{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XB6HPYWCQY7CVEMYZZC4BTIVRK","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":"b1d1f3af230a20e5bddf1c06f0c218ae705736704a0540a34c933db6c71e9722","cross_cats_sorted":["math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-12-15T13:13:05Z","title_canon_sha256":"bf8e09645622d41a304869fad32e22d97100c72709114361757a311c5f374487"},"schema_version":"1.0","source":{"id":"1012.3323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3323","created_at":"2026-05-18T01:29:12Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3323v1","created_at":"2026-05-18T01:29:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3323","created_at":"2026-05-18T01:29:12Z"},{"alias_kind":"pith_short_12","alias_value":"XB6HPYWCQY7C","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XB6HPYWCQY7CVEMY","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XB6HPYWC","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:fb29e8e5b8d896660e0418391b49ff68fa753519d85d4fdf0541c1cba7ddb546","target":"graph","created_at":"2026-05-18T01:29:12Z","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 develop a deterministic ab-initio model for the input-output relationship of a multiple-input multiple-output (MIMO) wireless channel, starting from the Maxwell equations combined with Ohm's Law. The main technical tools are scattering and geometric perturbation theories. The derived relationship can lead us to a deep understanding of how the propagation conditions and the coupling effects between the elements of multiple-element arrays affect the properties of a MIMO channel, e.g. its capacity and its number of degrees of freedom.","authors_text":"Bernard Fleury, Francois Bentosela, Horia D. Cornean, Nicola Marchetti","cross_cats":["math-ph","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-12-15T13:13:05Z","title":"On the transfer matrix of a MIMO system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3323","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":"sha256:54f7e27ef278429a953c29c6679bb447926b2bc949eab8fa5894cee52d92f723","target":"record","created_at":"2026-05-18T01:29:12Z","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":"b1d1f3af230a20e5bddf1c06f0c218ae705736704a0540a34c933db6c71e9722","cross_cats_sorted":["math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-12-15T13:13:05Z","title_canon_sha256":"bf8e09645622d41a304869fad32e22d97100c72709114361757a311c5f374487"},"schema_version":"1.0","source":{"id":"1012.3323","kind":"arxiv","version":1}},"canonical_sha256":"b87c77e2c2863e2a9198ce45c0cd158a8cdea7388cdad4ace06a4942b0bfe4ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b87c77e2c2863e2a9198ce45c0cd158a8cdea7388cdad4ace06a4942b0bfe4ea","first_computed_at":"2026-05-18T01:29:12.088713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:12.088713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HCjbpXt45wpnVRxA/RAPZxtRrvc7NuVh3RlpeVrxTOQFR3EjOJePVkwjYOYso6TACc9Y88q2oQlzN6J3J411Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:12.089307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54f7e27ef278429a953c29c6679bb447926b2bc949eab8fa5894cee52d92f723","sha256:fb29e8e5b8d896660e0418391b49ff68fa753519d85d4fdf0541c1cba7ddb546"],"state_sha256":"9476b35dda852fc300be853a89f3d8b7bf2895184b5f235ec55de72eab5558d2"}