{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LIVSJSW6NNPAFOYJ46V3WLJV2M","short_pith_number":"pith:LIVSJSW6","schema_version":"1.0","canonical_sha256":"5a2b24cade6b5e02bb09e7abbb2d35d31bb0b4c73cba9c50e9b221d47a93a8dc","source":{"kind":"arxiv","id":"1210.2182","version":1},"attestation_state":"computed","paper":{"title":"Approximate Ergodic Capacity of a Class of Fading 2-user 2-hop Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chien-Yi Wang, Michael Gastpar, Sang-Woon Jeon","submitted_at":"2012-10-08T08:27:17Z","abstract_excerpt":"We consider a fading AWGN 2-user 2-hop network where the channel coefficients are independent and identically distributed (i.i.d.) drawn from a continuous distribution and vary over time. For a broad class of channel distributions, we characterize the ergodic sum capacity to within a constant number of bits/sec/Hz, independent of signal-to-noise ratio. The achievability follows from the analysis of an interference neutralization scheme where the relays are partitioned into $M$ pairs, and interference is neutralized separately by each pair of relays. When $M=1$, the proposed ergodic interferenc"},"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":"1210.2182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-08T08:27:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"96e1da89b75797fd8b9988da274faf7c32ebad783924f5a70345769386eb1ffa","abstract_canon_sha256":"a91a3daecda68c58ab7f38c1ff5918a4fe44f5ac5d459dc1abc1a09befd0ce41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:04.763896Z","signature_b64":"isSC43U2NJIbHlzMGcNC1tAB31c9JXk6ldJY82JhZgdXWJo3nDyIxda66foIlXr3Oc3v9DhHm0pPCIk033esAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a2b24cade6b5e02bb09e7abbb2d35d31bb0b4c73cba9c50e9b221d47a93a8dc","last_reissued_at":"2026-05-18T00:59:04.763257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:04.763257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximate Ergodic Capacity of a Class of Fading 2-user 2-hop Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chien-Yi Wang, Michael Gastpar, Sang-Woon Jeon","submitted_at":"2012-10-08T08:27:17Z","abstract_excerpt":"We consider a fading AWGN 2-user 2-hop network where the channel coefficients are independent and identically distributed (i.i.d.) drawn from a continuous distribution and vary over time. For a broad class of channel distributions, we characterize the ergodic sum capacity to within a constant number of bits/sec/Hz, independent of signal-to-noise ratio. The achievability follows from the analysis of an interference neutralization scheme where the relays are partitioned into $M$ pairs, and interference is neutralized separately by each pair of relays. When $M=1$, the proposed ergodic interferenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2182","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":"1210.2182","created_at":"2026-05-18T00:59:04.763341+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.2182v1","created_at":"2026-05-18T00:59:04.763341+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2182","created_at":"2026-05-18T00:59:04.763341+00:00"},{"alias_kind":"pith_short_12","alias_value":"LIVSJSW6NNPA","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LIVSJSW6NNPAFOYJ","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LIVSJSW6","created_at":"2026-05-18T12:27:14.488303+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/LIVSJSW6NNPAFOYJ46V3WLJV2M","json":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M.json","graph_json":"https://pith.science/api/pith-number/LIVSJSW6NNPAFOYJ46V3WLJV2M/graph.json","events_json":"https://pith.science/api/pith-number/LIVSJSW6NNPAFOYJ46V3WLJV2M/events.json","paper":"https://pith.science/paper/LIVSJSW6"},"agent_actions":{"view_html":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M","download_json":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M.json","view_paper":"https://pith.science/paper/LIVSJSW6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.2182&json=true","fetch_graph":"https://pith.science/api/pith-number/LIVSJSW6NNPAFOYJ46V3WLJV2M/graph.json","fetch_events":"https://pith.science/api/pith-number/LIVSJSW6NNPAFOYJ46V3WLJV2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M/action/storage_attestation","attest_author":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M/action/author_attestation","sign_citation":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M/action/citation_signature","submit_replication":"https://pith.science/pith/LIVSJSW6NNPAFOYJ46V3WLJV2M/action/replication_record"}},"created_at":"2026-05-18T00:59:04.763341+00:00","updated_at":"2026-05-18T00:59:04.763341+00:00"}