{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VRHBG26URT5STUFLVHFAYQVAOB","short_pith_number":"pith:VRHBG26U","canonical_record":{"source":{"id":"0911.2952","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-11-16T05:09:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bd02188ada59a4d93dcabb2fcbff8b31f9a2cc9b6ddd4e664b333eef815d8508","abstract_canon_sha256":"1ba26151b9f09e80fbcc44f1ca996065f95b7f0d1123d0755ce2e4a143f9d622"},"schema_version":"1.0"},"canonical_sha256":"ac4e136bd48cfb29d0aba9ca0c42a07076d190bdc6854c6e56052f8ab6b5b8bc","source":{"kind":"arxiv","id":"0911.2952","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2952","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2952v2","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2952","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"VRHBG26URT5S","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VRHBG26URT5STUFL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VRHBG26U","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VRHBG26URT5STUFLVHFAYQVAOB","target":"record","payload":{"canonical_record":{"source":{"id":"0911.2952","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-11-16T05:09:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bd02188ada59a4d93dcabb2fcbff8b31f9a2cc9b6ddd4e664b333eef815d8508","abstract_canon_sha256":"1ba26151b9f09e80fbcc44f1ca996065f95b7f0d1123d0755ce2e4a143f9d622"},"schema_version":"1.0"},"canonical_sha256":"ac4e136bd48cfb29d0aba9ca0c42a07076d190bdc6854c6e56052f8ab6b5b8bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:18.362806Z","signature_b64":"KdfOnfuAWIuobNWf6ikMTtzmdRsG7uTVdMLrWLvQ4TYRpGendmofZb019OJFZXNVRmnnS+mV1MhHaplZ9tTACw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac4e136bd48cfb29d0aba9ca0c42a07076d190bdc6854c6e56052f8ab6b5b8bc","last_reissued_at":"2026-05-18T04:39:18.362149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:18.362149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.2952","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vs0AHRXLbYfeDAGLkeFrJvykKbx1cfh1nAVpvtcRXWG9M0dP5tLiaUrukQ164luZtCP3Ub8dELyeH9hW4fPzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:27:20.526634Z"},"content_sha256":"654813ff6ea5f958c1f482fff81a1d22f6875d8b0b6f7f73c45413e00776b7e6","schema_version":"1.0","event_id":"sha256:654813ff6ea5f958c1f482fff81a1d22f6875d8b0b6f7f73c45413e00776b7e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VRHBG26URT5STUFLVHFAYQVAOB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cooperative Feedback for Multi-Antenna Cognitive Radio Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kaibin Huang, Rui Zhang","submitted_at":"2009-11-16T05:09:40Z","abstract_excerpt":"Cognitive beamforming (CB) is a multi-antenna technique for efficient spectrum sharing between primary users (PUs) and secondary users (SUs) in a cognitive radio network. Specifically, a multi-antenna SU transmitter applies CB to suppress the interference to the PU receivers as well as enhance the corresponding SU-link performance. In this paper, for a multiple-input-single-output (MISO) SU channel coexisting with a single-input-single-output (SISO) PU channel, we propose a new and practical paradigm for designing CB based on the finite-rate cooperative feedback from the PU receiver to the SU "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2952","kind":"arxiv","version":2},"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":"2026-05-18T04:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZeZfNq8HFcU9tT4nPSt1Yau1kdlJya44YnCxebNP++9ebTlw0B5YIMDfpamHskLSHPzBLvHAlrCezM1vVRoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:27:20.526981Z"},"content_sha256":"ae3d72969f0748ab78e3a01c032caf1bbf5bde976d24c0a371e9b28ed72409ee","schema_version":"1.0","event_id":"sha256:ae3d72969f0748ab78e3a01c032caf1bbf5bde976d24c0a371e9b28ed72409ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VRHBG26URT5STUFLVHFAYQVAOB/bundle.json","state_url":"https://pith.science/pith/VRHBG26URT5STUFLVHFAYQVAOB