{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XCDG4NZUXGFPRXXSJRA2BN2T7T","short_pith_number":"pith:XCDG4NZU","schema_version":"1.0","canonical_sha256":"b8866e3734b98af8def24c41a0b753fce4dcefbc1645fbf9a11b62b3cf0ab871","source":{"kind":"arxiv","id":"1109.4599","version":2},"attestation_state":"computed","paper":{"title":"On the Diversity Order and Coding Gain of Multi-Source Multi-Relay Cooperative Wireless Networks with Binary Network Coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Fabio Graziosi, Marco Di Renzo, Michela Iezzi","submitted_at":"2011-09-21T18:01:31Z","abstract_excerpt":"In this paper, a multi-source multi-relay cooperative wireless network with binary modulation and binary network coding is studied. The system model encompasses: i) a demodulate-and-forward protocol at the relays, where the received packets are forwarded regardless of their reliability; and ii) a maximum-likelihood optimum demodulator at the destination, which accounts for possible demodulations errors at the relays. An asymptotically-tight and closed-form expression of the end-to-end error probability is derived, which clearly showcases diversity order and coding gain of each source. Unlike o"},"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":"1109.4599","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-21T18:01:31Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"df1979bc5e3f7ac6fbb58aa8dcbccf86cb8ad2d59111a35ae5f91ac1812aa75d","abstract_canon_sha256":"96db95a9432dd1470590ec77447f619c28018bc9fe5b1775544d53702235fb51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:24.882649Z","signature_b64":"hTynBtZPKtCfvnmfyqEz1OMUAINoH4vB1bahqgjSVj3kXMYcSacS+dcCXpeFZzAA1lMLBFAHhNxpbeoAidL6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8866e3734b98af8def24c41a0b753fce4dcefbc1645fbf9a11b62b3cf0ab871","last_reissued_at":"2026-05-18T03:57:24.881934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:24.881934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Diversity Order and Coding Gain of Multi-Source Multi-Relay Cooperative Wireless Networks with Binary Network Coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Fabio Graziosi, Marco Di Renzo, Michela Iezzi","submitted_at":"2011-09-21T18:01:31Z","abstract_excerpt":"In this paper, a multi-source multi-relay cooperative wireless network with binary modulation and binary network coding is studied. The system model encompasses: i) a demodulate-and-forward protocol at the relays, where the received packets are forwarded regardless of their reliability; and ii) a maximum-likelihood optimum demodulator at the destination, which accounts for possible demodulations errors at the relays. An asymptotically-tight and closed-form expression of the end-to-end error probability is derived, which clearly showcases diversity order and coding gain of each source. Unlike o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4599","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":"1109.4599","created_at":"2026-05-18T03:57:24.882073+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.4599v2","created_at":"2026-05-18T03:57:24.882073+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4599","created_at":"2026-05-18T03:57:24.882073+00:00"},{"alias_kind":"pith_short_12","alias_value":"XCDG4NZUXGFP","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"XCDG4NZUXGFPRXXS","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"XCDG4NZU","created_at":"2026-05-18T12:26:44.992195+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/XCDG4NZUXGFPRXXSJRA2BN2T7T","json":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T.json","graph_json":"https://pith.science/api/pith-number/XCDG4NZUXGFPRXXSJRA2BN2T7T/graph.json","events_json":"https://pith.science/api/pith-number/XCDG4NZUXGFPRXXSJRA2BN2T7T/events.json","paper":"https://pith.science/paper/XCDG4NZU"},"agent_actions":{"view_html":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T","download_json":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T.json","view_paper":"https://pith.science/paper/XCDG4NZU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.4599&json=true","fetch_graph":"https://pith.science/api/pith-number/XCDG4NZUXGFPRXXSJRA2BN2T7T/graph.json","fetch_events":"https://pith.science/api/pith-number/XCDG4NZUXGFPRXXSJRA2BN2T7T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T/action/storage_attestation","attest_author":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T/action/author_attestation","sign_citation":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T/action/citation_signature","submit_replication":"https://pith.science/pith/XCDG4NZUXGFPRXXSJRA2BN2T7T/action/replication_record"}},"created_at":"2026-05-18T03:57:24.882073+00:00","updated_at":"2026-05-18T03:57:24.882073+00:00"}