{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:CUZ2T5XFJVJ4MHZ6EWGTZHEQC2","short_pith_number":"pith:CUZ2T5XF","schema_version":"1.0","canonical_sha256":"1533a9f6e54d53c61f3e258d3c9c9016b75663b13825e207ff39fcabadc07574","source":{"kind":"arxiv","id":"1207.6540","version":1},"attestation_state":"computed","paper":{"title":"Achieving Net Feedback Gain in the Butterfly Network with a Full-Duplex Bidirectional Relay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anas Chaaban, Aydin Sezgin, Daniela Tuninetti","submitted_at":"2012-07-27T13:36:28Z","abstract_excerpt":"A symmetric butterfly network (BFN) with a full-duplex relay operating in a bi-directional fashion for feedback is considered. This network is relevant for a variety of wireless networks, including cellular systems dealing with cell-edge users. Upper bounds on the capacity region of the general memoryless BFN with feedback are derived based on cut-set and cooperation arguments and then specialized to the linear deterministic BFN with really-source feedback. It is shown that the upper bounds are achievable using combinations of the compute-forward strategy and the classical decode-and-forward s"},"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":"1207.6540","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-27T13:36:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"528d247990bb61e645d2dd31b24820a7b9d9eb0e4c7e823f58978f4e8bfa41f9","abstract_canon_sha256":"822d2082f2df04fa77275fb00de9dcf375c31b7db8952bb781f6f3b078b6302a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:59.099223Z","signature_b64":"RD3p9J40tkWnaJDMFdrHP/fhRaEnnV4GoYYEeMU7FDSQtEzTs0HMkuA2uEnetUlilW0JqeIZhCQW/RMLxaegAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1533a9f6e54d53c61f3e258d3c9c9016b75663b13825e207ff39fcabadc07574","last_reissued_at":"2026-05-18T03:49:59.098809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:59.098809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Achieving Net Feedback Gain in the Butterfly Network with a Full-Duplex Bidirectional Relay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anas Chaaban, Aydin Sezgin, Daniela Tuninetti","submitted_at":"2012-07-27T13:36:28Z","abstract_excerpt":"A symmetric butterfly network (BFN) with a full-duplex relay operating in a bi-directional fashion for feedback is considered. This network is relevant for a variety of wireless networks, including cellular systems dealing with cell-edge users. Upper bounds on the capacity region of the general memoryless BFN with feedback are derived based on cut-set and cooperation arguments and then specialized to the linear deterministic BFN with really-source feedback. It is shown that the upper bounds are achievable using combinations of the compute-forward strategy and the classical decode-and-forward s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6540","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.6540","created_at":"2026-05-18T03:49:59.098871+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.6540v1","created_at":"2026-05-18T03:49:59.098871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6540","created_at":"2026-05-18T03:49:59.098871+00:00"},{"alias_kind":"pith_short_12","alias_value":"CUZ2T5XFJVJ4","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"CUZ2T5XFJVJ4MHZ6","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"CUZ2T5XF","created_at":"2026-05-18T12:27:01.376967+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/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2","json":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2.json","graph_json":"https://pith.science/api/pith-number/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/graph.json","events_json":"https://pith.science/api/pith-number/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/events.json","paper":"https://pith.science/paper/CUZ2T5XF"},"agent_actions":{"view_html":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2","download_json":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2.json","view_paper":"https://pith.science/paper/CUZ2T5XF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.6540&json=true","fetch_graph":"https://pith.science/api/pith-number/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/graph.json","fetch_events":"https://pith.science/api/pith-number/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/action/storage_attestation","attest_author":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/action/author_attestation","sign_citation":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/action/citation_signature","submit_replication":"https://pith.science/pith/CUZ2T5XFJVJ4MHZ6EWGTZHEQC2/action/replication_record"}},"created_at":"2026-05-18T03:49:59.098871+00:00","updated_at":"2026-05-18T03:49:59.098871+00:00"}