{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7SZDDYV6TVNDSDWALGZG6MMG77","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ef47929fc6a72ee431c3bd4ed6fbae2c486da2c5c9f5b1b76cb12b059e3d35a5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-20T01:20:38Z","title_canon_sha256":"e214e635d177ef53aa296e2081476f0be9fdac82f9e7128367991db7a9e91240"},"schema_version":"1.0","source":{"id":"1302.4785","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4785","created_at":"2026-05-18T03:33:11Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4785v1","created_at":"2026-05-18T03:33:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4785","created_at":"2026-05-18T03:33:11Z"},{"alias_kind":"pith_short_12","alias_value":"7SZDDYV6TVND","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7SZDDYV6TVNDSDWA","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7SZDDYV6","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:e4d3584bc48a6c80fd7c4d82ad8126dfdf1bf6560a9903cadd55e004b8c22c64","target":"graph","created_at":"2026-05-18T03:33:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this contribution, we consider a two-tiered network and focus on the coexistence between the two tiers at physical layer. We target our efforts on a long term evolution advanced (LTE-A) orthogonal frequency division multiple access (OFDMA) macro-cell sharing the spectrum with a randomly deployed second tier of small-cells. In such networks, high levels of co-channel interference between the macro and small base stations (MBS/SBS) may largely limit the potential spectral efficiency gains provided by the frequency reuse 1. To address this issue, we propose a novel cognitive interference align","authors_text":"Lorenzo Vangelista, Marco Maso, Merouane Debbah","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-20T01:20:38Z","title":"A Distributed Approach to Interference Alignment in OFDM-based Two-tiered Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4785","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2464f5cf6ddccaf254a2c6659fec571aefd2d83b4f71ecdb90663db7607e733a","target":"record","created_at":"2026-05-18T03:33:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ef47929fc6a72ee431c3bd4ed6fbae2c486da2c5c9f5b1b76cb12b059e3d35a5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-20T01:20:38Z","title_canon_sha256":"e214e635d177ef53aa296e2081476f0be9fdac82f9e7128367991db7a9e91240"},"schema_version":"1.0","source":{"id":"1302.4785","kind":"arxiv","version":1}},"canonical_sha256":"fcb231e2be9d5a390ec059b26f3186fffd91d6501f292f387404c2d78ac531dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcb231e2be9d5a390ec059b26f3186fffd91d6501f292f387404c2d78ac531dd","first_computed_at":"2026-05-18T03:33:11.044017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:11.044017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XoJv17IYC0N9NaQaWeYrlV6XTZ2z+th18y9uMvpEQG1/oHMFbhCUbvJVAAQGD0FuTSPeT4ZLg7HTIIpZHUb6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:11.044563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4785","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2464f5cf6ddccaf254a2c6659fec571aefd2d83b4f71ecdb90663db7607e733a","sha256:e4d3584bc48a6c80fd7c4d82ad8126dfdf1bf6560a9903cadd55e004b8c22c64"],"state_sha256":"a43804658413d27934ecb68bd0feb677f772e3e4d33103cbaea5fb2156cbbce4"}