{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ENGMZI4NRUWLY464XNJVKR3UH4","short_pith_number":"pith:ENGMZI4N","canonical_record":{"source":{"id":"1301.4765","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-01-21T06:37:19Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"31dad20c6fe148c51d3c21ede7b822f5e74e56372124012fa05e96b4d04905b1","abstract_canon_sha256":"c465c8c4d5b133ba547122ec95f875d90e87174906e8019f35c3e93e819c6bae"},"schema_version":"1.0"},"canonical_sha256":"234ccca38d8d2cbc73dcbb535547743f1e3b0c4ab9103d8fff1ed2e9bf08001e","source":{"kind":"arxiv","id":"1301.4765","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4765","created_at":"2026-05-18T03:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4765v1","created_at":"2026-05-18T03:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4765","created_at":"2026-05-18T03:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"ENGMZI4NRUWL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ENGMZI4NRUWLY464","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ENGMZI4N","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ENGMZI4NRUWLY464XNJVKR3UH4","target":"record","payload":{"canonical_record":{"source":{"id":"1301.4765","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-01-21T06:37:19Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"31dad20c6fe148c51d3c21ede7b822f5e74e56372124012fa05e96b4d04905b1","abstract_canon_sha256":"c465c8c4d5b133ba547122ec95f875d90e87174906e8019f35c3e93e819c6bae"},"schema_version":"1.0"},"canonical_sha256":"234ccca38d8d2cbc73dcbb535547743f1e3b0c4ab9103d8fff1ed2e9bf08001e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:55.707286Z","signature_b64":"/wbhXpTZ4/jfoP+cT0R/GN9DYqmXXdZgmUHD7DUxPPvH0uFeSVGH+Y4lgFp2q1ajZb+pASx1p3yUUQ3JQ+atCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"234ccca38d8d2cbc73dcbb535547743f1e3b0c4ab9103d8fff1ed2e9bf08001e","last_reissued_at":"2026-05-18T03:35:55.706586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:55.706586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.4765","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":"2026-05-18T03:35:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDQ7ggbKNaEFQvaF6BWkIo/G4krTBz3BjkEjA5d0RjrSWrMft8VKlkAgvsMP9GwGVb3jmGvYfa1uyGlEGBB6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T14:00:19.972726Z"},"content_sha256":"1cf14c4d4ef272087ef439945c2233f7cfd5312e6654f85970d0d193628f702e","schema_version":"1.0","event_id":"sha256:1cf14c4d4ef272087ef439945c2233f7cfd5312e6654f85970d0d193628f702e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ENGMZI4NRUWLY464XNJVKR3UH4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Capacity Analysis of Bidirectional AF Relay Selection with Imperfect Channel State Information","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bingli Jiao, Hongyu Cui, Lingyang Song, Rongqing Zhang","submitted_at":"2013-01-21T06:37:19Z","abstract_excerpt":"In this letter, we analyze the ergodic capacity of bidirectional amplify-and-forward relay selection (RS) with imperfect channel state information (CSI), i.e., outdated CSI and imperfect channel estimation. Practically, the optimal RS scheme in maximizing the ergodic capacity cannot be achieved, due to the imperfect CSI. Therefore, two suboptimal RS schemes are discussed and analyzed, in which the first RS scheme is based on the imperfect channel coefficients, and the second RS scheme is based on the predicted channel coefficients. The lower bound of the ergodic capacity with imperfect CSI