{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:C4V6BVPSQPD3TDOWFFW55SZWWI","short_pith_number":"pith:C4V6BVPS","canonical_record":{"source":{"id":"1109.5373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T17:09:29Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3d8ba62c1e25325b51ebd2f4efc08ac2d54c812dd77b657f847ff606a53bf962","abstract_canon_sha256":"88abc098f33b27b7323e1e232e22992063d1e415d89cdece5922406a4b7d4357"},"schema_version":"1.0"},"canonical_sha256":"172be0d5f283c7b98dd6296ddecb36b233e54f710b22a35436e33ffe81c6d648","source":{"kind":"arxiv","id":"1109.5373","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5373","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5373v2","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5373","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"pith_short_12","alias_value":"C4V6BVPSQPD3","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C4V6BVPSQPD3TDOW","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C4V6BVPS","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:C4V6BVPSQPD3TDOWFFW55SZWWI","target":"record","payload":{"canonical_record":{"source":{"id":"1109.5373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T17:09:29Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3d8ba62c1e25325b51ebd2f4efc08ac2d54c812dd77b657f847ff606a53bf962","abstract_canon_sha256":"88abc098f33b27b7323e1e232e22992063d1e415d89cdece5922406a4b7d4357"},"schema_version":"1.0"},"canonical_sha256":"172be0d5f283c7b98dd6296ddecb36b233e54f710b22a35436e33ffe81c6d648","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:18.712075Z","signature_b64":"P534YwrfA59lr+bB2oZTXpjz0j0IDv4PsZ+YeA8xycyI6cCGYxSnQx624Juvskjhqr2x8YuMGucLm7ysTF5pAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"172be0d5f283c7b98dd6296ddecb36b233e54f710b22a35436e33ffe81c6d648","last_reissued_at":"2026-05-18T00:58:18.711257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:18.711257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.5373","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PUsT9VgFvjKJzg4JD1XCvx+uSwblbfE4T6CtcA3Kl2wqhK14jojoFQaP2UaKnMteYhsz9uAZFeeOCikyTg+BBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:07:13.542754Z"},"content_sha256":"4c6087e10b32750212849dc5ed66dd3759753e2d9a8b7735edeece944e0a97e8","schema_version":"1.0","event_id":"sha256:4c6087e10b32750212849dc5ed66dd3759753e2d9a8b7735edeece944e0a97e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:C4V6BVPSQPD3TDOWFFW55SZWWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degrees of Freedom Region of the MIMO Interference Channel with Output Feedback and Delayed CSIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"H. Vincent Poor, Ravi Tandon, Shlomo Shamai (Shitz), Soheil Mohajer","submitted_at":"2011-09-25T17:09:29Z","abstract_excerpt":"The two-user multiple-input multiple-output (MIMO) interference channel (IC) with arbitrary number of antennas at each terminal is considered and the degrees of freedom (DoF) region is characterized in the presence of noiseless channel output feedback from each receiver to its respective transmitter and availability of delayed channel state information at the transmitters (CSIT). It is shown that having output feedback and delayed CSIT can strictly enlarge the DoF region of the MIMO IC when compared to the case in which only delayed CSIT is present. The proposed coding schemes that achieve the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5373","kind":"arxiv","version":2},"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":"2026-05-18T00:58:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONe4hrFXtXyhuG1647jmyJnz/UVSnZKbmCxRaNKlNMOPeM8FvIs+ZkaskuEiqnNzvatpXm6mEyeEdK9OKJktAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:07:13.543190Z"},"content_sha256":"b96b9370c1f0dbe7755f0c66061030b7b95e684b43499096a310a7b872e4c493","schema_version":"1.0","event_id":"sha256:b96b9370c1f0dbe7755f0c66061030b7b95e684b43499096a310a7b872e4c493"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C4V6BVPSQPD3TDOWFFW55SZWWI/bundle.json","state_url":"https://pith.science/pith/C4V6BVPSQPD3