{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:J3NOJ6ESTOGV227ZCP2GQEFT72","short_pith_number":"pith:J3NOJ6ES","canonical_record":{"source":{"id":"1401.6258","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-24T04:44:38Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4473ce513f4d3514ad5c605700862dd75c45f301d0f4358099ed4b0c5eb4a8a","abstract_canon_sha256":"e88415088339e23181dbc526be7eac3d4aafc0a80ec80b69f70409db197c4dbf"},"schema_version":"1.0"},"canonical_sha256":"4edae4f8929b8d5d6bf913f46810b3fea5e4462880655b9adad08e7a8955f074","source":{"kind":"arxiv","id":"1401.6258","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6258","created_at":"2026-05-18T02:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6258v5","created_at":"2026-05-18T02:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6258","created_at":"2026-05-18T02:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"J3NOJ6ESTOGV","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J3NOJ6ESTOGV227Z","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J3NOJ6ES","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:J3NOJ6ESTOGV227ZCP2GQEFT72","target":"record","payload":{"canonical_record":{"source":{"id":"1401.6258","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-24T04:44:38Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4473ce513f4d3514ad5c605700862dd75c45f301d0f4358099ed4b0c5eb4a8a","abstract_canon_sha256":"e88415088339e23181dbc526be7eac3d4aafc0a80ec80b69f70409db197c4dbf"},"schema_version":"1.0"},"canonical_sha256":"4edae4f8929b8d5d6bf913f46810b3fea5e4462880655b9adad08e7a8955f074","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:32.179150Z","signature_b64":"yWpNfCixu31jzamiBaf6Bm165WE+7BmkV5/ZSYU3oWZDGaRQSS7x/sjeiYffSlf9VZfN7+yC7ea9f53AWI0NAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4edae4f8929b8d5d6bf913f46810b3fea5e4462880655b9adad08e7a8955f074","last_reissued_at":"2026-05-18T02:58:32.178274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:32.178274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.6258","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E0BMmK5uuht/5Mf4Y04KrrNMhMuwgrTUyyIje85VcCkSTL4D7yl361lKAQ3SMJRJHqEEyBginuUgl663EgoMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:00:29.407407Z"},"content_sha256":"6fa31101ef7a906a136d4cd14fd712914f9ff80d88ae6cf900c59757c6cb2bdf","schema_version":"1.0","event_id":"sha256:6fa31101ef7a906a136d4cd14fd712914f9ff80d88ae6cf900c59757c6cb2bdf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:J3NOJ6ESTOGV227ZCP2GQEFT72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Qiao Wang, Yinfei Xu","submitted_at":"2014-01-24T04:44:38Z","abstract_excerpt":"We establish a new extremal inequality, which is further leveraged to give a complete characterization of the rate region of the vector Gaussian CEO problem with the trace distortion constraint. The proof of this extremal inequality hinges on a careful analysis of the Karush-Kuhn-Tucker necessary conditions for the non-convex optimization problem associated with the Berger-Tung scheme, which enables us to integrate the perturbation argument by Wang and Chen with the distortion projection method by Rahman and Wagner."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6258","kind":"arxiv","version":5},"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":"2026-05-18T02:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2NNMTCXKGCcuezM5TZngHBJtWvxkxvuPVVLU5mlsV3kZqMDsBkl2brboIRq6xpUKuq40UM8tA/nhTJOJsOTOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:00:29.407838Z"},"content_sha256":"a2e8d143f512da29be2316e5e39916fc80f97ca985ac4353cb7b111fb88b0351","schema_version":"1.0","event_id":"sha256:a2e8d143f512da29be2316e5e39916fc80f97ca985ac4353cb7b111fb88b0351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3NOJ6ESTOGV227ZCP2GQEFT72/bundle.json","state_url":"https://pith.science/pith/J3NOJ6ESTOGV227ZCP2GQEFT72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3NOJ6ESTOGV227ZCP2GQEFT72/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":"2026-05-26T20:00:29Z","links":{"resolver":"https://pith.science/pith/J3NOJ6ESTOGV227ZCP2GQEFT72","bundle":"https://pith.science/pith/J3NOJ6ESTOGV227ZCP2GQEFT72/bundle.json","state":"https://pith.science/pith/J3NOJ6ESTOGV227ZCP2GQEFT72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3NOJ6ESTOGV227ZCP2GQEFT72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J3NOJ6ESTOGV227ZCP2GQEFT72","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":"e88415088339e23181dbc526be7eac3d4aafc0a80ec80b69f70409db197c4dbf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-24T04:44:38Z","title_canon_sha256":"f4473ce513f4d3514ad5c605700862dd75c45f301d0f4358099ed4b0c5eb4a8a"},"schema_version":"1.0","source":{"id":"1401.6258","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6258","created_at":"2026-05-18T02:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6258v5","created_at":"2026-05-18T02:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6258","created_at":"2026-05-18T02:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"J3NOJ6ESTOGV","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J3NOJ6ESTOGV227Z","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J3NOJ6ES","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:a2e8d143f512da29be2316e5e39916fc80f97ca985ac4353cb7b111fb88b0351","target":"graph","created_at":"2026-05-18T02:58:32Z","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":"We establish a new extremal inequality, which is further leveraged to give a complete characterization of the rate region of the vector Gaussian CEO problem with the trace distortion constraint. The proof of this extremal inequality hinges on a careful analysis of the Karush-Kuhn-Tucker necessary conditions for the non-convex optimization problem associated with the Berger-Tung scheme, which enables us to integrate the perturbation argument by Wang and Chen with the distortion projection method by Rahman and Wagner.","authors_text":"Qiao Wang, Yinfei Xu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-24T04:44:38Z","title":"Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion Constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6258","kind":"arxiv","version":5},"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":"sha256:6fa31101ef7a906a136d4cd14fd712914f9ff80d88ae6cf900c59757c6cb2bdf","target":"record","created_at":"2026-05-18T02:58:32Z","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":"e88415088339e23181dbc526be7eac3d4aafc0a80ec80b69f70409db197c4dbf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-24T04:44:38Z","title_canon_sha256":"f4473ce513f4d3514ad5c605700862dd75c45f301d0f4358099ed4b0c5eb4a8a"},"schema_version":"1.0","source":{"id":"1401.6258","kind":"arxiv","version":5}},"canonical_sha256":"4edae4f8929b8d5d6bf913f46810b3fea5e4462880655b9adad08e7a8955f074","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4edae4f8929b8d5d6bf913f46810b3fea5e4462880655b9adad08e7a8955f074","first_computed_at":"2026-05-18T02:58:32.178274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:32.178274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yWpNfCixu31jzamiBaf6Bm165WE+7BmkV5/ZSYU3oWZDGaRQSS7x/sjeiYffSlf9VZfN7+yC7ea9f53AWI0NAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:32.179150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6258","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fa31101ef7a906a136d4cd14fd712914f9ff80d88ae6cf900c59757c6cb2bdf","sha256:a2e8d143f512da29be2316e5e39916fc80f97ca985ac4353cb7b111fb88b0351"],"state_sha256":"133bda29da6f16ea4ae7723ebff1287027331f261c45a9ffb07ebaa2fe625f5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bp9Q40DWYcEQDcK2af6oa+OHk4EM9nnCWUgZQn+tlZ1q6Z5DNQRMgDkCO4ecCIOyUupCk6ehQos25wc8IbhTDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:00:29.410466Z","bundle_sha256":"bc2cd93c9cace54a3793f35f88c2dc272ea76ec0e307322a5c96176c3f19642e"}}