{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:POJED4IXNJ2HRPL5AF3Q63JC2Q","short_pith_number":"pith:POJED4IX","canonical_record":{"source":{"id":"0806.3023","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2008-06-18T15:56:19Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"d1dffdb923418e8f25a30ac88fa7318e7144e89ff1a6ac3a8b06f3718f50ee09","abstract_canon_sha256":"438d5948cedc93bd12ade35d29dd3410889411abae8648076cf18b3586cf6a4e"},"schema_version":"1.0"},"canonical_sha256":"7b9241f1176a7478bd7d01770f6d22d41e2ada7811448722e9fe9ec5c47c7493","source":{"kind":"arxiv","id":"0806.3023","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.3023","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"0806.3023v3","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3023","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"POJED4IXNJ2H","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_16","alias_value":"POJED4IXNJ2HRPL5","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_8","alias_value":"POJED4IX","created_at":"2026-07-04T17:31:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:POJED4IXNJ2HRPL5AF3Q63JC2Q","target":"record","payload":{"canonical_record":{"source":{"id":"0806.3023","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2008-06-18T15:56:19Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"d1dffdb923418e8f25a30ac88fa7318e7144e89ff1a6ac3a8b06f3718f50ee09","abstract_canon_sha256":"438d5948cedc93bd12ade35d29dd3410889411abae8648076cf18b3586cf6a4e"},"schema_version":"1.0"},"canonical_sha256":"7b9241f1176a7478bd7d01770f6d22d41e2ada7811448722e9fe9ec5c47c7493","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:31:36.143942Z","signature_b64":"AT49zpGPkfXblvlUwb0GT0G9Rmvo269BVrh5Chcza+NCSJUF41WhbTJ+w5HLK+YHVzW0jvmjfKm4hGRZNOFqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b9241f1176a7478bd7d01770f6d22d41e2ada7811448722e9fe9ec5c47c7493","last_reissued_at":"2026-07-04T17:31:36.143497Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:31:36.143497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.3023","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":"2026-07-04T17:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"No8xnSecdz1mLBiJPy9Zq4wqAoO/UdQbgBUEaYxj4D+U9i/G38KI+OKOI0Gn5QZNO6OFe99h9V1/nQp0u9h2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T04:28:22.437545Z"},"content_sha256":"4a43a5a53bb23100fa7c2c121fd80c0a0e3d66a3c78a2ab096582ffc85e119f0","schema_version":"1.0","event_id":"sha256:4a43a5a53bb23100fa7c2c121fd80c0a0e3d66a3c78a2ab096582ffc85e119f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:POJED4IXNJ2HRPL5AF3Q63JC2Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Random Search Framework for Convergence Analysis of Distributed Beamforming with Feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.DC","authors_text":"C. Lin, S. Meyn, V. V. Veeravalli","submitted_at":"2008-06-18T15:56:19Z","abstract_excerpt":"The focus of this work is on the analysis of transmit beamforming schemes with a low-rate feedback link in wireless sensor/relay networks, where nodes in the network need to implement beamforming in a distributed manner. Specifically, the problem of distributed phase alignment is considered, where neither the transmitters nor the receiver has perfect channel state information, but there is a low-rate feedback link from the receiver to the transmitters. In this setting, a framework is proposed for systematically analyzing the performance of distributed beamforming schemes. To illustrate the adv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3023","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0806.3023/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ee81XfgGDELiZDWc5+5aTnUJWXC2NekLJS1xkyZzy2279WZwXbC4OSImxjJzhGyYXEkQs7VPkm49fWV3bKbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T04:28:22.437910Z"},"content_sha256":"86e500dd21388078d9224051c3a27d519407d0f523858f41e631ebf714a52b38","schema_version":"1.0","event_id":"sha256:86e500dd21388078d9224051c3a27d519407d0f523858f41e631ebf714a52b38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q/bundle.json","state_url":"https://pith.science/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q/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":"2026-07-07T04:28:22Z","links":{"resolver":"https://pith.science/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q","bundle":"https://pith.science/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q/bundle.json","state":"https://pith.science/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/POJED4IXNJ2HRPL5AF3Q63JC2Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:POJED4IXNJ2HRPL5AF3Q63JC2Q","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":"438d5948cedc93bd12ade35d29dd3410889411abae8648076cf18b3586cf6a4e","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2008-06-18T15:56:19Z","title_canon_sha256":"d1dffdb923418e8f25a30ac88fa7318e7144e89ff1a6ac3a8b06f3718f50ee09"},"schema_version":"1.0","source":{"id":"0806.3023","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.3023","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"0806.3023v3","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3023","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"POJED4IXNJ2H","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_16","alias_value":"POJED4IXNJ2HRPL5","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_8","alias_value":"POJED4IX","created_at":"2026-07-04T17:31:36Z"}],"graph_snapshots":[{"event_id":"sha256:86e500dd21388078d9224051c3a27d519407d0f523858f41e631ebf714a52b38","target":"graph","created_at":"2026-07-04T17:31:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0806.3023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The focus of this work is on the analysis of transmit beamforming schemes with a low-rate feedback link in wireless sensor/relay networks, where nodes in the network need to implement beamforming in a distributed manner. Specifically, the problem of distributed phase alignment is considered, where neither the transmitters nor the receiver has perfect channel state information, but there is a low-rate feedback link from the receiver to the transmitters. In this setting, a framework is proposed for systematically analyzing the performance of distributed beamforming schemes. To illustrate the adv","authors_text":"C. Lin, S. Meyn, V. V. Veeravalli","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2008-06-18T15:56:19Z","title":"A Random Search Framework for Convergence Analysis of Distributed Beamforming with Feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3023","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":"sha256:4a43a5a53bb23100fa7c2c121fd80c0a0e3d66a3c78a2ab096582ffc85e119f0","target":"record","created_at":"2026-07-04T17:31:36Z","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":"438d5948cedc93bd12ade35d29dd3410889411abae8648076cf18b3586cf6a4e","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2008-06-18T15:56:19Z","title_canon_sha256":"d1dffdb923418e8f25a30ac88fa7318e7144e89ff1a6ac3a8b06f3718f50ee09"},"schema_version":"1.0","source":{"id":"0806.3023","kind":"arxiv","version":3}},"canonical_sha256":"7b9241f1176a7478bd7d01770f6d22d41e2ada7811448722e9fe9ec5c47c7493","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b9241f1176a7478bd7d01770f6d22d41e2ada7811448722e9fe9ec5c47c7493","first_computed_at":"2026-07-04T17:31:36.143497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:31:36.143497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AT49zpGPkfXblvlUwb0GT0G9Rmvo269BVrh5Chcza+NCSJUF41WhbTJ+w5HLK+YHVzW0jvmjfKm4hGRZNOFqBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:31:36.143942Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.3023","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a43a5a53bb23100fa7c2c121fd80c0a0e3d66a3c78a2ab096582ffc85e119f0","sha256:86e500dd21388078d9224051c3a27d519407d0f523858f41e631ebf714a52b38"],"state_sha256":"90bc3858f727826bbbd7b3571c069f21b2c6cde8de41347ea4e9c55a4f402195"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMGZagn2eBpMp8DUvLG9WHjdyYhTZ+5G/YOzYkzacG9fw2S6Y2dZUL1eKozpCQam6v06GX+ZOxWnseRumSMxAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T04:28:22.439795Z","bundle_sha256":"37a1f6c9597ac5264f3c6d5446b194805ccc8c168ed7077c4958788cfa9821bb"}}