TDOWFFW55SZWWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C4V6BVPSQPD3TDOWFFW55SZWWI/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":"2026-06-11T22:07:13Z","links":{"resolver":"https://pith.science/pith/C4V6BVPSQPD3TDOWFFW55SZWWI","bundle":"https://pith.science/pith/C4V6BVPSQPD3TDOWFFW55SZWWI/bundle.json","state":"https://pith.science/pith/C4V6BVPSQPD3TDOWFFW55SZWWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C4V6BVPSQPD3TDOWFFW55SZWWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:C4V6BVPSQPD3TDOWFFW55SZWWI","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":"88abc098f33b27b7323e1e232e22992063d1e415d89cdece5922406a4b7d4357","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T17:09:29Z","title_canon_sha256":"3d8ba62c1e25325b51ebd2f4efc08ac2d54c812dd77b657f847ff606a53bf962"},"schema_version":"1.0","source":{"id":"1109.5373","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5373","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5373v2","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5373","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"pith_short_12","alias_value":"C4V6BVPSQPD3","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C4V6BVPSQPD3TDOW","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C4V6BVPS","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:b96b9370c1f0dbe7755f0c66061030b7b95e684b43499096a310a7b872e4c493","target":"graph","created_at":"2026-05-18T00:58:18Z","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":"The two-user multiple-input multiple-output (MIMO) interference channel (IC) with arbitrary number of antennas at each terminal is considered and the degrees of freedom (DoF) region is characterized in the presence of noiseless channel output feedback from each receiver to its respective transmitter and availability of delayed channel state information at the transmitters (CSIT). It is shown that having output feedback and delayed CSIT can strictly enlarge the DoF region of the MIMO IC when compared to the case in which only delayed CSIT is present. The proposed coding schemes that achieve the","authors_text":"H. Vincent Poor, Ravi Tandon, Shlomo Shamai (Shitz), Soheil Mohajer","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T17:09:29Z","title":"Degrees of Freedom Region of the MIMO Interference Channel with Output Feedback and Delayed CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5373","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":"sha256:4c6087e10b32750212849dc5ed66dd3759753e2d9a8b7735edeece944e0a97e8","target":"record","created_at":"2026-05-18T00:58:18Z","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":"88abc098f33b27b7323e1e232e22992063d1e415d89cdece5922406a4b7d4357","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T17:09:29Z","title_canon_sha256":"3d8ba62c1e25325b51ebd2f4efc08ac2d54c812dd77b657f847ff606a53bf962"},"schema_version":"1.0","source":{"id":"1109.5373","kind":"arxiv","version":2}},"canonical_sha256":"172be0d5f283c7b98dd6296ddecb36b233e54f710b22a35436e33ffe81c6d648","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"172be0d5f283c7b98dd6296ddecb36b233e54f710b22a35436e33ffe81c6d648","first_computed_at":"2026-05-18T00:58:18.711257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:18.711257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P534YwrfA59lr+bB2oZTXpjz0j0IDv4PsZ+YeA8xycyI6cCGYxSnQx624Juvskjhqr2x8YuMGucLm7ysTF5pAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:18.712075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5373","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c6087e10b32750212849dc5ed66dd3759753e2d9a8b7735edeece944e0a97e8","sha256:b96b9370c1f0dbe7755f0c66061030b7b95e684b43499096a310a7b872e4c493"],"state_sha256":"a0ad9551fd82575945e3d06d473c32df4ce5fced6b3d9f4e78e48b8d9baaa58e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8VdyItT4jvIDbsZ9OL+2O7o+stgO9ZZTJ3tyF0VJ98cwX+wd6bRvtRyPV1eJL4e4MTdIKnh8uwkrUyXksTb4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:07:13.546451Z","bundle_sha256":"68be6de24d1cc7840f0ef5cb8660eb23cfc62d1067975a230a2727fb014e0565"}}