is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4765","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":"2026-05-18T03:35:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hiZ143FDSN/my/xph0oAzIxKhUH9Rew7AzdN19dRr2yV9Jux6d7f2ORptAWHXfiCc5j0D328QJ5RznUI0apHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T14:00:19.973101Z"},"content_sha256":"cef02b1156a84b5cf03d1000a238ffffb0fed2a13582995d021b101be73f21ab","schema_version":"1.0","event_id":"sha256:cef02b1156a84b5cf03d1000a238ffffb0fed2a13582995d021b101be73f21ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENGMZI4NRUWLY464XNJVKR3UH4/bundle.json","state_url":"https://pith.science/pith/ENGMZI4NRUWLY464XNJVKR3UH4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENGMZI4NRUWLY464XNJVKR3UH4/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":"2026-06-24T14:00:19Z","links":{"resolver":"https://pith.science/pith/ENGMZI4NRUWLY464XNJVKR3UH4","bundle":"https://pith.science/pith/ENGMZI4NRUWLY464XNJVKR3UH4/bundle.json","state":"https://pith.science/pith/ENGMZI4NRUWLY464XNJVKR3UH4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENGMZI4NRUWLY464XNJVKR3UH4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ENGMZI4NRUWLY464XNJVKR3UH4","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":"c465c8c4d5b133ba547122ec95f875d90e87174906e8019f35c3e93e819c6bae","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-01-21T06:37:19Z","title_canon_sha256":"31dad20c6fe148c51d3c21ede7b822f5e74e56372124012fa05e96b4d04905b1"},"schema_version":"1.0","source":{"id":"1301.4765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4765","created_at":"2026-05-18T03:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4765v1","created_at":"2026-05-18T03:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4765","created_at":"2026-05-18T03:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"ENGMZI4NRUWL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ENGMZI4NRUWLY464","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ENGMZI4N","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:cef02b1156a84b5cf03d1000a238ffffb0fed2a13582995d021b101be73f21ab","target":"graph","created_at":"2026-05-18T03:35:55Z","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":"In this letter, we analyze the ergodic capacity of bidirectional amplify-and-forward relay selection (RS) with imperfect channel state information (CSI), i.e., outdated CSI and imperfect channel estimation. Practically, the optimal RS scheme in maximizing the ergodic capacity cannot be achieved, due to the imperfect CSI. Therefore, two suboptimal RS schemes are discussed and analyzed, in which the first RS scheme is based on the imperfect channel coefficients, and the second RS scheme is based on the predicted channel coefficients. The lower bound of the ergodic capacity with imperfect CSI is ","authors_text":"Bingli Jiao, Hongyu Cui, Lingyang Song, Rongqing Zhang","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-01-21T06:37:19Z","title":"Capacity Analysis of Bidirectional AF Relay Selection with Imperfect Channel State Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4765","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":"sha256:1cf14c4d4ef272087ef439945c2233f7cfd5312e6654f85970d0d193628f702e","target":"record","created_at":"2026-05-18T03:35:55Z","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":"c465c8c4d5b133ba547122ec95f875d90e87174906e8019f35c3e93e819c6bae","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-01-21T06:37:19Z","title_canon_sha256":"31dad20c6fe148c51d3c21ede7b822f5e74e56372124012fa05e96b4d04905b1"},"schema_version":"1.0","source":{"id":"1301.4765","kind":"arxiv","version":1}},"canonical_sha256":"234ccca38d8d2cbc73dcbb535547743f1e3b0c4ab9103d8fff1ed2e9bf08001e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"234ccca38d8d2cbc73dcbb535547743f1e3b0c4ab9103d8fff1ed2e9bf08001e","first_computed_at":"2026-05-18T03:35:55.706586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:55.706586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/wbhXpTZ4/jfoP+cT0R/GN9DYqmXXdZgmUHD7DUxPPvH0uFeSVGH+Y4lgFp2q1ajZb+pASx1p3yUUQ3JQ+atCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:55.707286Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cf14c4d4ef272087ef439945c2233f7cfd5312e6654f85970d0d193628f702e","sha256:cef02b1156a84b5cf03d1000a238ffffb0fed2a13582995d021b101be73f21ab"],"state_sha256":"2ea5c116dbf2c5e9d1f5c64a319d3870e4f2f992812acbd21faf16476a5ac7d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3sNFz5qZQaVnsz2J3HHGKy2Vt9pgw66g2cC67fK07ZwFfnLNziDenF3Qiw2dZkvL+CCAls9uop/oqGqT/lxAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T14:00:19.975438Z","bundle_sha256":"6ecccc3c44c842732c61a762bd879aab747190f96f8b938372632b88865e5b78"}}