{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LXROI23ZRDT4AD76U6RMM5SJMP","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":"747cb89860d9f63a640c0f7b1ab00208782303829fabe5c61dcc16c19820fac3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2017-04-27T15:45:36Z","title_canon_sha256":"a4c977f904d8f52c3990f299e422eef633286ca1355695447505a1c56458189a"},"schema_version":"1.0","source":{"id":"1704.08625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08625","created_at":"2026-05-18T00:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08625v1","created_at":"2026-05-18T00:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08625","created_at":"2026-05-18T00:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"LXROI23ZRDT4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LXROI23ZRDT4AD76","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LXROI23Z","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:472ad1df90e9bb98dc97b8403bc4add05f130671cea830b7dccdfc2797971f7f","target":"graph","created_at":"2026-05-18T00:45:27Z","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 state and solve a problem of the optimal geographic caching of content in cellular networks, where linear combinations of contents are stored in the caches of base stations. We consider a general content popularity distribution and a general distribution of the number of stations covering the typical location in the network. We are looking for a policy of content caching maximizing the probability of serving the typical content request from the caches of covering stations. The problem has a special form of monotone sub-modular set function maximization. Using dynamic programming, we find a ","authors_text":"Bart{\\l}omiej B{\\l}aszczyszyn, Jocelyne Elias","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2017-04-27T15:45:36Z","title":"Optimal Geographic Caching in Cellular Networks with Linear Content Coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08625","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:ea0d11789f113a56c60af1b9aba99f4071aa071984cb05f659b9d8706cb79504","target":"record","created_at":"2026-05-18T00:45:27Z","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":"747cb89860d9f63a640c0f7b1ab00208782303829fabe5c61dcc16c19820fac3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2017-04-27T15:45:36Z","title_canon_sha256":"a4c977f904d8f52c3990f299e422eef633286ca1355695447505a1c56458189a"},"schema_version":"1.0","source":{"id":"1704.08625","kind":"arxiv","version":1}},"canonical_sha256":"5de2e46b7988e7c00ffea7a2c6764963d1ca5de10b3bf311627c75aa24eba330","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5de2e46b7988e7c00ffea7a2c6764963d1ca5de10b3bf311627c75aa24eba330","first_computed_at":"2026-05-18T00:45:27.294869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:27.294869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ILq5ydtcyitWzappfUXbU0L07rTvyGx3FEPYIDg2XNG4EzyW9Tgk1ATsf0g3lSGHVR1djkqtTNOAi/mJdkBvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:27.295296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.08625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea0d11789f113a56c60af1b9aba99f4071aa071984cb05f659b9d8706cb79504","sha256:472ad1df90e9bb98dc97b8403bc4add05f130671cea830b7dccdfc2797971f7f"],"state_sha256":"030142dbf308a1f4466b9eec663ff12359b83681119b95055a2e77a85ad38f77"}