{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RGTCTDC4QK5PTF6BWGRWBTVW7L","short_pith_number":"pith:RGTCTDC4","canonical_record":{"source":{"id":"1105.3686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-18T16:49:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"060d98e47444917e9fd1a2a6942fcd00fea6a4b5e5f9ce7b04e4159c97a68d67","abstract_canon_sha256":"1223591c5623787f319dc2e6990869f262aef76f2397606f788390244b1a2492"},"schema_version":"1.0"},"canonical_sha256":"89a6298c5c82baf997c1b1a360ceb6fac81782816fd9a7355b0985a9b5f6f9ac","source":{"kind":"arxiv","id":"1105.3686","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3686","created_at":"2026-05-18T04:21:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3686v1","created_at":"2026-05-18T04:21:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3686","created_at":"2026-05-18T04:21:52Z"},{"alias_kind":"pith_short_12","alias_value":"RGTCTDC4QK5P","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RGTCTDC4QK5PTF6B","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RGTCTDC4","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RGTCTDC4QK5PTF6BWGRWBTVW7L","target":"record","payload":{"canonical_record":{"source":{"id":"1105.3686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-18T16:49:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"060d98e47444917e9fd1a2a6942fcd00fea6a4b5e5f9ce7b04e4159c97a68d67","abstract_canon_sha256":"1223591c5623787f319dc2e6990869f262aef76f2397606f788390244b1a2492"},"schema_version":"1.0"},"canonical_sha256":"89a6298c5c82baf997c1b1a360ceb6fac81782816fd9a7355b0985a9b5f6f9ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:52.055693Z","signature_b64":"ZOLFvhxLNNC5aRQDiWjgKYmTmo6eHv4YBifH0ks0Zvc35deiggiQPFgHSG8O5yLncWyjYpe14QaQd7r1RhgWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89a6298c5c82baf997c1b1a360ceb6fac81782816fd9a7355b0985a9b5f6f9ac","last_reissued_at":"2026-05-18T04:21:52.055023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:52.055023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.3686","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":"2026-05-18T04:21:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1vDxKxVITHGCzSqgMRuS2nUi9S3nQ6P6krxeclsMqsEhhmbc4XIn8sxrSNrMhdELaiG41QeS4r1YNX9VimvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:20:07.132449Z"},"content_sha256":"0d0ed94a2c857895ef8d8ea9a66915c86a66324a671797ec13011df13b8503fe","schema_version":"1.0","event_id":"sha256:0d0ed94a2c857895ef8d8ea9a66915c86a66324a671797ec13011df13b8503fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RGTCTDC4QK5PTF6BWGRWBTVW7L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Broadcast Channels with Delayed Finite-Rate Feedback: Predict or Observe?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jeffrey G. Andrews, Jiaming Xu, Syed A. Jafar","submitted_at":"2011-05-18T16:49:54Z","abstract_excerpt":"Most multiuser precoding techniques require accurate transmitter channel state information (CSIT) to maintain orthogonality between the users. Such techniques have proven quite fragile in time-varying channels because the CSIT is inherently imperfect due to estimation and feedback delay, as well quantization noise. An alternative approach recently proposed by Maddah-Ali and Tse (MAT) allows for significant multiplexing gain in the multi-input single-output (MISO) broadcast channel (BC) even with transmit CSIT that is completely stale, i.e. uncorrelated with the current channel state. With $K$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3686","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":"2026-05-18T04:21:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVQYq4ZmbQeY98EdzGb2Jj5/zPKTsleK3JCUBZtX4OF/GwClCm42jIyukjGdQ+LAlVnv1kzUXINgB6NUsXlFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:20:07.132799Z"},"content_sha256":"09a93c038532868e151e665bbb9d27595de84f0b36cf7ff9b006a22a5e74d892","schema_version":"1.0","event_id":"sha256:09a93c038532868e151e665bbb9d27595de84f0b36cf7ff9b006a22a5e74d892"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L/bundle.json","state_url":"https://pith.science/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L/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":"2026-06-11T11:20:07Z","links":{"resolver":"https://pith.science/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L","bundle":"https://pith.science/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L/bundle.json","state":"https://pith.science/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGTCTDC4QK5PTF6BWGRWBTVW7L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RGTCTDC4QK5PTF6BWGRWBTVW7L","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":"1223591c5623787f319dc2e6990869f262aef76f2397606f788390244b1a2492","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-18T16:49:54Z","title_canon_sha256":"060d98e47444917e9fd1a2a6942fcd00fea6a4b5e5f9ce7b04e4159c97a68d67"},"schema_version":"1.0","source":{"id":"1105.3686","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3686","created_at":"2026-05-18T04:21:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3686v1","created_at":"2026-05-18T04:21:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3686","created_at":"2026-05-18T04:21:52Z"},{"alias_kind":"pith_short_12","alias_value":"RGTCTDC4QK5P","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RGTCTDC4QK5PTF6B","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RGTCTDC4","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:09a93c038532868e151e665bbb9d27595de84f0b36cf7ff9b006a22a5e74d892","target":"graph","created_at":"2026-05-18T04:21:52Z","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":"Most multiuser precoding techniques require accurate transmitter channel state information (CSIT) to maintain orthogonality between the users. Such techniques have proven quite fragile in time-varying channels because the CSIT is inherently imperfect due to estimation and feedback delay, as well quantization noise. An alternative approach recently proposed by Maddah-Ali and Tse (MAT) allows for significant multiplexing gain in the multi-input single-output (MISO) broadcast channel (BC) even with transmit CSIT that is completely stale, i.e. uncorrelated with the current channel state. With $K$ ","authors_text":"Jeffrey G. Andrews, Jiaming Xu, Syed A. Jafar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-18T16:49:54Z","title":"Broadcast Channels with Delayed Finite-Rate Feedback: Predict or Observe?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3686","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":"sha256:0d0ed94a2c857895ef8d8ea9a66915c86a66324a671797ec13011df13b8503fe","target":"record","created_at":"2026-05-18T04:21:52Z","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":"1223591c5623787f319dc2e6990869f262aef76f2397606f788390244b1a2492","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-18T16:49:54Z","title_canon_sha256":"060d98e47444917e9fd1a2a6942fcd00fea6a4b5e5f9ce7b04e4159c97a68d67"},"schema_version":"1.0","source":{"id":"1105.3686","kind":"arxiv","version":1}},"canonical_sha256":"89a6298c5c82baf997c1b1a360ceb6fac81782816fd9a7355b0985a9b5f6f9ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89a6298c5c82baf997c1b1a360ceb6fac81782816fd9a7355b0985a9b5f6f9ac","first_computed_at":"2026-05-18T04:21:52.055023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:52.055023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZOLFvhxLNNC5aRQDiWjgKYmTmo6eHv4YBifH0ks0Zvc35deiggiQPFgHSG8O5yLncWyjYpe14QaQd7r1RhgWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:52.055693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3686","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d0ed94a2c857895ef8d8ea9a66915c86a66324a671797ec13011df13b8503fe","sha256:09a93c038532868e151e665bbb9d27595de84f0b36cf7ff9b006a22a5e74d892"],"state_sha256":"53ebcf97a4c1e3f035d17a8e32150cad63502066a3914ee9b011bd9930c7ee59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMHQ/ORUglWSaaYCF0IsxKOjqWQ1xgW/JCU2c9uOCBtcK+9DlumP9qc3v91BaMdFULVO0tuUsreX4CeWdU5eDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:20:07.134790Z","bundle_sha256":"5cf4de4940601bbf55fee0555a95f55f3ad993453d553beed871b9194a0f1896"}}