{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6KK5B2SNQ4X6WHQZ2TFPGOYYZO","short_pith_number":"pith:6KK5B2SN","canonical_record":{"source":{"id":"1409.6808","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-24T03:28:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"830691d3b950137c1e6ce724a71815f65bf6ee055a46992f2e42ea2857de03f9","abstract_canon_sha256":"40c50cdec24400db7fff531368a130ed4601d20ddb0c8230e528c9625dec6c2f"},"schema_version":"1.0"},"canonical_sha256":"f295d0ea4d872feb1e19d4caf33b18cb9721a4b5d3754c029b82e41c3fd32e32","source":{"kind":"arxiv","id":"1409.6808","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6808","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6808v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6808","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"6KK5B2SNQ4X6","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6KK5B2SNQ4X6WHQZ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6KK5B2SN","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6KK5B2SNQ4X6WHQZ2TFPGOYYZO","target":"record","payload":{"canonical_record":{"source":{"id":"1409.6808","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-24T03:28:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"830691d3b950137c1e6ce724a71815f65bf6ee055a46992f2e42ea2857de03f9","abstract_canon_sha256":"40c50cdec24400db7fff531368a130ed4601d20ddb0c8230e528c9625dec6c2f"},"schema_version":"1.0"},"canonical_sha256":"f295d0ea4d872feb1e19d4caf33b18cb9721a4b5d3754c029b82e41c3fd32e32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:51.461718Z","signature_b64":"XmELElsBnTdKsGNvna3KQl7iTQb+3kEDc7sGbSG5AfYGG4RwuWYeVfhAccrdNoyy1h24XoaSxR3yLUG8Lh72DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f295d0ea4d872feb1e19d4caf33b18cb9721a4b5d3754c029b82e41c3fd32e32","last_reissued_at":"2026-05-18T00:57:51.461033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:51.461033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.6808","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":"2026-05-18T00:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jHeWA7RZD8baiGbbGJ9AandodC07rz8WSVC5GzgIs5ENAo6dUu+KPIvZ98O0/e6qHS/RxL0qgyh5oU4Hw2tQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:31:55.373857Z"},"content_sha256":"de43799e7346bf3a3af41949b3531a224bdd90a81c73f13cf386d843d13a627a","schema_version":"1.0","event_id":"sha256:de43799e7346bf3a3af41949b3531a224bdd90a81c73f13cf386d843d13a627a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6KK5B2SNQ4X6WHQZ2TFPGOYYZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Achieving Full DoF in Heterogeneous Parallel Broadcast Channels with Outdated CSIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Andrea Goldsmith, Ayfer Ozgur, Jinyuan Chen, Sheng Yang","submitted_at":"2014-09-24T03:28:00Z","abstract_excerpt":"We consider communication over heterogeneous parallel channels, where a transmitter is connected to two users via two parallel channels: a MIMO broadcast channel (BC) and a noiseless rate-limited multicast channel. We characterize the optimal degrees of freedom (DoF) region of this setting when the transmitter has delayed channel state information (CSIT) regarding the MIMO BC. Our results show that jointly coding over the two channels strictly outperforms simple channel aggregation and can even achieve the instantaneous CSIT performance with completely outdated CSIT on the MIMO BC in the sum D"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6808","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":"2026-05-18T00:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3+Nf3s6iK4UxuSpw64sMA5h1N31Pm3fson7PhwK33NC3HaXmIKPOa+QERKwkDo1BCUY1fW9EoGHXX4zW0886BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:31:55.374205Z"},"content_sha256":"6ac8a09e9494dee6e961ce750828c439e613262656091deaec7ef88533879109","schema_version":"1.0","event_id":"sha256:6ac8a09e9494dee6e961ce750828c439e613262656091deaec7ef88533879109"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO/bundle.json","state_url":"https://pith.science/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO/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":"2026-05-28T04:31:55Z","links":{"resolver":"https://pith.science/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO","bundle":"https://pith.science/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO/bundle.json","state":"https://pith.science/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KK5B2SNQ4X6WHQZ2TFPGOYYZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6KK5B2SNQ4X6WHQZ2TFPGOYYZO","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":"40c50cdec24400db7fff531368a130ed4601d20ddb0c8230e528c9625dec6c2f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-24T03:28:00Z","title_canon_sha256":"830691d3b950137c1e6ce724a71815f65bf6ee055a46992f2e42ea2857de03f9"},"schema_version":"1.0","source":{"id":"1409.6808","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6808","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6808v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6808","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"6KK5B2SNQ4X6","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6KK5B2SNQ4X6WHQZ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6KK5B2SN","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:6ac8a09e9494dee6e961ce750828c439e613262656091deaec7ef88533879109","target":"graph","created_at":"2026-05-18T00:57:51Z","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 consider communication over heterogeneous parallel channels, where a transmitter is connected to two users via two parallel channels: a MIMO broadcast channel (BC) and a noiseless rate-limited multicast channel. We characterize the optimal degrees of freedom (DoF) region of this setting when the transmitter has delayed channel state information (CSIT) regarding the MIMO BC. Our results show that jointly coding over the two channels strictly outperforms simple channel aggregation and can even achieve the instantaneous CSIT performance with completely outdated CSIT on the MIMO BC in the sum D","authors_text":"Andrea Goldsmith, Ayfer Ozgur, Jinyuan Chen, Sheng Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-24T03:28:00Z","title":"Achieving Full DoF in Heterogeneous Parallel Broadcast Channels with Outdated CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6808","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:de43799e7346bf3a3af41949b3531a224bdd90a81c73f13cf386d843d13a627a","target":"record","created_at":"2026-05-18T00:57:51Z","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":"40c50cdec24400db7fff531368a130ed4601d20ddb0c8230e528c9625dec6c2f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-24T03:28:00Z","title_canon_sha256":"830691d3b950137c1e6ce724a71815f65bf6ee055a46992f2e42ea2857de03f9"},"schema_version":"1.0","source":{"id":"1409.6808","kind":"arxiv","version":1}},"canonical_sha256":"f295d0ea4d872feb1e19d4caf33b18cb9721a4b5d3754c029b82e41c3fd32e32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f295d0ea4d872feb1e19d4caf33b18cb9721a4b5d3754c029b82e41c3fd32e32","first_computed_at":"2026-05-18T00:57:51.461033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:51.461033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XmELElsBnTdKsGNvna3KQl7iTQb+3kEDc7sGbSG5AfYGG4RwuWYeVfhAccrdNoyy1h24XoaSxR3yLUG8Lh72DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:51.461718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de43799e7346bf3a3af41949b3531a224bdd90a81c73f13cf386d843d13a627a","sha256:6ac8a09e9494dee6e961ce750828c439e613262656091deaec7ef88533879109"],"state_sha256":"77952425f68983b64f5a4378514c6b9761eb5641f8a2c6376159c8630f5e4d00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AEDqTrn6eY9AGOaHArA2YsrnZRncap8App0HqtlPibq6OF3iQWU0dKenUvqb+AP690AVzDfOZ0PF//blHymjCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:31:55.376201Z","bundle_sha256":"00f369e380ea1dc858604f9b5e449d029b4ff40e7e46594508b2913fa32fd8e9"}}