{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XNM375KFVR2WKODXWWSJ7LCSPH","short_pith_number":"pith:XNM375KF","schema_version":"1.0","canonical_sha256":"bb59bff545ac75653877b5a49fac5279eab98a74632fbf99401a6002d8316439","source":{"kind":"arxiv","id":"1704.05916","version":1},"attestation_state":"computed","paper":{"title":"Piggybacking Codes for Network Coding: The High/Low SNR Regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Samah A. M. Ghanem","submitted_at":"2017-04-19T19:57:32Z","abstract_excerpt":"We propose a piggybacking scheme for network coding where strong source inputs piggyback the weaker ones, a scheme necessary and sufficient to achieve the cut-set upper bound at high/low-snr regime, a new asymptotically optimal operational regime for the multihop Amplify and Forward (AF) networks."},"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":"1704.05916","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-19T19:57:32Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ea61306d82fdb198abeac73ecc9b62c004143b107baccea462668ede2199b242","abstract_canon_sha256":"72d7751ecfa3d34176c3f67653284d948122f249199b8c70a9556bd882cb4bd2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:03.769745Z","signature_b64":"BYqg8Ok4sHOZd6ChNI4ThF/6WfpPWD93Vfa2dBA89AB/CsAAMpnTlpOzk5fVoSotSONNpWUl2U8Mc9xXDRBmAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb59bff545ac75653877b5a49fac5279eab98a74632fbf99401a6002d8316439","last_reissued_at":"2026-05-18T00:46:03.769276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:03.769276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Piggybacking Codes for Network Coding: The High/Low SNR Regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Samah A. M. Ghanem","submitted_at":"2017-04-19T19:57:32Z","abstract_excerpt":"We propose a piggybacking scheme for network coding where strong source inputs piggyback the weaker ones, a scheme necessary and sufficient to achieve the cut-set upper bound at high/low-snr regime, a new asymptotically optimal operational regime for the multihop Amplify and Forward (AF) networks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05916","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":"1704.05916","created_at":"2026-05-18T00:46:03.769368+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.05916v1","created_at":"2026-05-18T00:46:03.769368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05916","created_at":"2026-05-18T00:46:03.769368+00:00"},{"alias_kind":"pith_short_12","alias_value":"XNM375KFVR2W","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XNM375KFVR2WKODX","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XNM375KF","created_at":"2026-05-18T12:31:56.362134+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/XNM375KFVR2WKODXWWSJ7LCSPH","json":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH.json","graph_json":"https://pith.science/api/pith-number/XNM375KFVR2WKODXWWSJ7LCSPH/graph.json","events_json":"https://pith.science/api/pith-number/XNM375KFVR2WKODXWWSJ7LCSPH/events.json","paper":"https://pith.science/paper/XNM375KF"},"agent_actions":{"view_html":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH","download_json":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH.json","view_paper":"https://pith.science/paper/XNM375KF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.05916&json=true","fetch_graph":"https://pith.science/api/pith-number/XNM375KFVR2WKODXWWSJ7LCSPH/graph.json","fetch_events":"https://pith.science/api/pith-number/XNM375KFVR2WKODXWWSJ7LCSPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH/action/storage_attestation","attest_author":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH/action/author_attestation","sign_citation":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH/action/citation_signature","submit_replication":"https://pith.science/pith/XNM375KFVR2WKODXWWSJ7LCSPH/action/replication_record"}},"created_at":"2026-05-18T00:46:03.769368+00:00","updated_at":"2026-05-18T00:46:03.769368+00:00"}