{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NQ3ADROJUMCDH7HRX4L2XOXD2H","short_pith_number":"pith:NQ3ADROJ","canonical_record":{"source":{"id":"1411.3292","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-12T19:29:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"fdf9c3ce985b5527c766c23398fd4712b4d4f64c909dde539b091557b5992792","abstract_canon_sha256":"3560ebebf0c778a3a08856b2b05f1ee8ad0ba0363d68b6bc3b2fc59fae15f7e7"},"schema_version":"1.0"},"canonical_sha256":"6c3601c5c9a30433fcf1bf17abbae3d1c15de824b87cdda717a163fd8a7e83dc","source":{"kind":"arxiv","id":"1411.3292","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3292","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3292v3","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3292","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"NQ3ADROJUMCD","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NQ3ADROJUMCDH7HR","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NQ3ADROJ","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NQ3ADROJUMCDH7HRX4L2XOXD2H","target":"record","payload":{"canonical_record":{"source":{"id":"1411.3292","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-12T19:29:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"fdf9c3ce985b5527c766c23398fd4712b4d4f64c909dde539b091557b5992792","abstract_canon_sha256":"3560ebebf0c778a3a08856b2b05f1ee8ad0ba0363d68b6bc3b2fc59fae15f7e7"},"schema_version":"1.0"},"canonical_sha256":"6c3601c5c9a30433fcf1bf17abbae3d1c15de824b87cdda717a163fd8a7e83dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:37.763550Z","signature_b64":"O8Ho26OBYbEbwR8XgyvNbpIFk1vk3smK6HccxV/DGnsixBjxqdQhT35IlPip5UkcYmB+YfCBQBdGkyLdP83GBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c3601c5c9a30433fcf1bf17abbae3d1c15de824b87cdda717a163fd8a7e83dc","last_reissued_at":"2026-05-18T01:17:37.762759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:37.762759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.3292","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S9MONWQE97XCCi7u6JkuxXIVH7e6ngY7SksDe3XFPef71yebVfNqe17vF4qb9E8kbxxZpwwk5ILgxJ5dRZDxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:07:01.848550Z"},"content_sha256":"81796ac6f227619017be2cf08482072c8ffb457b6644abf4f02b1cca50088f40","schema_version":"1.0","event_id":"sha256:81796ac6f227619017be2cf08482072c8ffb457b6644abf4f02b1cca50088f40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NQ3ADROJUMCDH7HRX4L2XOXD2H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian M-ary Hypothesis Testing: The Meta-Converse and Verd\\'u-Han Bounds are Tight","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Adri\\`a Tauste Campo, Albert Guill\\'en i F\\`abregas, Alfonso Martinez, Gonzalo Vazquez-Vilar","submitted_at":"2014-11-12T19:29:00Z","abstract_excerpt":"Two alternative exact characterizations of the minimum error probability of Bayesian M-ary hypothesis testing are derived. The first expression corresponds to the error probability of an induced binary hypothesis test and implies the tightness of the meta-converse bound by Polyanskiy, Poor and Verd\\'u; the second expression is function of an information-spectrum measure and implies the tightness of a generalized Verd\\'u-Han lower bound. The formulas characterize the minimum error probability of several problems in information theory and help to identify the steps where existing converse bounds"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3292","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rrSeYsyH1Of4CDR6ZPj+IIMII0pMGQwX7gJR3WebNhhWvJZpd2+PnUa8hfdz9ryzlsNv0caUJO4OIUQ2R84pAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:07:01.849245Z"},"content_sha256":"8394b4005e48a9bbaf451480bb088232d9787506751c6926a3f81aa8ae366051","schema_version":"1.0","event_id":"sha256:8394b4005e48a9bbaf451480bb088232d9787506751c6926a3f81aa8ae366051"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H/bundle.json","state_url":"https://pith.science/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H/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":"2026-06-05T03:07:01Z","links":{"resolver":"https://pith.science/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H","bundle":"https://pith.science/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H/bundle.json","state":"https://pith.science/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQ3ADROJUMCDH7HRX4L2XOXD2H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NQ3ADROJUMCDH7HRX4L2XOXD2H","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":"3560ebebf0c778a3a08856b2b05f1ee8ad0ba0363d68b6bc3b2fc59fae15f7e7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-12T19:29:00Z","title_canon_sha256":"fdf9c3ce985b5527c766c23398fd4712b4d4f64c909dde539b091557b5992792"},"schema_version":"1.0","source":{"id":"1411.3292","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3292","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3292v3","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3292","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"NQ3ADROJUMCD","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NQ3ADROJUMCDH7HR","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NQ3ADROJ","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:8394b4005e48a9bbaf451480bb088232d9787506751c6926a3f81aa8ae366051","target":"graph","created_at":"2026-05-18T01:17:37Z","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":"Two alternative exact characterizations of the minimum error probability of Bayesian M-ary hypothesis testing are derived. The first expression corresponds to the error probability of an induced binary hypothesis test and implies the tightness of the meta-converse bound by Polyanskiy, Poor and Verd\\'u; the second expression is function of an information-spectrum measure and implies the tightness of a generalized Verd\\'u-Han lower bound. The formulas characterize the minimum error probability of several problems in information theory and help to identify the steps where existing converse bounds","authors_text":"Adri\\`a Tauste Campo, Albert Guill\\'en i F\\`abregas, Alfonso Martinez, Gonzalo Vazquez-Vilar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-12T19:29:00Z","title":"Bayesian M-ary Hypothesis Testing: The Meta-Converse and Verd\\'u-Han Bounds are Tight"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3292","kind":"arxiv","version":3},"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":"sha256:81796ac6f227619017be2cf08482072c8ffb457b6644abf4f02b1cca50088f40","target":"record","created_at":"2026-05-18T01:17:37Z","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":"3560ebebf0c778a3a08856b2b05f1ee8ad0ba0363d68b6bc3b2fc59fae15f7e7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-12T19:29:00Z","title_canon_sha256":"fdf9c3ce985b5527c766c23398fd4712b4d4f64c909dde539b091557b5992792"},"schema_version":"1.0","source":{"id":"1411.3292","kind":"arxiv","version":3}},"canonical_sha256":"6c3601c5c9a30433fcf1bf17abbae3d1c15de824b87cdda717a163fd8a7e83dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c3601c5c9a30433fcf1bf17abbae3d1c15de824b87cdda717a163fd8a7e83dc","first_computed_at":"2026-05-18T01:17:37.762759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:37.762759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O8Ho26OBYbEbwR8XgyvNbpIFk1vk3smK6HccxV/DGnsixBjxqdQhT35IlPip5UkcYmB+YfCBQBdGkyLdP83GBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:37.763550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3292","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81796ac6f227619017be2cf08482072c8ffb457b6644abf4f02b1cca50088f40","sha256:8394b4005e48a9bbaf451480bb088232d9787506751c6926a3f81aa8ae366051"],"state_sha256":"c235656ffb514b4be84dd89e35ac2a5db2711cdbf2e852ed1035f1e75ea90619"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1GAyLpKgZFWKRpkk0g6hrX/SYh7H+x4qckDt9jSnw0H4QyUNrSVH0VD2Bxvosj3RMfm2j0fCOdo4oO2sMCvRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T03:07:01.852824Z","bundle_sha256":"f249d2bd10c783d65debb5ddcd734ae2c754ef883f237156cf9872446ed8f2b1"}}