{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2E4MS6WAVQHXKJXQD475ZRMZYJ","short_pith_number":"pith:2E4MS6WA","canonical_record":{"source":{"id":"1705.08576","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-24T01:26:36Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"14e9e255eb49dcebe4b3c596c97a0a6dfff3a6caaaf4518b61e6fb32b70186bf","abstract_canon_sha256":"3d469e70f2ce7b79a7bbbc8eeb5183f5b169c46275ed23c5af72c91cf91a2e46"},"schema_version":"1.0"},"canonical_sha256":"d138c97ac0ac0f7526f01f3fdcc599c24636b1a2be42e5ad678decb2434bd50a","source":{"kind":"arxiv","id":"1705.08576","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08576","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08576v1","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08576","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"2E4MS6WAVQHX","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2E4MS6WAVQHXKJXQ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2E4MS6WA","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2E4MS6WAVQHXKJXQD475ZRMZYJ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.08576","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-24T01:26:36Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"14e9e255eb49dcebe4b3c596c97a0a6dfff3a6caaaf4518b61e6fb32b70186bf","abstract_canon_sha256":"3d469e70f2ce7b79a7bbbc8eeb5183f5b169c46275ed23c5af72c91cf91a2e46"},"schema_version":"1.0"},"canonical_sha256":"d138c97ac0ac0f7526f01f3fdcc599c24636b1a2be42e5ad678decb2434bd50a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:45.685513Z","signature_b64":"uW+jgJ/U1Snh0wRJ7TbcFGsP3N13dy6XmaFuYzCPbkKO1QlYCtxawlDEe3zt4g0uZ1Dp1gei7pMx9T08c1r6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d138c97ac0ac0f7526f01f3fdcc599c24636b1a2be42e5ad678decb2434bd50a","last_reissued_at":"2026-05-18T00:43:45.685009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:45.685009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.08576","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hftgyUHdH+czIyLvXpgoQJLGcYFQtzWDsRxhFf+dbfowXkVFuHZv4xpLagNx+9t5FBs5Q9FP189F6FjRioTyBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:18:27.649825Z"},"content_sha256":"497e6c105e91bf187ce8e9fd6332020b82064c0ddb5efd08b587818b780b93e0","schema_version":"1.0","event_id":"sha256:497e6c105e91bf187ce8e9fd6332020b82064c0ddb5efd08b587818b780b93e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2E4MS6WAVQHXKJXQD475ZRMZYJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flexible Cache-Aided Networks with Backhauling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ejder Ba\\c{s}tu\\u{g}, Im\\`ene Ghamnia, Italo Atzeni, Marco Maso, M\\'erouane Debbah","submitted_at":"2017-05-24T01:26:36Z","abstract_excerpt":"Caching at the edge is a promising technique to cope with the increasing data demand in wireless networks. This paper analyzes the performance of cellular networks consisting of a tier macro-cell wireless backhaul nodes overlaid with a tier of cache-aided small cells. We consider both static and dynamic association policies for content delivery to the user terminals and analyze their performance. In particular, we derive closed-form expressions for the area spectral efficiency and the energy efficiency, which are used to optimize relevant design parameters such as the density of cache-aided sm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08576","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BuIrnPBThFaTqUGW4a/24ZHxJEgd9ZFxSz4T+TqPbF4y3NC1F+zQJ8wiWO4wjTiTBja1y2MY+fVNeVhLuulmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:18:27.650577Z"},"content_sha256":"428e86dda8cbf81b0f59f659070b84c0af9c410a288c5d5db93caad2884f2a91","schema_version":"1.0","event_id":"sha256:428e86dda8cbf81b0f59f659070b84c0af9c410a288c5d5db93caad2884f2a91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ/bundle.json","state_url":"https://pith.science/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T18:18:27Z","links":{"resolver":"https://pith.science/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ","bundle":"https://pith.science/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ/bundle.json","state":"https://pith.science/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2E4MS6WAVQHXKJXQD475ZRMZYJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2E4MS6WAVQHXKJXQD475ZRMZYJ","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":"3d469e70f2ce7b79a7bbbc8eeb5183f5b169c46275ed23c5af72c91cf91a2e46","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-24T01:26:36Z","title_canon_sha256":"14e9e255eb49dcebe4b3c596c97a0a6dfff3a6caaaf4518b61e6fb32b70186bf"},"schema_version":"1.0","source":{"id":"1705.08576","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08576","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08576v1","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08576","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"2E4MS6WAVQHX","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2E4MS6WAVQHXKJXQ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2E4MS6WA","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:428e86dda8cbf81b0f59f659070b84c0af9c410a288c5d5db93caad2884f2a91","target":"graph","created_at":"2026-05-18T00:43:45Z","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":"Caching at the edge is a promising technique to cope with the increasing data demand in wireless networks. This paper analyzes the performance of cellular networks consisting of a tier macro-cell wireless backhaul nodes overlaid with a tier of cache-aided small cells. We consider both static and dynamic association policies for content delivery to the user terminals and analyze their performance. In particular, we derive closed-form expressions for the area spectral efficiency and the energy efficiency, which are used to optimize relevant design parameters such as the density of cache-aided sm","authors_text":"Ejder Ba\\c{s}tu\\u{g}, Im\\`ene Ghamnia, Italo Atzeni, Marco Maso, M\\'erouane Debbah","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-24T01:26:36Z","title":"Flexible Cache-Aided Networks with Backhauling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08576","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":"sha256:497e6c105e91bf187ce8e9fd6332020b82064c0ddb5efd08b587818b780b93e0","target":"record","created_at":"2026-05-18T00:43:45Z","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":"3d469e70f2ce7b79a7bbbc8eeb5183f5b169c46275ed23c5af72c91cf91a2e46","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-24T01:26:36Z","title_canon_sha256":"14e9e255eb49dcebe4b3c596c97a0a6dfff3a6caaaf4518b61e6fb32b70186bf"},"schema_version":"1.0","source":{"id":"1705.08576","kind":"arxiv","version":1}},"canonical_sha256":"d138c97ac0ac0f7526f01f3fdcc599c24636b1a2be42e5ad678decb2434bd50a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d138c97ac0ac0f7526f01f3fdcc599c24636b1a2be42e5ad678decb2434bd50a","first_computed_at":"2026-05-18T00:43:45.685009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:45.685009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uW+jgJ/U1Snh0wRJ7TbcFGsP3N13dy6XmaFuYzCPbkKO1QlYCtxawlDEe3zt4g0uZ1Dp1gei7pMx9T08c1r6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:45.685513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08576","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:497e6c105e91bf187ce8e9fd6332020b82064c0ddb5efd08b587818b780b93e0","sha256:428e86dda8cbf81b0f59f659070b84c0af9c410a288c5d5db93caad2884f2a91"],"state_sha256":"956f9c916d422b51fee4a2e0473ec7ea32976c5eca149a9cd3a4bd1909afc2ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9h5EwDM9UXIa+QWbfTibeMss/qN1L+GEqjvoVvg/Q5xHj9fonvftFOMuYvI1MxqClVHqIEMqp6EMLC8DNLyRCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:18:27.655074Z","bundle_sha256":"b4d2fb1fdf13feedd9056fb44a7b6b424ebe19f88e8c155cab103d62d83264f8"}}