{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:UAYPCJAO6JDGJXRJVJXCJNNGP6","short_pith_number":"pith:UAYPCJAO","canonical_record":{"source":{"id":"1802.03389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-09T18:54:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"666b80a20618b73cc02650092d1927893459cb97b22af8cd24417df82864c9c6","abstract_canon_sha256":"72980c72ed6be79e0c0f21544583ff7290376019efb41146ce18b06e09f9427a"},"schema_version":"1.0"},"canonical_sha256":"a030f1240ef24664de29aa6e24b5a67fb977cb948d421e73054c4fa896ffb079","source":{"kind":"arxiv","id":"1802.03389","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03389","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03389v1","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03389","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"UAYPCJAO6JDG","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UAYPCJAO6JDGJXRJ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UAYPCJAO","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:UAYPCJAO6JDGJXRJVJXCJNNGP6","target":"record","payload":{"canonical_record":{"source":{"id":"1802.03389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-09T18:54:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"666b80a20618b73cc02650092d1927893459cb97b22af8cd24417df82864c9c6","abstract_canon_sha256":"72980c72ed6be79e0c0f21544583ff7290376019efb41146ce18b06e09f9427a"},"schema_version":"1.0"},"canonical_sha256":"a030f1240ef24664de29aa6e24b5a67fb977cb948d421e73054c4fa896ffb079","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:57.752420Z","signature_b64":"Tser3lJQj26j066EMD8XHgAD9Hzgcq2RD8R5vW/qugB/CD3X5FT/7pYl9OQ2q0OiBdjzaqT4y1L+c/V/a3/HDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a030f1240ef24664de29aa6e24b5a67fb977cb948d421e73054c4fa896ffb079","last_reissued_at":"2026-05-18T00:23:57.751806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:57.751806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.03389","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":"2026-05-18T00:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PtSpNy5oAPwME9jN4DXNnDdRmy2cxMET5+gZwFGmlk9yUZK3H4u7wYtSEDR4q9Sq7AMOqm7NzxMa6F2sixiYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:31:36.714334Z"},"content_sha256":"9df6a0bdc472f47224e033a9bb6761dc57d9d7c0001b74f5da9db8adee95489f","schema_version":"1.0","event_id":"sha256:9df6a0bdc472f47224e033a9bb6761dc57d9d7c0001b74f5da9db8adee95489f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:UAYPCJAO6JDGJXRJVJXCJNNGP6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adding transmitters dramatically boosts coded-caching gains for finite file sizes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Eleftherios Lampiris, Petros Elia","submitted_at":"2018-02-09T18:54:51Z","abstract_excerpt":"In the context of coded caching in the $K$-user BC, our work reveals the surprising fact that having multiple ($L$) transmitting antennas, dramatically ameliorates the long-standing subpacketization bottleneck of coded caching by reducing the required subpacketization to approximately its $L$th root, thus boosting the actual DoF by a multiplicative factor of up to $L$. In asymptotic terms, this reveals that as long as $L$ scales with the theoretical caching gain, then the full cumulative (multiplexing + full caching) gains are achieved with constant subpacketization. This is the first time, in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03389","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":"2026-05-18T00:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UOKGaaeqtgUMdly7rUNbMctj8FFgvCJX1jo9dVLC2H8p6+pbmfgAFKiOa4JEp3ZO7HLsVTX8stLLq+YCJflNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:31:36.715011Z"},"content_sha256":"18874fd720953cd7ec09d35eb3c8a2bc2512205acc3a5a3d2a737ced71af8088","schema_version":"1.0","event_id":"sha256:18874fd720953cd7ec09d35eb3c8a2bc2512205acc3a5a3d2a737ced71af8088"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6/bundle.json","state_url":"https://pith.science/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6/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":"2026-05-26T13:31:36Z","links":{"resolver":"https://pith.science/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6","bundle":"https://pith.science/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6/bundle.json","state":"https://pith.science/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UAYPCJAO6JDGJXRJVJXCJNNGP6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UAYPCJAO6JDGJXRJVJXCJNNGP6","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":"72980c72ed6be79e0c0f21544583ff7290376019efb41146ce18b06e09f9427a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-09T18:54:51Z","title_canon_sha256":"666b80a20618b73cc02650092d1927893459cb97b22af8cd24417df82864c9c6"},"schema_version":"1.0","source":{"id":"1802.03389","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03389","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03389v1","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03389","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"UAYPCJAO6JDG","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UAYPCJAO6JDGJXRJ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UAYPCJAO","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:18874fd720953cd7ec09d35eb3c8a2bc2512205acc3a5a3d2a737ced71af8088","target":"graph","created_at":"2026-05-18T00:23:57Z","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":"In the context of coded caching in the $K$-user BC, our work reveals the surprising fact that having multiple ($L$) transmitting antennas, dramatically ameliorates the long-standing subpacketization bottleneck of coded caching by reducing the required subpacketization to approximately its $L$th root, thus boosting the actual DoF by a multiplicative factor of up to $L$. In asymptotic terms, this reveals that as long as $L$ scales with the theoretical caching gain, then the full cumulative (multiplexing + full caching) gains are achieved with constant subpacketization. This is the first time, in","authors_text":"Eleftherios Lampiris, Petros Elia","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-09T18:54:51Z","title":"Adding transmitters dramatically boosts coded-caching gains for finite file sizes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03389","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":"sha256:9df6a0bdc472f47224e033a9bb6761dc57d9d7c0001b74f5da9db8adee95489f","target":"record","created_at":"2026-05-18T00:23:57Z","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":"72980c72ed6be79e0c0f21544583ff7290376019efb41146ce18b06e09f9427a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-09T18:54:51Z","title_canon_sha256":"666b80a20618b73cc02650092d1927893459cb97b22af8cd24417df82864c9c6"},"schema_version":"1.0","source":{"id":"1802.03389","kind":"arxiv","version":1}},"canonical_sha256":"a030f1240ef24664de29aa6e24b5a67fb977cb948d421e73054c4fa896ffb079","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a030f1240ef24664de29aa6e24b5a67fb977cb948d421e73054c4fa896ffb079","first_computed_at":"2026-05-18T00:23:57.751806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:57.751806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tser3lJQj26j066EMD8XHgAD9Hzgcq2RD8R5vW/qugB/CD3X5FT/7pYl9OQ2q0OiBdjzaqT4y1L+c/V/a3/HDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:57.752420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03389","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9df6a0bdc472f47224e033a9bb6761dc57d9d7c0001b74f5da9db8adee95489f","sha256:18874fd720953cd7ec09d35eb3c8a2bc2512205acc3a5a3d2a737ced71af8088"],"state_sha256":"aa05d46d2c499de310bcd6eb69032a33ac07d608b7833df5393c3f1bfd639858"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BScfw+bG3UamWqh0rEjEnrzkUzbaigFnPVXkBry9UKE8Gw/4je/51fpHvaEsThcpddmZdLwtXRPLPS5z7I/TBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:31:36.719002Z","bundle_sha256":"5a7f695f8aeac75c1bea3a53a4dc181c8e548aa7940e32e6c36e78faebf9122c"}}