{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KXSZ5J4QNPLLYIH6BTINHO7LJJ","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":"857fe0cb25cfd8fe4c9730ca3e5d24bb648a1d50271f25997b85f36c8abc4131","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T06:23:38Z","title_canon_sha256":"5dd692925f61eb6894f0f2cf4fa7b1475e82406638f2879a04c0b616f2a1ce3a"},"schema_version":"1.0","source":{"id":"2607.23487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23487","created_at":"2026-07-28T01:22:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23487v1","created_at":"2026-07-28T01:22:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23487","created_at":"2026-07-28T01:22:55Z"},{"alias_kind":"pith_short_12","alias_value":"KXSZ5J4QNPLL","created_at":"2026-07-28T01:22:55Z"},{"alias_kind":"pith_short_16","alias_value":"KXSZ5J4QNPLLYIH6","created_at":"2026-07-28T01:22:55Z"},{"alias_kind":"pith_short_8","alias_value":"KXSZ5J4Q","created_at":"2026-07-28T01:22:55Z"}],"graph_snapshots":[{"event_id":"sha256:1392b17d722d4e565acb4603c8e7b959c81bc21518b96709b50b2526902d10f6","target":"graph","created_at":"2026-07-28T01:22:55Z","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/2607.23487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Hangsong Yan, Hong Yang, Shu Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T06:23:38Z","title":"Computational and Effective Degrees of Freedom for Spatially Stationary HMIMO Channel Modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23487","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:c45541feac544d4b87b7a8900a95d97c8644a9d9f1c05ff000a68c94c4206d5e","target":"record","created_at":"2026-07-28T01:22:55Z","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":"857fe0cb25cfd8fe4c9730ca3e5d24bb648a1d50271f25997b85f36c8abc4131","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T06:23:38Z","title_canon_sha256":"5dd692925f61eb6894f0f2cf4fa7b1475e82406638f2879a04c0b616f2a1ce3a"},"schema_version":"1.0","source":{"id":"2607.23487","kind":"arxiv","version":1}},"canonical_sha256":"55e59ea7906bd6bc20fe0cd0d3bbeb4a495762609e03ab94e3de50e5fdd10f48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55e59ea7906bd6bc20fe0cd0d3bbeb4a495762609e03ab94e3de50e5fdd10f48","first_computed_at":"2026-07-28T01:22:55.527725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:22:55.527725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x6l8WeH8RVSW7dSMPDrsnoxzntEpnXtJ5pXtK4Wz+9W2+poDy/4t7z0gnacc/rwwWCovnQcwyz/pCkmbtZG4AQ==","signature_status":"signed_v1","signed_at":"2026-07-28T01:22:55.528561Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c45541feac544d4b87b7a8900a95d97c8644a9d9f1c05ff000a68c94c4206d5e","sha256:1392b17d722d4e565acb4603c8e7b959c81bc21518b96709b50b2526902d10f6"],"state_sha256":"285291713848ba2ddc3505f9606d09ac169d0aeb87a200bc914233b9e0e787fe"}