{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FX4JHRREE7TB4IG63DW2SMB6XH","short_pith_number":"pith:FX4JHRRE","schema_version":"1.0","canonical_sha256":"2df893c62427e61e20ded8eda9303eb9deccf8fa90179f03a8eaf8fd5c3b1b91","source":{"kind":"arxiv","id":"1102.4126","version":2},"attestation_state":"computed","paper":{"title":"Multiuser Cognitive Radio Networks: An Information Theoretic Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chandra R. Murthy, K. G. Nagananda, Parthajit Mohapatra, Shalinee Kishore","submitted_at":"2011-02-21T03:21:56Z","abstract_excerpt":"Achievable rate regions and outer bounds are derived for three-user interference channels where the transmitters cooperate in a unidirectional manner via a noncausal message-sharing mechanism. The three-user channel facilitates different ways of message-sharing between the primary and secondary (or cognitive) transmitters. Three natural extensions of unidirectional message-sharing from two users to three users are introduced: (i) Cumulative message sharing; (ii) primary-only message sharing; and (iii) cognitive-only message sharing. To emphasize the notion of interference management, channels "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1102.4126","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-21T03:21:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e1dacd50f7442816db4333ce49b99b99bc07b8ffdabacb72e3c1542e62bd0982","abstract_canon_sha256":"0864199f76bc3f90ee7fce8ff3eeb6268524ebd287044e538660a7e3e44fb40f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:19.077093Z","signature_b64":"iZcnkSvL5Peb3uVf4qQ0hck3BoFvmfQR/yZ1SVeKtQVGZl3cUJPVDF3GIQxApwRHEwmWRrvh+vsLVChr8OnPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2df893c62427e61e20ded8eda9303eb9deccf8fa90179f03a8eaf8fd5c3b1b91","last_reissued_at":"2026-05-18T00:58:19.076394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:19.076394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiuser Cognitive Radio Networks: An Information Theoretic Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chandra R. Murthy, K. G. Nagananda, Parthajit Mohapatra, Shalinee Kishore","submitted_at":"2011-02-21T03:21:56Z","abstract_excerpt":"Achievable rate regions and outer bounds are derived for three-user interference channels where the transmitters cooperate in a unidirectional manner via a noncausal message-sharing mechanism. The three-user channel facilitates different ways of message-sharing between the primary and secondary (or cognitive) transmitters. Three natural extensions of unidirectional message-sharing from two users to three users are introduced: (i) Cumulative message sharing; (ii) primary-only message sharing; and (iii) cognitive-only message sharing. To emphasize the notion of interference management, channels "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4126","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1102.4126","created_at":"2026-05-18T00:58:19.076520+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4126v2","created_at":"2026-05-18T00:58:19.076520+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4126","created_at":"2026-05-18T00:58:19.076520+00:00"},{"alias_kind":"pith_short_12","alias_value":"FX4JHRREE7TB","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FX4JHRREE7TB4IG6","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FX4JHRRE","created_at":"2026-05-18T12:26:28.662955+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH","json":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH.json","graph_json":"https://pith.science/api/pith-number/FX4JHRREE7TB4IG63DW2SMB6XH/graph.json","events_json":"https://pith.science/api/pith-number/FX4JHRREE7TB4IG63DW2SMB6XH/events.json","paper":"https://pith.science/paper/FX4JHRRE"},"agent_actions":{"view_html":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH","download_json":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH.json","view_paper":"https://pith.science/paper/FX4JHRRE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4126&json=true","fetch_graph":"https://pith.science/api/pith-number/FX4JHRREE7TB4IG63DW2SMB6XH/graph.json","fetch_events":"https://pith.science/api/pith-number/FX4JHRREE7TB4IG63DW2SMB6XH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH/action/storage_attestation","attest_author":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH/action/author_attestation","sign_citation":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH/action/citation_signature","submit_replication":"https://pith.science/pith/FX4JHRREE7TB4IG63DW2SMB6XH/action/replication_record"}},"created_at":"2026-05-18T00:58:19.076520+00:00","updated_at":"2026-05-18T00:58:19.076520+00:00"}