{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KXSZ5J4QNPLLYIH6BTINHO7LJJ","short_pith_number":"pith:KXSZ5J4Q","schema_version":"1.0","canonical_sha256":"55e59ea7906bd6bc20fe0cd0d3bbeb4a495762609e03ab94e3de50e5fdd10f48","source":{"kind":"arxiv","id":"2607.23487","version":1},"attestation_state":"computed","paper":{"title":"Computational and Effective Degrees of Freedom for Spatially Stationary HMIMO Channel Modeling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Hangsong Yan, Hong Yang, Shu Sun","submitted_at":"2026-07-26T06:23:38Z","abstract_excerpt":"This paper establishes a comprehensive theoretical framework for the continuous-to-discrete modeling of spatially stationary holographic MIMO (HMIMO) channels utilizing the Nystrom method with Gauss-Legendre quadrature (NGLQ). Starting with an operator-theoretic analysis of the NGLQ method, we prove that its quadrature error exhibits a super-exponential decay. Furthermore, we derive a spatial sampling threshold, termed computational degrees of freedom (cDoF), which reveals a {\\pi}/2 oversampling penalty over the physical DoF for 1D arrays, compounding to a 68% computational redundancy for 2D s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.23487","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T06:23:38Z","cross_cats_sorted":[],"title_canon_sha256":"5dd692925f61eb6894f0f2cf4fa7b1475e82406638f2879a04c0b616f2a1ce3a","abstract_canon_sha256":"857fe0cb25cfd8fe4c9730ca3e5d24bb648a1d50271f25997b85f36c8abc4131"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:22:55.528561Z","signature_b64":"x6l8WeH8RVSW7dSMPDrsnoxzntEpnXtJ5pXtK4Wz+9W2+poDy/4t7z0gnacc/rwwWCovnQcwyz/pCkmbtZG4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55e59ea7906bd6bc20fe0cd0d3bbeb4a495762609e03ab94e3de50e5fdd10f48","last_reissued_at":"2026-07-28T01:22:55.527725Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:22:55.527725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computational and Effective Degrees of Freedom for Spatially Stationary HMIMO Channel Modeling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Hangsong Yan, Hong Yang, Shu Sun","submitted_at":"2026-07-26T06:23:38Z","abstract_excerpt":"This paper establishes a comprehensive theoretical framework for the continuous-to-discrete modeling of spatially stationary holographic MIMO (HMIMO) channels utilizing the Nystrom method with Gauss-Legendre quadrature (NGLQ). Starting with an operator-theoretic analysis of the NGLQ method, we prove that its quadrature error exhibits a super-exponential decay. Furthermore, we derive a spatial sampling threshold, termed computational degrees of freedom (cDoF), which reveals a {\\pi}/2 oversampling penalty over the physical DoF for 1D arrays, compounding to a 68% computational redundancy for 2D s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23487","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.23487/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.23487","created_at":"2026-07-28T01:22:55.528157+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.23487v1","created_at":"2026-07-28T01:22:55.528157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23487","created_at":"2026-07-28T01:22:55.528157+00:00"},{"alias_kind":"pith_short_12","alias_value":"KXSZ5J4QNPLL","created_at":"2026-07-28T01:22:55.528157+00:00"},{"alias_kind":"pith_short_16","alias_value":"KXSZ5J4QNPLLYIH6","created_at":"2026-07-28T01:22:55.528157+00:00"},{"alias_kind":"pith_short_8","alias_value":"KXSZ5J4Q","created_at":"2026-07-28T01:22:55.528157+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ","json":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ.json","graph_json":"https://pith.science/api/pith-number/KXSZ5J4QNPLLYIH6BTINHO7LJJ/graph.json","events_json":"https://pith.science/api/pith-number/KXSZ5J4QNPLLYIH6BTINHO7LJJ/events.json","paper":"https://pith.science/paper/KXSZ5J4Q"},"agent_actions":{"view_html":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ","download_json":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ.json","view_paper":"https://pith.science/paper/KXSZ5J4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.23487&json=true","fetch_graph":"https://pith.science/api/pith-number/KXSZ5J4QNPLLYIH6BTINHO7LJJ/graph.json","fetch_events":"https://pith.science/api/pith-number/KXSZ5J4QNPLLYIH6BTINHO7LJJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ/action/storage_attestation","attest_author":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ/action/author_attestation","sign_citation":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ/action/citation_signature","submit_replication":"https://pith.science/pith/KXSZ5J4QNPLLYIH6BTINHO7LJJ/action/replication_record"}},"created_at":"2026-07-28T01:22:55.528157+00:00","updated_at":"2026-07-28T01:22:55.528157+00:00"}