxiv","version":2},"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/2409.19888/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":"2409.19888","created_at":"2026-07-05T10:30:56.706189+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.19888v2","created_at":"2026-07-05T10:30:56.706189+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19888","created_at":"2026-07-05T10:30:56.706189+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVAQ3Z32T4LZ","created_at":"2026-07-05T10:30:56.706189+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVAQ3Z32T4LZEGD7","created_at":"2026-07-05T10:30:56.706189+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVAQ3Z32","created_at":"2026-07-05T10:30:56.706189+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.19360","citing_title":"Carefree multiple testing with e-processes","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2","json":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2.json","graph_json":"https://pith.science/api/pith-number/JVAQ3Z32T4LZEGD7Y5H5NP67W2/graph.json","events_json":"https://pith.science/api/pith-number/JVAQ3Z32T4LZEGD7Y5H5NP67W2/events.json","paper":"https://pith.science/paper/JVAQ3Z32"},"agent_actions":{"view_html":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2","download_json":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2.json","view_paper":"https://pith.science/paper/JVAQ3Z32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.19888&json=true","fetch_graph":"https://pith.science/api/pith-number/JVAQ3Z32T4LZEGD7Y5H5NP67W2/graph.json","fetch_events":"https://pith.science/api/pith-number/JVAQ3Z32T4LZEGD7Y5H5NP67W2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2/action/storage_attestation","attest_author":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2/action/author_attestation","sign_citation":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2/action/citation_signature","submit_replication":"https://pith.science/pith/JVAQ3Z32T4LZEGD7Y5H5NP67W2/action/replication_record"}},"created_at":"2026-07-05T10:30:56.706189+00:00","updated_at":"2026-07-05T10:30:56.706189+00:00"}