{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:R5HYDTJU6PFOL4ITGYSBFLS2MI","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":"dfeaa7f7287bd9d5014b5eac2562eb54548e445b26cc28ddd0c909201d4a0ff6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-03-02T18:26:31Z","title_canon_sha256":"fc289957a0af6ad0607497b28720857d356855855d191bab8b384eadf1a13eea"},"schema_version":"1.0","source":{"id":"1803.00983","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00983","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00983v1","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00983","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"R5HYDTJU6PFO","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R5HYDTJU6PFOL4IT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R5HYDTJU","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:676bf94a012851e0b3c0be582c777faec17b556d279ea0acaca55c9b55ad9c1d","target":"graph","created_at":"2026-05-18T00:22:07Z","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":"Device-to-Device (D2D) communications underlaying cellular networks is a viable network technology that can potentially increase spectral utilization and improve power efficiency for proximitybased wireless applications and services. However, a major challenge in such deployment scenarios is the interference caused by D2D links when sharing the same resources with cellular users. In this work, we propose a channel allocation (CA) scheme together with a set of three power control (PC) schemes to mitigate interference in a D2D underlaid cellular system modeled as a random network using the mathe","authors_text":"Ali Chehab, Asmaa Abdallah, Mohammad M. Mansour","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-03-02T18:26:31Z","title":"Power Control and Channel Allocation for D2D Underlaid Cellular Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00983","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":"sha256:39c90e2457ffa13e66acc6e08dccfdab174fa3cf0a107f7da5c6e61f6a7c9458","target":"record","created_at":"2026-05-18T00:22:07Z","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":"dfeaa7f7287bd9d5014b5eac2562eb54548e445b26cc28ddd0c909201d4a0ff6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-03-02T18:26:31Z","title_canon_sha256":"fc289957a0af6ad0607497b28720857d356855855d191bab8b384eadf1a13eea"},"schema_version":"1.0","source":{"id":"1803.00983","kind":"arxiv","version":1}},"canonical_sha256":"8f4f81cd34f3cae5f113362412ae5a622d0c7eb00c5be475230e229c26ab25fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f4f81cd34f3cae5f113362412ae5a622d0c7eb00c5be475230e229c26ab25fc","first_computed_at":"2026-05-18T00:22:07.317450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:07.317450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tNmTyK4aHdDqZ65URljhhcr2JJyYVgoNRxFeBPfg+nwbn6MDsPTtVhHshBalqWn9OOEkc7EGCPzdgSMVVpYTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:07.318273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00983","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39c90e2457ffa13e66acc6e08dccfdab174fa3cf0a107f7da5c6e61f6a7c9458","sha256:676bf94a012851e0b3c0be582c777faec17b556d279ea0acaca55c9b55ad9c1d"],"state_sha256":"5e28bf64b637bca3e4d23bc79b88c65704506d9d582bf5501c369b409fac4a0f"}