{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HZSFHXSTUSCYNCIROB6PWVSVIE","short_pith_number":"pith:HZSFHXST","canonical_record":{"source":{"id":"1705.07355","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-20T20:10:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cfaa855a185cfe69ec4d0f1c97ae0b42d95bb30447c1a03796a2627378a4bfec","abstract_canon_sha256":"0879e32f6886c71f729a8452e54135e4c94ef0d51c117086c29bd5125eccff1d"},"schema_version":"1.0"},"canonical_sha256":"3e6453de53a485868911707cfb5655410e56349832905f4972a22d20ca7b3bf9","source":{"kind":"arxiv","id":"1705.07355","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07355","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07355v6","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07355","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"HZSFHXSTUSCY","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"HZSFHXSTUSCYNCIR","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"HZSFHXST","created_at":"2026-07-05T00:19:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HZSFHXSTUSCYNCIROB6PWVSVIE","target":"record","payload":{"canonical_record":{"source":{"id":"1705.07355","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-20T20:10:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cfaa855a185cfe69ec4d0f1c97ae0b42d95bb30447c1a03796a2627378a4bfec","abstract_canon_sha256":"0879e32f6886c71f729a8452e54135e4c94ef0d51c117086c29bd5125eccff1d"},"schema_version":"1.0"},"canonical_sha256":"3e6453de53a485868911707cfb5655410e56349832905f4972a22d20ca7b3bf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:19:51.625953Z","signature_b64":"LyWQRsCvmSlKC1p5KUnx/aFyxOr0k8qHFEE1qx0rMgayJob7r4/FP//jUOJn0TlQq7pqWgtwvpQUdyqxahKWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e6453de53a485868911707cfb5655410e56349832905f4972a22d20ca7b3bf9","last_reissued_at":"2026-07-05T00:19:51.625449Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:19:51.625449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.07355","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hv3c6xPksyl7VPNq2SD3y1weMupZZhXq01hK2bopyM8Fz6rllY+lJGprtKBPrsnf8f85OcPnJVGNT8bzhmL7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T03:12:12.583635Z"},"content_sha256":"4f06f4db99e7f9902c9edbd7661a58dcb03776f4dd4bec945c2b6a63e502a1a7","schema_version":"1.0","event_id":"sha256:4f06f4db99e7f9902c9edbd7661a58dcb03776f4dd4bec945c2b6a63e502a1a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HZSFHXSTUSCYNCIROB6PWVSVIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Degrees Freedom of Noncoherent MIMO Channels with Asymmetric Link Strengths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Joyson Sebastian, Suhas. N. Diggavi","submitted_at":"2017-05-20T20:10:51Z","abstract_excerpt":"We study the generalized degrees of freedom (gDoF) of block-fading noncoherent multiple input multiple output (MIMO) channels with asymmetric distributions of link strengths and a coherence time of T symbol durations. We derive the optimal signaling structure for communication for the asymmetric MIMO channel, which is distinct from that for the MIMO channel with independent and identically distributed (i.i.d.) links. We extend the existing results for the single input multiple output (SIMO) channel with i.i.d. links to the asymmetric case, proving that selecting the statistically best antenna "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07355","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1705.07355/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"53gYiZ/VPqaV2SBxiED/+q6mgRSPOJrAiETcz2D5BjpaQ2uXnWtelk8OfIUbUJUmqvXeaNT3Ky6l5Xg9jkjgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T03:12:12.584007Z"},"content_sha256":"da6b3920a09ae6e637a437d199e80836ffb21d2c2400a5e238a432aa62aa2bd0","schema_version":"1.0","event_id":"sha256:da6b3920a09ae6e637a437d199e80836ffb21d2c2400a5e238a432aa62aa2bd0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZSFHXSTUSCYNCIROB6PWVSVIE/bundle.json","state_url":"https://pith.science/pith/HZSFHXSTUSCYNCIROB6PWVSVIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZSFHXSTUSCYNCIROB6PWVSVIE/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":"2026-07-17T03:12:12Z","links":{"resolver":"https://pith.science/pith/HZSFHXSTUSCYNCIROB6PWVSVIE","bundle":"https://pith.science/pith/HZSFHXSTUSCYNCIROB6PWVSVIE/bundle.json","state":"https://pith.science/pith/HZSFHXSTUSCYNCIROB6PWVSVIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZSFHXSTUSCYNCIROB6PWVSVIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HZSFHXSTUSCYNCIROB6PWVSVIE","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":"0879e32f6886c71f729a8452e54135e4c94ef0d51c117086c29bd5125eccff1d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-20T20:10:51Z","title_canon_sha256":"cfaa855a185cfe69ec4d0f1c97ae0b42d95bb30447c1a03796a2627378a4bfec"},"schema_version":"1.0","source":{"id":"1705.07355","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07355","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07355v6","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07355","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"HZSFHXSTUSCY","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"HZSFHXSTUSCYNCIR","created_at":"2026-07-05T00:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"HZSFHXST","created_at":"2026-07-05T00:19:51Z"}],"graph_snapshots":[{"event_id":"sha256:da6b3920a09ae6e637a437d199e80836ffb21d2c2400a5e238a432aa62aa2bd0","target":"graph","created_at":"2026-07-05T00:19:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1705.07355/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the generalized degrees of freedom (gDoF) of block-fading noncoherent multiple input multiple output (MIMO) channels with asymmetric distributions of link strengths and a coherence time of T symbol durations. We derive the optimal signaling structure for communication for the asymmetric MIMO channel, which is distinct from that for the MIMO channel with independent and identically distributed (i.i.d.) links. We extend the existing results for the single input multiple output (SIMO) channel with i.i.d. links to the asymmetric case, proving that selecting the statistically best antenna ","authors_text":"Joyson Sebastian, Suhas. N. Diggavi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-20T20:10:51Z","title":"Generalized Degrees Freedom of Noncoherent MIMO Channels with Asymmetric Link Strengths"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07355","kind":"arxiv","version":6},"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":"sha256:4f06f4db99e7f9902c9edbd7661a58dcb03776f4dd4bec945c2b6a63e502a1a7","target":"record","created_at":"2026-07-05T00:19:51Z","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":"0879e32f6886c71f729a8452e54135e4c94ef0d51c117086c29bd5125eccff1d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-20T20:10:51Z","title_canon_sha256":"cfaa855a185cfe69ec4d0f1c97ae0b42d95bb30447c1a03796a2627378a4bfec"},"schema_version":"1.0","source":{"id":"1705.07355","kind":"arxiv","version":6}},"canonical_sha256":"3e6453de53a485868911707cfb5655410e56349832905f4972a22d20ca7b3bf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e6453de53a485868911707cfb5655410e56349832905f4972a22d20ca7b3bf9","first_computed_at":"2026-07-05T00:19:51.625449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:19:51.625449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LyWQRsCvmSlKC1p5KUnx/aFyxOr0k8qHFEE1qx0rMgayJob7r4/FP//jUOJn0TlQq7pqWgtwvpQUdyqxahKWBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:19:51.625953Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07355","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f06f4db99e7f9902c9edbd7661a58dcb03776f4dd4bec945c2b6a63e502a1a7","sha256:da6b3920a09ae6e637a437d199e80836ffb21d2c2400a5e238a432aa62aa2bd0"],"state_sha256":"36df03d95e53a00a5a0cc51a5fe862926c7f5d23b70747211af6ebba4166fbbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QO+tqpFb7SdSfSJIgQQFvL8qCpMe4duSH6RMqz7lt6ZwaG18Oq6GRtTOrH5GNitP1XCZ3cP791hqE0vZcGJVCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T03:12:12.586561Z","bundle_sha256":"fcda7786cbb03a8259f0acfc800483a1f782fe4281322d7a30f310b89eec95e7"}}