{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ARFX2LQZF7NDYQUP3H2M6WBZ74","short_pith_number":"pith:ARFX2LQZ","schema_version":"1.0","canonical_sha256":"044b7d2e192fda3c428fd9f4cf5839ff2bd9f7a5f2517652f9941fd87b4d5bad","source":{"kind":"arxiv","id":"2509.01641","version":3},"attestation_state":"computed","paper":{"title":"Non-Identical Diffusion Models in MIMO-OFDM Channel Generation","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"eess.SP","authors_text":"M\\'erouane Debbah, Omar Alhussein, Yuzhi Yang","submitted_at":"2025-09-01T17:33:39Z","abstract_excerpt":"We propose a novel diffusion model, termed the non-identical diffusion model, and investigate its application to wireless orthogonal frequency division multiplexing (OFDM) channel generation. Unlike the standard diffusion model that uses a scalar-valued time index to represent the global noise level, we extend this notion to an element-wise time indicator to capture local error variations more accurately. Non-identical diffusion enables us to characterize the reliability of each element (e.g., subcarriers in OFDM) within the noisy input, leading to improved generation results when the initiali"},"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":"2509.01641","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SP","submitted_at":"2025-09-01T17:33:39Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"6e48a0ae13fd0b4a1ecd6c823e58fe712edaf11f65afdc700e93bf70597b24b7","abstract_canon_sha256":"963dfffc2cba313f42fa30d521c4468b9edb2f1a2e3c660fc094baf12ccf1cc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:05.744308Z","signature_b64":"7TiX2w5yBriMq2XWMVcuFY1j/Wp1mK6Crb5SGHiYMczojlGnPqHZ+IDTCdXTj0Y4ssbeIBDWUVBC88LwLUnGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"044b7d2e192fda3c428fd9f4cf5839ff2bd9f7a5f2517652f9941fd87b4d5bad","last_reissued_at":"2026-06-03T01:05:05.743848Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:05.743848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Identical Diffusion Models in MIMO-OFDM Channel Generation","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"eess.SP","authors_text":"M\\'erouane Debbah, Omar Alhussein, Yuzhi Yang","submitted_at":"2025-09-01T17:33:39Z","abstract_excerpt":"We propose a novel diffusion model, termed the non-identical diffusion model, and investigate its application to wireless orthogonal frequency division multiplexing (OFDM) channel generation. Unlike the standard diffusion model that uses a scalar-valued time index to represent the global noise level, we extend this notion to an element-wise time indicator to capture local error variations more accurately. Non-identical diffusion enables us to characterize the reliability of each element (e.g., subcarriers in OFDM) within the noisy input, leading to improved generation results when the initiali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.01641","kind":"arxiv","version":3},"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/2509.01641/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":"2509.01641","created_at":"2026-06-03T01:05:05.743908+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.01641v3","created_at":"2026-06-03T01:05:05.743908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.01641","created_at":"2026-06-03T01:05:05.743908+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARFX2LQZF7ND","created_at":"2026-06-03T01:05:05.743908+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARFX2LQZF7NDYQUP","created_at":"2026-06-03T01:05:05.743908+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARFX2LQZ","created_at":"2026-06-03T01:05:05.743908+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/ARFX2LQZF7NDYQUP3H2M6WBZ74","json":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74.json","graph_json":"https://pith.science/api/pith-number/ARFX2LQZF7NDYQUP3H2M6WBZ74/graph.json","events_json":"https://pith.science/api/pith-number/ARFX2LQZF7NDYQUP3H2M6WBZ74/events.json","paper":"https://pith.science/paper/ARFX2LQZ"},"agent_actions":{"view_html":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74","download_json":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74.json","view_paper":"https://pith.science/paper/ARFX2LQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.01641&json=true","fetch_graph":"https://pith.science/api/pith-number/ARFX2LQZF7NDYQUP3H2M6WBZ74/graph.json","fetch_events":"https://pith.science/api/pith-number/ARFX2LQZF7NDYQUP3H2M6WBZ74/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74/action/storage_attestation","attest_author":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74/action/author_attestation","sign_citation":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74/action/citation_signature","submit_replication":"https://pith.science/pith/ARFX2LQZF7NDYQUP3H2M6WBZ74/action/replication_record"}},"created_at":"2026-06-03T01:05:05.743908+00:00","updated_at":"2026-06-03T01:05:05.743908+00:00"}