{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:T4GQYMEQ7EVGAZI6IBQWS7RVUP","short_pith_number":"pith:T4GQYMEQ","canonical_record":{"source":{"id":"1305.1490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-05-07T12:36:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8e465a80ad23ea7ee01449b7402c92d5b83b4cc9ad48c49ec1ed3f8992f3e902","abstract_canon_sha256":"4df9f1cb795d6a0d5a8a528c43e44a81248803666ad5084e459f09f7be614a21"},"schema_version":"1.0"},"canonical_sha256":"9f0d0c3090f92a60651e4061697e35a3e0f1b8322ff250a4e24fd920217d4501","source":{"kind":"arxiv","id":"1305.1490","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1490","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1490v1","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1490","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"T4GQYMEQ7EVG","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T4GQYMEQ7EVGAZI6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T4GQYMEQ","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:T4GQYMEQ7EVGAZI6IBQWS7RVUP","target":"record","payload":{"canonical_record":{"source":{"id":"1305.1490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-05-07T12:36:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8e465a80ad23ea7ee01449b7402c92d5b83b4cc9ad48c49ec1ed3f8992f3e902","abstract_canon_sha256":"4df9f1cb795d6a0d5a8a528c43e44a81248803666ad5084e459f09f7be614a21"},"schema_version":"1.0"},"canonical_sha256":"9f0d0c3090f92a60651e4061697e35a3e0f1b8322ff250a4e24fd920217d4501","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:21.619156Z","signature_b64":"7S7dUV0+lDBZKXlTkJAEd7yndNCN96ZRiPLGQkbXMTGOeHhyGynoiXEs0dcNvpQmPhEw6S1JqMYrkjsfK0sYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f0d0c3090f92a60651e4061697e35a3e0f1b8322ff250a4e24fd920217d4501","last_reissued_at":"2026-05-18T03:26:21.618567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:21.618567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.1490","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":"2026-05-18T03:26:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5lixImFxKwnCXi46aTj7Lw9zzc3JcNQnmKCEreOgjTkjHN96KZmNoZzgB5khnHaxPwrZ/gr830VhD+hMRY7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:24:27.900347Z"},"content_sha256":"bb1210876e1e54ee424a46d6f4b8613973cc33020fe508a9ca0fda62bc198782","schema_version":"1.0","event_id":"sha256:bb1210876e1e54ee424a46d6f4b8613973cc33020fe508a9ca0fda62bc198782"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:T4GQYMEQ7EVGAZI6IBQWS7RVUP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degrees of Freedom of Certain Interference Alignment Schemes with Distributed CSIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"David Gesbert, Maxime Guillaud, Paul de Kerret","submitted_at":"2013-05-07T12:36:59Z","abstract_excerpt":"In this work, we consider the use of interference alignment (IA) in a MIMO interference channel (IC) under the assumption that each transmitter (TX) has access to channel state information (CSI) that generally differs from that available to other TXs. This setting is referred to as distributed CSIT. In a setting where CSI accuracy is controlled by a set of power exponents, we show that in the static 3-user MIMO square IC, the number of degrees-of-freedom (DoF) that can be achieved with distributed CSIT is at least equal to the DoF achieved with the worst accuracy taken across the TXs and acros"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1490","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":"2026-05-18T03:26:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DsOQOBkYjgjlYQ2FYV+83ypPHD/GC9w76QNKCQcfNAbhYhWxo3R7G1Sm02WRQoJaPKC0jXCoXm08Eiv5s6OCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:24:27.901332Z"},"content_sha256":"075d08090243b3f627f7bd623e3c956982002cc2c318352bb6a6e07a1764b584","schema_version":"1.0","event_id":"sha256:075d08090243b3f627f7bd623e3c956982002cc2c318352bb6a6e07a1764b584"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP/bundle.json","state_url":"https://pith.science/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP/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":"2026-05-30T07:24:27Z","links":{"resolver":"https://pith.science/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP","bundle":"https://pith.science/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP/bundle.json","state":"https://pith.science/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T4GQYMEQ7EVGAZI6IBQWS7RVUP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T4GQYMEQ7EVGAZI6IBQWS7RVUP","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":"4df9f1cb795d6a0d5a8a528c43e44a81248803666ad5084e459f09f7be614a21","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-05-07T12:36:59Z","title_canon_sha256":"8e465a80ad23ea7ee01449b7402c92d5b83b4cc9ad48c49ec1ed3f8992f3e902"},"schema_version":"1.0","source":{"id":"1305.1490","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1490","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1490v1","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1490","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"T4GQYMEQ7EVG","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T4GQYMEQ7EVGAZI6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T4GQYMEQ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:075d08090243b3f627f7bd623e3c956982002cc2c318352bb6a6e07a1764b584","target":"graph","created_at":"2026-05-18T03:26:21Z","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 this work, we consider the use of interference alignment (IA) in a MIMO interference channel (IC) under the assumption that each transmitter (TX) has access to channel state information (CSI) that generally differs from that available to other TXs. This setting is referred to as distributed CSIT. In a setting where CSI accuracy is controlled by a set of power exponents, we show that in the static 3-user MIMO square IC, the number of degrees-of-freedom (DoF) that can be achieved with distributed CSIT is at least equal to the DoF achieved with the worst accuracy taken across the TXs and acros","authors_text":"David Gesbert, Maxime Guillaud, Paul de Kerret","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-05-07T12:36:59Z","title":"Degrees of Freedom of Certain Interference Alignment Schemes with Distributed CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1490","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:bb1210876e1e54ee424a46d6f4b8613973cc33020fe508a9ca0fda62bc198782","target":"record","created_at":"2026-05-18T03:26:21Z","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":"4df9f1cb795d6a0d5a8a528c43e44a81248803666ad5084e459f09f7be614a21","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-05-07T12:36:59Z","title_canon_sha256":"8e465a80ad23ea7ee01449b7402c92d5b83b4cc9ad48c49ec1ed3f8992f3e902"},"schema_version":"1.0","source":{"id":"1305.1490","kind":"arxiv","version":1}},"canonical_sha256":"9f0d0c3090f92a60651e4061697e35a3e0f1b8322ff250a4e24fd920217d4501","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f0d0c3090f92a60651e4061697e35a3e0f1b8322ff250a4e24fd920217d4501","first_computed_at":"2026-05-18T03:26:21.618567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:21.618567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7S7dUV0+lDBZKXlTkJAEd7yndNCN96ZRiPLGQkbXMTGOeHhyGynoiXEs0dcNvpQmPhEw6S1JqMYrkjsfK0sYDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:21.619156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1490","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb1210876e1e54ee424a46d6f4b8613973cc33020fe508a9ca0fda62bc198782","sha256:075d08090243b3f627f7bd623e3c956982002cc2c318352bb6a6e07a1764b584"],"state_sha256":"6f7c0c7bb5a96c18419b8e5376100b9d688029d445591a739c728406ff7cefc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HUAdn8+UXqe7TdiTh1XAYZxS5vjKrmVU2+swtXVCEgly65yCgzXznNVFm/w0y3es9FU97KW0AUez9b46ihKLDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:24:27.905347Z","bundle_sha256":"433292a9aeb5ead8c240a307f216da13aba883cb350bd68437691562783eca08"}}