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VRHBG26URT5STUFLVHFAYQVAOB/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":"2026-05-28T09:27:20Z","links":{"resolver":"https://pith.science/pith/VRHBG26URT5STUFLVHFAYQVAOB","bundle":"https://pith.science/pith/VRHBG26URT5STUFLVHFAYQVAOB/bundle.json","state":"https://pith.science/pith/VRHBG26URT5STUFLVHFAYQVAOB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VRHBG26URT5STUFLVHFAYQVAOB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VRHBG26URT5STUFLVHFAYQVAOB","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":"1ba26151b9f09e80fbcc44f1ca996065f95b7f0d1123d0755ce2e4a143f9d622","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-11-16T05:09:40Z","title_canon_sha256":"bd02188ada59a4d93dcabb2fcbff8b31f9a2cc9b6ddd4e664b333eef815d8508"},"schema_version":"1.0","source":{"id":"0911.2952","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2952","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2952v2","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2952","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"VRHBG26URT5S","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VRHBG26URT5STUFL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VRHBG26U","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:ae3d72969f0748ab78e3a01c032caf1bbf5bde976d24c0a371e9b28ed72409ee","target":"graph","created_at":"2026-05-18T04:39:18Z","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":"Cognitive beamforming (CB) is a multi-antenna technique for efficient spectrum sharing between primary users (PUs) and secondary users (SUs) in a cognitive radio network. Specifically, a multi-antenna SU transmitter applies CB to suppress the interference to the PU receivers as well as enhance the corresponding SU-link performance. In this paper, for a multiple-input-single-output (MISO) SU channel coexisting with a single-input-single-output (SISO) PU channel, we propose a new and practical paradigm for designing CB based on the finite-rate cooperative feedback from the PU receiver to the SU ","authors_text":"Kaibin Huang, Rui Zhang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-11-16T05:09:40Z","title":"Cooperative Feedback for Multi-Antenna Cognitive Radio Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2952","kind":"arxiv","version":2},"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":"sha256:654813ff6ea5f958c1f482fff81a1d22f6875d8b0b6f7f73c45413e00776b7e6","target":"record","created_at":"2026-05-18T04:39:18Z","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":"1ba26151b9f09e80fbcc44f1ca996065f95b7f0d1123d0755ce2e4a143f9d622","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-11-16T05:09:40Z","title_canon_sha256":"bd02188ada59a4d93dcabb2fcbff8b31f9a2cc9b6ddd4e664b333eef815d8508"},"schema_version":"1.0","source":{"id":"0911.2952","kind":"arxiv","version":2}},"canonical_sha256":"ac4e136bd48cfb29d0aba9ca0c42a07076d190bdc6854c6e56052f8ab6b5b8bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac4e136bd48cfb29d0aba9ca0c42a07076d190bdc6854c6e56052f8ab6b5b8bc","first_computed_at":"2026-05-18T04:39:18.362149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:18.362149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KdfOnfuAWIuobNWf6ikMTtzmdRsG7uTVdMLrWLvQ4TYRpGendmofZb019OJFZXNVRmnnS+mV1MhHaplZ9tTACw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:18.362806Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.2952","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:654813ff6ea5f958c1f482fff81a1d22f6875d8b0b6f7f73c45413e00776b7e6","sha256:ae3d72969f0748ab78e3a01c032caf1bbf5bde976d24c0a371e9b28ed72409ee"],"state_sha256":"769771b125547635ee0e682b9c862aeeeab4e239642290fffc7db1e1cc0e84f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YfDuuX84+CIXxOSmVpsHJetHMMKvC88apPdyZXOlXCZtwIHq2mYeq6ic7nyLx1G1yHImwM2SIHik5AZzX0acAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:27:20.528982Z","bundle_sha256":"2cf6811f5ec43b9f507c103c08c29387ff9a4bea2c82676a8406d149c1095f81"}}