{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2OPMZJPBT7I6NRQD3W4YSRR7RJ","short_pith_number":"pith:2OPMZJPB","canonical_record":{"source":{"id":"1203.1301","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-06T20:01:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1860a213a37a16d57d1bb43fcce61e321adf45cabecfe88b3ac99d1561bf5523","abstract_canon_sha256":"684eec51c8727297ff55e783c4be6ecb8357c3815a61e62de3bde8a085831bbe"},"schema_version":"1.0"},"canonical_sha256":"d39ecca5e19fd1e6c603ddb989463f8a4e405aadda81e29892a9a89a4d8bd16f","source":{"kind":"arxiv","id":"1203.1301","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1301","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1301v1","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1301","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"2OPMZJPBT7I6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2OPMZJPBT7I6NRQD","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2OPMZJPB","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2OPMZJPBT7I6NRQD3W4YSRR7RJ","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1301","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-06T20:01:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1860a213a37a16d57d1bb43fcce61e321adf45cabecfe88b3ac99d1561bf5523","abstract_canon_sha256":"684eec51c8727297ff55e783c4be6ecb8357c3815a61e62de3bde8a085831bbe"},"schema_version":"1.0"},"canonical_sha256":"d39ecca5e19fd1e6c603ddb989463f8a4e405aadda81e29892a9a89a4d8bd16f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:39.728452Z","signature_b64":"GJ1pCwSKKppFfFR1qz9xLmDw70sC0D13XW+yEMcsjN1GWsQNJLDlsp0xJXCy4GxU3yRn0jtuIvHjkG7OVHHRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d39ecca5e19fd1e6c603ddb989463f8a4e405aadda81e29892a9a89a4d8bd16f","last_reissued_at":"2026-05-18T04:00:39.727628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:39.727628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1301","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":"2026-05-18T04:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h5S3ylFe+zZwbJZYa24WAhlH2JfL5WJ5a9qi8FL4NMYroc8P26SHT69EYytdSZLouv3E+Y6hr9HgskmI1HLTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:38:04.800018Z"},"content_sha256":"794650235a100563b3529f17297fd92867a63a50e0ca56742ed3d8393c3836b5","schema_version":"1.0","event_id":"sha256:794650235a100563b3529f17297fd92867a63a50e0ca56742ed3d8393c3836b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2OPMZJPBT7I6NRQD3W4YSRR7RJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Use of Current and Outdated Channel State Information - Degrees of Freedom of the MISO BC with Mixed CSIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Syed A. Jafar, Tiangao Gou","submitted_at":"2012-03-06T20:01:37Z","abstract_excerpt":"We consider a multiple-input-single-output (MISO) broadcast channel with mixed channel state information at the transmitter (CSIT) that consists of imperfect current CSIT and perfect outdated CSIT. Recent work by Kobayashi et al. presented a scheme which exploits both imperfect current CSIT and perfect outdated CSIT and achieves higher degrees of freedom (DoF) than possible with only imperfect current CSIT or only outdated CSIT individually. In this work, we further improve the achievable DoF in this setting by incorporating additional private messages, and provide a tight information theoreti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1301","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":"2026-05-18T04:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"phGqNtClkXq92O4OpofDMQprJb6S1USPnfsb/fo215suLmBd5weSEUZritDfIEk/FKQlXDCe1Z3ufU/XzHPKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:38:04.800748Z"},"content_sha256":"d773469f5feead7fafcbc8e056a458ff85dbb83aaebe335e24dfefcd365c17aa","schema_version":"1.0","event_id":"sha256:d773469f5feead7fafcbc8e056a458ff85dbb83aaebe335e24dfefcd365c17aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ/bundle.json","state_url":"https://pith.science/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ/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":"2026-06-09T19:38:04Z","links":{"resolver":"https://pith.science/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ","bundle":"https://pith.science/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ/bundle.json","state":"https://pith.science/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2OPMZJPBT7I6NRQD3W4YSRR7RJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2OPMZJPBT7I6NRQD3W4YSRR7RJ","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":"684eec51c8727297ff55e783c4be6ecb8357c3815a61e62de3bde8a085831bbe","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-06T20:01:37Z","title_canon_sha256":"1860a213a37a16d57d1bb43fcce61e321adf45cabecfe88b3ac99d1561bf5523"},"schema_version":"1.0","source":{"id":"1203.1301","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1301","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1301v1","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1301","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"2OPMZJPBT7I6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2OPMZJPBT7I6NRQD","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2OPMZJPB","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:d773469f5feead7fafcbc8e056a458ff85dbb83aaebe335e24dfefcd365c17aa","target":"graph","created_at":"2026-05-18T04:00:39Z","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 a multiple-input-single-output (MISO) broadcast channel with mixed channel state information at the transmitter (CSIT) that consists of imperfect current CSIT and perfect outdated CSIT. Recent work by Kobayashi et al. presented a scheme which exploits both imperfect current CSIT and perfect outdated CSIT and achieves higher degrees of freedom (DoF) than possible with only imperfect current CSIT or only outdated CSIT individually. In this work, we further improve the achievable DoF in this setting by incorporating additional private messages, and provide a tight information theoreti","authors_text":"Syed A. Jafar, Tiangao Gou","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-06T20:01:37Z","title":"Optimal Use of Current and Outdated Channel State Information - Degrees of Freedom of the MISO BC with Mixed CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1301","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":"sha256:794650235a100563b3529f17297fd92867a63a50e0ca56742ed3d8393c3836b5","target":"record","created_at":"2026-05-18T04:00:39Z","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":"684eec51c8727297ff55e783c4be6ecb8357c3815a61e62de3bde8a085831bbe","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-06T20:01:37Z","title_canon_sha256":"1860a213a37a16d57d1bb43fcce61e321adf45cabecfe88b3ac99d1561bf5523"},"schema_version":"1.0","source":{"id":"1203.1301","kind":"arxiv","version":1}},"canonical_sha256":"d39ecca5e19fd1e6c603ddb989463f8a4e405aadda81e29892a9a89a4d8bd16f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d39ecca5e19fd1e6c603ddb989463f8a4e405aadda81e29892a9a89a4d8bd16f","first_computed_at":"2026-05-18T04:00:39.727628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:39.727628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GJ1pCwSKKppFfFR1qz9xLmDw70sC0D13XW+yEMcsjN1GWsQNJLDlsp0xJXCy4GxU3yRn0jtuIvHjkG7OVHHRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:39.728452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1301","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:794650235a100563b3529f17297fd92867a63a50e0ca56742ed3d8393c3836b5","sha256:d773469f5feead7fafcbc8e056a458ff85dbb83aaebe335e24dfefcd365c17aa"],"state_sha256":"c4525275ae570ff24bbd6c3f8c4667c8a5b4b4a47dc56acda3c24c7f69ef3894"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8JeYtFNMj0YjZBzb6EctW2f1R1pWTPrJu4yNjh29pie3es6Hhf3wWdBkx31Iei+cciDtCMCvUOlcSENRX7XkBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:38:04.804716Z","bundle_sha256":"c59eb6e3a946239f393717cbdeb6926b02d04778bdc60b8779da509471aee917"}}