{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RX7HYJF5YSCP4CUW7YB3GO3OTA","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":"b924b8a86499e118d59884c9e3b1606a927b99c17467441ab8a6e1414da441f2","cross_cats_sorted":["eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-08-09T08:04:48Z","title_canon_sha256":"3767fcb521253f385d6c2fbc4347488408c29a29e7914d81fdc88c644e81cc3d"},"schema_version":"1.0","source":{"id":"1808.03050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03050","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03050v1","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03050","created_at":"2026-05-18T00:08:30Z"},{"alias_kind":"pith_short_12","alias_value":"RX7HYJF5YSCP","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RX7HYJF5YSCP4CUW","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RX7HYJF5","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:45fe8380923d4824815a62aa35bad73502a3a5f6982cb78e02f4137ea930d53b","target":"graph","created_at":"2026-05-18T00:08:30Z","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":"We formulate and solve the energy minimization problem for a clustered device-to-device (D2D) network with cache-enabled mobile devices. Devices are distributed according to a Poisson cluster process (PCP) and are assumed to have a surplus memory which is exploited to proactively cache files from a library. Devices can retrieve the requested files from their caches, from neighboring devices in their proximity (cluster), or from the base station as a last resort. We minimize the energy consumption of the proposed network under a random prob- abilistic caching scheme, where files are independent","authors_text":"Hesham ElSawy, Jacek Kibi{\\l}da, Mehdi Bennis, M. Majid Butt, Nicola Marchetti, Ramy Amer","cross_cats":["eess.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-08-09T08:04:48Z","title":"On Minimizing Energy Consumption for D2D Clustered Caching Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03050","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":"sha256:7bc81eadffbc43a36ce209b121691ddd993bd45d769d35b40fd5d50a3167615f","target":"record","created_at":"2026-05-18T00:08:30Z","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":"b924b8a86499e118d59884c9e3b1606a927b99c17467441ab8a6e1414da441f2","cross_cats_sorted":["eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-08-09T08:04:48Z","title_canon_sha256":"3767fcb521253f385d6c2fbc4347488408c29a29e7914d81fdc88c644e81cc3d"},"schema_version":"1.0","source":{"id":"1808.03050","kind":"arxiv","version":1}},"canonical_sha256":"8dfe7c24bdc484fe0a96fe03b33b6e9830288ccf482328158986e0bd5f21bc42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dfe7c24bdc484fe0a96fe03b33b6e9830288ccf482328158986e0bd5f21bc42","first_computed_at":"2026-05-18T00:08:30.331185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:30.331185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vN1xDCFyTBp9GXPQPCiCt1z/k0oFekRpDvL8v532+xCEw0mDtEIL/IOf4HJMsNBBWjaXrAx7ZmISxQKyJC6mCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:30.331686Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bc81eadffbc43a36ce209b121691ddd993bd45d769d35b40fd5d50a3167615f","sha256:45fe8380923d4824815a62aa35bad73502a3a5f6982cb78e02f4137ea930d53b"],"state_sha256":"d827f05c3597f94379e2604ac55198471d105be188c34f638187adccf9f3d75a"}