{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KXL3QZJSSU3NFHVJTV7D2NBCQU","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":"4db4051f15c95fe57895cb422db4f37b11fe5ef9d1740bf965497733dbb88022","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-22T02:59:56Z","title_canon_sha256":"aca8c4c24f8187bed8439fa0ade8806193d47a0fd668472499c20c103f80d2dc"},"schema_version":"1.0","source":{"id":"1512.06938","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06938","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06938v2","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06938","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"pith_short_12","alias_value":"KXL3QZJSSU3N","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KXL3QZJSSU3NFHVJ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KXL3QZJS","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:72cdcd8083e052cfa84df8d320a2e0f21e95b8f95eed188a3fad60d16b88fdd0","target":"graph","created_at":"2026-05-18T00:58:34Z","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":"This paper presents a content-centric transmission design in a cloud radio access network (cloud RAN) by incorporating multicasting and caching. Users requesting a same content form a multicast group and are served by a same cluster of base stations (BSs) cooperatively. Each BS has a local cache and it acquires the requested contents either from its local cache or from the central processor (CP) via backhaul links. We investigate the dynamic content-centric BS clustering and multicast beamforming with respect to both channel condition and caching status. We first formulate a mixed-integer nonl","authors_text":"Erkai Chen, Hao Zhou, Meixia Tao, Wei Yu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-22T02:59:56Z","title":"Content-Centric Sparse Multicast Beamforming for Cache-Enabled Cloud RAN"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06938","kind":"arxiv","version":2},"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:db22e3015e7469d42ba300d789c895c2d7abec5ac67190f11d37577be1c246ec","target":"record","created_at":"2026-05-18T00:58:34Z","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":"4db4051f15c95fe57895cb422db4f37b11fe5ef9d1740bf965497733dbb88022","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-22T02:59:56Z","title_canon_sha256":"aca8c4c24f8187bed8439fa0ade8806193d47a0fd668472499c20c103f80d2dc"},"schema_version":"1.0","source":{"id":"1512.06938","kind":"arxiv","version":2}},"canonical_sha256":"55d7b865329536d29ea99d7e3d34228527c65dcc8c1bc0b493895f5b3250b6d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55d7b865329536d29ea99d7e3d34228527c65dcc8c1bc0b493895f5b3250b6d9","first_computed_at":"2026-05-18T00:58:34.374091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:34.374091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cC17mWqoPFc8DZmet7I871po1BCCgmuGThovlM5iE9PdebKiNxQsBnrG0031HbKUkGG+7XRtcBiJupPCU+YlAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:34.374777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06938","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db22e3015e7469d42ba300d789c895c2d7abec5ac67190f11d37577be1c246ec","sha256:72cdcd8083e052cfa84df8d320a2e0f21e95b8f95eed188a3fad60d16b88fdd0"],"state_sha256":"a2dfa9450e3636da5e642c9c78c9d38ff25f1bab7cb4363d00a4b424223b5a2f"}