{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HM2ODILWYGMSL4RZY5GKKPFGL4","short_pith_number":"pith:HM2ODILW","schema_version":"1.0","canonical_sha256":"3b34e1a176c19925f239c74ca53ca65f15d0546a899ab4c94c4e157a16a0e67a","source":{"kind":"arxiv","id":"1511.04874","version":3},"attestation_state":"computed","paper":{"title":"Operational Interpretation of Renyi Information Measures via Composite Hypothesis Testing Against Product and Markov Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","quant-ph"],"primary_cat":"cs.IT","authors_text":"Marco Tomamichel, Masahito Hayashi","submitted_at":"2015-11-16T09:21:33Z","abstract_excerpt":"We revisit the problem of asymmetric binary hypothesis testing against a composite alternative hypothesis. We introduce a general framework to treat such problems when the alternative hypothesis adheres to certain axioms. In this case we find the threshold rate, the optimal error and strong converse exponents (at large deviations from the threshold) and the second order asymptotics (at small deviations from the threshold). We apply our results to find operational interpretations of various Renyi information measures. In case the alternative hypothesis is comprised of bipartite product distribu"},"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":"1511.04874","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-16T09:21:33Z","cross_cats_sorted":["math.IT","quant-ph"],"title_canon_sha256":"73c91bca0ab2e4379e4e8140dc5868a56a27ed0032953a5db1ef0f2f0b3eac08","abstract_canon_sha256":"499e54f2396401f1d80003295d2e13f6cc6d491e6e93acfd56389b5bdf6c4580"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:27.409116Z","signature_b64":"re10hnqNin/YuUt7/6wGe+mIG3Yny5BnHbaY7gwMa7Ir3DGg0teR+xuMJfhZIaGJP2cxPYvFy800ThfJN2qbBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b34e1a176c19925f239c74ca53ca65f15d0546a899ab4c94c4e157a16a0e67a","last_reissued_at":"2026-05-18T00:28:27.408416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:27.408416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operational Interpretation of Renyi Information Measures via Composite Hypothesis Testing Against Product and Markov Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","quant-ph"],"primary_cat":"cs.IT","authors_text":"Marco Tomamichel, Masahito Hayashi","submitted_at":"2015-11-16T09:21:33Z","abstract_excerpt":"We revisit the problem of asymmetric binary hypothesis testing against a composite alternative hypothesis. We introduce a general framework to treat such problems when the alternative hypothesis adheres to certain axioms. In this case we find the threshold rate, the optimal error and strong converse exponents (at large deviations from the threshold) and the second order asymptotics (at small deviations from the threshold). We apply our results to find operational interpretations of various Renyi information measures. In case the alternative hypothesis is comprised of bipartite product distribu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04874","kind":"arxiv","version":3},"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":"1511.04874","created_at":"2026-05-18T00:28:27.408505+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.04874v3","created_at":"2026-05-18T00:28:27.408505+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04874","created_at":"2026-05-18T00:28:27.408505+00:00"},{"alias_kind":"pith_short_12","alias_value":"HM2ODILWYGMS","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HM2ODILWYGMSL4RZ","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HM2ODILW","created_at":"2026-05-18T12:29:25.134429+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/HM2ODILWYGMSL4RZY5GKKPFGL4","json":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4.json","graph_json":"https://pith.science/api/pith-number/HM2ODILWYGMSL4RZY5GKKPFGL4/graph.json","events_json":"https://pith.science/api/pith-number/HM2ODILWYGMSL4RZY5GKKPFGL4/events.json","paper":"https://pith.science/paper/HM2ODILW"},"agent_actions":{"view_html":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4","download_json":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4.json","view_paper":"https://pith.science/paper/HM2ODILW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.04874&json=true","fetch_graph":"https://pith.science/api/pith-number/HM2ODILWYGMSL4RZY5GKKPFGL4/graph.json","fetch_events":"https://pith.science/api/pith-number/HM2ODILWYGMSL4RZY5GKKPFGL4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4/action/storage_attestation","attest_author":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4/action/author_attestation","sign_citation":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4/action/citation_signature","submit_replication":"https://pith.science/pith/HM2ODILWYGMSL4RZY5GKKPFGL4/action/replication_record"}},"created_at":"2026-05-18T00:28:27.408505+00:00","updated_at":"2026-05-18T00:28:27.408505+00:00"}